Pith. sign in

REVIEW 2 major objections 5 minor 1 cited by

Metamaterials and Fluid Flows

T0 review · 2 major / 5 minor · reviewed 2026-08-05 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗ Review JSON

Pith's one-line read Architecting the interior of a material turns its surface into a wave-based controller of coupled fluid flow, sound, and vibration.

desk verdict A broad, honest review of metamaterials for flow control; the flagship TS-wave application is plausible but the load-bearing coupling strength is stated, not demonstrated. read the letter →

arxiv 2509.05371 v1 pith:JOXEGKIF submitted 2025-09-04 cond-mat.soft cond-mat.mtrl-sciphysics.flu-dyn

Francesco Avallone , Federico Bosia , Yi Chen , Giada Colombo , Richard Craster , Jacopo Maria De Ponti , Nicolò Fabbiane , Michael R. Haberman
show 15 more authors
Mahmoud I. Hussein Wontae Hwang Umberto Iemma Abigail Juhl Muamer Kadic Marios Kotsonis Vincent Laude Olivier Marquet Fabien Mery Theodoros Michelis Mostafa Nouh Daniele Ragni Marie Touboul Martin Wegener Anastasiia O. Krushynska
This is my paper · ORCID
classification cond-mat.softcond-mat.mtrl-sciphysics.flu-dyn
keywords metamaterialsfluid-structureinteractionflowcontrolphononicsubsurfacesacoustictopologicalphononicsnonlocalelasticityventilated
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This review and perspectives paper argues that metamaterials—materials with deliberately engineered internal structure—can control fluid flows, acoustics, and vibrations as one coupled system, with material architecture serving as the design variable. The authors claim that well-chosen subsurface or surface patterning can couple to boundary-layer instabilities such as Tollmien–Schlichting waves, delay laminar-to-turbulent transition, mitigate separation, reduce drag, and suppress flow-induced noise and vibration. They survey three fronts: flow–structure interactions, acoustic–structure interactions (including ventilated noise barriers), and exotic concepts such as topological, nonlocal, and space-time-varying metamaterials. If the premise holds, the payoff includes lower fuel consumption in transport, quieter aeroengines and wind turbines, and better tools for manipulating microparticles in biomedical microfluidics. The paper's contribution is a synthesis and an agenda: it collects proof-of-concept results and outlines the obstacles—most prominently the impedance mismatch between weak flow perturbations and solid structures—that remain before practical adoption.

What carries the argument

The central mechanism is wave-based control via engineered dispersion. The signature object is the phononic subsurface (PSub)—a periodic (phononic crystal) or locally resonant (elastic metamaterial) structure buried beneath a surface that converts boundary-layer pressure fluctuations into elastic waves with a designed phase relationship, achieving passive 'counter-response' interference with Tollmien–Schlichting waves. Supporting machinery includes Bloch's theorem for periodic media (band gaps, phase/group velocity tailoring), Helmholtz resonators as fluidic single-input/single-output controls, impedance matching for acoustic liners, and, in the exotic section, topological invariants (Berry

What would settle it

A direct wind-tunnel test using naturally growing Tollmien–Schlichting waves (amplitude about 10^-6 of the free-stream speed) over a phononic subsurface, with the surface displacement measured by vibrometry; if the subsurface produces no measurable phase-locked out-of-plane displacement at the TS-wave frequency, or if the displacement is present but does not shift the transition location, the passive flow-control claim is falsified.

Watch

Extended reading notes

Core claim

The paper's central claim is that engineering the internal structure of materials—rather than relying on surface shape alone—provides a new design variable for controlling coupled fluidic, acoustic, and elastodynamic responses. Three lines of evidence support this: phononic subsurfaces that use buried periodic or locally resonant structures to create phased interference with boundary-layer instabilities; acoustic metamaterials, including ventilated designs that block sound while letting flow pass, and aeroacoustic liners with tunable impedance; and exotic concepts—topological states, nonlocal elasticity, and space-time modulation—that break symmetries such as reciprocity and enable one-way o

Load-bearing premise

The load-bearing premise is that a passive, engineered subsurface can couple strongly enough to extremely weak boundary-layer disturbances—Tollmien–Schlichting waves are about 10^-6 of the free-stream speed during linear growth—that the induced surface motion creates a meaningful phase-locked control response despite the large fluid–solid impedance mismatch.

Editorial extensions

If this is right

  • Phononic subsurfaces that couple effectively to boundary-layer waves could deliver passive transition delay and separation control on wings, rotors, and hulls, reducing drag and unsteady loads without active actuators.
  • Ventilated acoustic metamaterials could replace bulky mufflers and restrictive porous liners in ducts, engine inlets, and HVAC systems, providing broadband low-frequency noise attenuation while preserving flow.
  • Topological states in fluid-coupled phononic crystals could give robust, backscattering-immune waveguides and sensors for underwater and airborne acoustics.
  • Nonlocal and space-time modulated metamaterials could break reciprocity in flow environments, enabling acoustic diodes, one-way vibration isolators, and surfaces that react to changing flow conditions.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The review leaves implicit that the impedance-mismatch hurdle is much smaller in water than in air, so early practical demonstrations of PSub-based flow control are more likely on marine hulls and underwater vehicles than on aircraft wings.
  • The space-time modulation ideas suggest a testable extension: use the flow itself as the time-varying element (a rotating impeller or oscillating boundary) to create non-reciprocal wave devices without a separate modulated material.
  • The nonlocal 'backward current' analogy implies a microfluidic experiment where a metamaterial channel generates persistent counter-flow vortices at low Reynolds numbers, mimicking turbulent mixing without turbulence.
Share X Bluesky LinkedIn Reddit HN

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

2 major / 5 minor

Summary. This is a review/perspectives article surveying the intersection of metamaterials and fluid flows. It is organized into three main parts: flow–structure interactions (transitional boundary-layer instabilities, separated/unsteady flows, turbulent flows, and surface gravity waves), acoustic interactions with structures (aeroacoustic noise, ventilated acoustic metamaterials, and acoustofluidic particle manipulation), and exotic elastic metamaterial concepts (topological, nonlocal, and space-time-modulated systems). The central claim is that engineering the internal structure of materials at fluid interfaces opens a new horizon for controlling coupled fluidic, acoustic, and elastodynamic responses, with potential applications in drag reduction, noise mitigation, and vibration control. The paper provides no new derivations or experiments; it is a survey with perspective-style commentary and an extensive reference list.

Significance. The review is broad, current, and interdisciplinary, and it identifies a genuinely emerging research theme that sits between the metamaterials community and the fluid-mechanics/aeroacoustics community. Its main value is organizational: it brings together recent work on phononic subsurfaces, porous and ventilated metamaterials, topological acoustics, nonlocal elasticity, and space-time modulation under a common fluid–structure interaction framework. The paper is candid about several important limitations, including the impedance mismatch for Tollmien–Schlichting waves in gases, the drag penalties of acoustic liners, and the scarcity of work combining space-time metamaterials with flows. These admissions strengthen the credibility of the survey. However, the paper is primarily a map of existing work rather than a critical evaluation: most performance claims are quoted from individual references without cross-comparison, and several flagship flow-control claims rest on qualitative assertions rather than quantitative evidence.

major comments (2)
  1. [Section 2.1] The central flow-control claim—that passive phononic subsurfaces (PSubs) can couple to Tollmien–Schlichting waves strongly enough to stabilize the boundary layer and delay transition—is asserted without quantitative support. The text acknowledges the key obstacle: TS amplitudes are O(10^-6 U_infty) during linear growth, leading to 'large impedance mismatch at the fluid-structure interface, particularly if the fluid is in gas state.' The proposed remedy, tuning PSub properties to exhibit 'a target compliance over and above the desired phononic properties,' is stated without any estimate of the achievable surface displacement per unit TS pressure fluctuation, the fluid–solid transfer function gain, or the required control authority. References [6–10] are cited, but their quantitative results are not distilled into the review. Because the abstract and conclusion promise 'precise and effecti
  2. [Sections 2.1 and 2.2] The paper does not reconcile the PSub/TS-wave stabilization narrative with the well-documented destabilizing mechanisms from the compliant-wall literature. Section 2.1 correctly notes that compliant walls can exacerbate coupled fluid-structural instabilities of Rayleigh–Taylor type and that structural viscous effects can be destabilizing. Yet Section 2.2 then states that PSubs are applicable to separation control through 'in-phase interferences ... to cause destabilization,' without explaining how PSubs avoid the compliant-wall instability mechanisms or what parameter ranges separate beneficial from detrimental coupling. This is not a fatal flaw for a survey, but it leaves the reader without a way to assess whether PSubs are fundamentally different from the flexible walls that were extensively studied and found to have serious stability limitations. A short critical comparison, even qual
minor comments (5)
  1. [Section 1.1] The text says 'a transient flow regime in between' when describing laminar-to-turbulent transition; 'transitional flow regime' is the standard term.
  2. [Section 2.1] The phrase 'the fluid is in gas state (e.g. air)' is awkward; 'the fluid is gaseous (e.g., air)' would be cleaner. Also, 'over and above the desired phononic properties' could be simplified.
  3. [References] The reference list has inconsistent formatting: some entries use unusual author tagging, several DOIs are malformed or incomplete, and some items (e.g., [37], [163], [175]) are arXiv preprints or lack complete bibliographic details. A careful editorial pass is needed.
  4. [Section 4.2] The sentence citing [163] for 'mechanical metamaterials comprise solid matrices with internal voids' appears to reference a paper on gravitational-wave detection using a chiral resonant mechanical element; this citation seems thematically disconnected from the point being made.
  5. [Abstract and Conclusion] The claim that this theme is 'relatively unexplored' sits in some tension with the paper's own extensive review of decades of compliant-wall and porous-surface research. The novelty is more precisely in the use of material architecture/metamaterial concepts, and this could be stated more sharply.

Circularity Check

0 steps flagged · score 1.0 of 10

No significant circularity: review/framing paper with dense but non-load-bearing self-citations.

full rationale

This is a perspectives/review article, not a derivation. It surveys published results and standard theory; its central claim is a synthesis, not a prediction derived from fitted parameters. The governing equations in §1.1 and Figure 2 are textbook (Navier–Stokes, Cauchy momentum, Bloch's theorem), and the paper does not claim to derive any new metamaterial response from them. I looked for the specific circularity patterns: (1) no quantity is defined in terms of the result it is used to predict; (2) no parameter is fitted to a subset of data and then presented as a prediction of a closely related observable; (3) self-citations (e.g., PSub work [6]–[11], [37], Fabbiane et al. [17], Iemma & Palma [99], Colombo & Iemma [220,221]) are used as pointers to prior work, but no load-bearing argument reduces to an unverified self-citation—the review's organizational claims would not collapse if any single cited result were weaker; (4) no uniqueness theorem from the authors' prior work is invoked to forbid alternatives; (5) no ansatz is smuggled in via citation—PSubs and compliant surfaces are described as reported concepts, not adopted as a forced assumption; (6) no known empirical pattern is renamed as a new organizing principle. The paper itself flags the key feasibility issue in §2.1: TS waves have amplitude O(10^-6 U∞), leading to large impedance mismatch, and calls the compliant-PSub remedy a 'potential' remedy. That is an honest limitation, not a disguised input. Similarly, §4.3 notes that 'very few works combine the concept of space-time modulated metamaterials and fluid flows,' and §5 states integration remains challenging. These statements lower confidence in the practical claims, but they are not circular. I therefore find no significant circularity; the frequent self-citations warrant only a minimal score because they are dense but not load-bearing.

Assumptions & free parameters 0 free parameters · 3 assumptions · 0 invented entities

This review does not introduce new parameters or entities. It relies on standard continuum mechanics and wave theory as background, and the assumptions listed are invoked as the theoretical foundation (Section 1.1) and are not under debate in the review.

assumptions (3)
  • domain assumption Navier-Stokes and Cauchy momentum equations govern the fluid and solid dynamics in the surveyed regimes
    Invoked in Section 1.1 as the theoretical foundation for the review; standard continuum mechanics.
  • standard math Bloch's theorem applies to the periodic metamaterials discussed
    Used in Section 1.1 to describe wave propagation in phononic crystals and acoustic metamaterials.
  • domain assumption Linear acoustic wave equation is valid for the acoustic regimes discussed
    Presented in Section 1.1 as a governing equation for gases; a standard assumption in aeroacoustics.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Metamaterials and Fluid Flows." pith.science (2026). https://pith.science/paper/JOXEGKIF

@misc{pith2026250905371,
  author       = {Pith},
  title        = {Pith review of: Metamaterials and Fluid Flows},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/JOXEGKIF}},
  note         = {Machine review of arXiv:2509.05371}
}
read the original abstract

Understanding and controlling the dynamic interactions between fluid flows and solid materials and structures-a field known as fluid-structure interaction -is central not only to established disciplines such as aerospace and naval engineering but also to emerging technologies such as energy harvesting, soft robotics, and biomedical devices. In recent years, the advent of metamaterials-rationally designed composites with properties beyond their constituents, often not found in conventional materials-has provided exciting opportunities for rethinking and redesigning fluid-structure interaction. The premise of engineering the internal structure of materials interfacing with fluid flows is opening a new horizon for precise and effective manipulation and control of coupled fluidic, acoustic, and elastodynamics responses. This review focuses on this relatively unexplored interdisciplinary theme with broad real-world technological significance. Key performance metrics, such as fuel consumption of transport systems, efficiency of renewable energy extraction, mitigation of noise emissions, and resilience to structural fatigue, depend on the control of interactions between flow, acoustic, and vibration mechanisms. Flow control, for example, which spans a wealth of regimes such as laminar, transitional, turbulent, and unsteady separated flows, is highly influenced by the ability to tailor fluid-structure interaction behavior. We survey and discuss theoretical frameworks that describe the interplay between fluids and elastic solids, with a focus on contemporary work and emerging concepts. The paper is organised into three main sections-flow-structure interactions, acoustic-structure interactions, and exotic metamaterial concepts with potential impact on fluid-structure interaction-and concludes with perspectives on current challenges and future directions in this rapidly expanding area of research.

Figures

Figures reproduced from arXiv: 2509.05371 by the authors.

Figure 1
Figure 1. Metamaterial and complex wave propagation phenomena for fluid-structure interactions. The top part illustrates coupled flow- and sound-structure coupling with bulk metamaterials, the central part shows an example of flow- or sound-surface interactions, and the bottom part overviews the wave manipulation mechanisms for engineered fluid-structure interactions. concepts are vital for aeroacoustic design and noise mitig… view at source ↗
Figure 2
Figure 2. Illustrative representation of the theoretical formulation for fluid-structure interaction. The three main dynamic equations for gas, fluid, and solid media, together with the interface boundary conditions for the three different combinations. distinguishing between different flow regimes: laminar flow dominates at low Reynolds numbers (viscous forces prevail), while turbulent flow emerges at high Reynolds numbers (… view at source ↗
Figure 3
Figure 3. Conceptualization of typical flow regimes interacting with engineered surfaces/subsurfaces. (Top) Schematic representation of typical flow regimes in order of increasing unsteadiness. (Bottom) Structural solutions for flow control, (a) Phononic Subsurfaces (PSubs) [6, 7, 8, 9, 10, 11], (b) fluidic resonators [12, 13, 14], (c) compliant surfaces [15, 16, 17, 18], (d) riblets [19, 20, 21] or patterns [22, 23, 24, 25, … view at source ↗
Figures from the paper (1 more)
Figure 4
Figure 4. Figure 4: Examples of metamaterials for controlling acoustic waves and flow regimes. Poroelastic metamaterials exhibit effective negative compressibility when subjected to an increase in external air pressure. [81] Porous inserts can be used to reduce internal flow turbulence fo…

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Super resonance: Breaking the bandwidth limit of resonant modes and its application to flow control

    physics.flu-dyn 2025-09 conditional novelty 5.0 of 10

    Coiling a phononic subsurface so that several internal pathways meet at one flow interface widens the out-of-phase resonance band about fivefold and suppresses four Tollmien-Schlichting waves in DNS.

Reference graph

Works this paper leans on

221 extracted references · 60 canonical work pages · cited by 1 Pith paper

  1. [1]

    authorMaugin, G. A. & authorMetrikine, A. V. titleMechanics of gen- eralized continua. Advances in Mechanics and Mathematics (publisher- Springer US, year2010)

  2. [2]

    authorMilton, G. W. & authorWillis, J. R. journaltitleOn modifications of newton’s second law and linear continuum elastodynamics.Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume463, pages855–880 (year2007)

  3. [3]

    & authorWegener, M

    authorFrenzel, T., authorKadic, M. & authorWegener, M. journaltitleThree-dimensional mechanical metamaterials with a twist. Science volume358, pages1072–1074 (year2017)

  4. [4]

    J.titlePhysical fluid dynamics(publisherSpringer Sci- ence & Business Media, year2012)

    authorTritton, D. J.titlePhysical fluid dynamics(publisherSpringer Sci- ence & Business Media, year2012)

  5. [5]

    H., authorZingg, D

    authorLomax, H., authorPulliam, T. H., authorZingg, D. W., authorPul- liam, T. H. & authorZingg, D. W. titleFundamentals of computational fluid dynamics, vol. volume246 (publisherSpringer, year2001)

  6. [6]

    I., authorBiringen, S., authorBilal, O

    authorHussein, M. I., authorBiringen, S., authorBilal, O. R. & authorKu- cala, A. journaltitleFlow stabilization by subsurface phonons.Proceedings of the Royal Society Avolume471, pages20140928 (year2015)

  7. [7]

    journaltitlePhononic-subsurface flow stabilization by subwavelength locally resonant metamaterials.New Journal of Physicsvolume25, pages053021 (year2023)

    authorKianfar, A.&authorHussein, M.I. journaltitlePhononic-subsurface flow stabilization by subwavelength locally resonant metamaterials.New Journal of Physicsvolume25, pages053021 (year2023)

  8. [8]

    & authorKotsonis, M

    authorMichelis, T., authorPutranto, A. & authorKotsonis, M. journalti- tleAttenuation of tollmien–schlichting waves using resonating surface- embedded phononic crystals.Physics of Fluidsvolume35 (year2023). 21

Show all 221 references
  1. [9]

    authorWilley, C. L.et al. journaltitleMulti-input multi-output phononic subsurfaces for passive boundary layer transition delay.Journal of Fluids and Structuresvolume121, pages103936 (year2023)

  2. [10]

    & authorNouh, M

    authorSchmidt, R., authorYousef, H., authorRoy, I., authorScalo, C. & authorNouh, M. journaltitlePerturbation energy extraction from a fluid via a subsurface acoustic diode with sustained downstream attenuation. Journal of Applied Physicsvolume137 (year2025)

  3. [11]

    authorNavarro, J. D. et al. journaltitleStabilization of hypersonic shockwave/boundary-layer interactions with phononic metamaterials. Matter (year2025)

  4. [12]

    & authorKotsonis, M

    authorMichelis, T., authorde Koning, C. & authorKotsonis, M. journalti- tleOn the interaction of tollmien–schlichting waves with a wall-embedded helmholtz resonator.Physics of Fluidsvolume35, pages034104, 10.1063/ 5.0141685 (year2023)

  5. [13]

    & authorBaars, W

    authorDacome, G., authorSiebols, R. & authorBaars, W. journaltitleSmall-scale helmholtz resonators with grazing turbulent boundary layer flow. Journal of Turbulence volume25, pages461–481 (year2024)

  6. [14]

    & author- Baars, W

    authorHassanein, A., authorModesti, D., authorScarano, F. & author- Baars, W. J. journaltitleInteraction of an inner-scaled helmholtz res- onator with boundary-layer turbulence.Physical Review Fluidsvolume9, pages114610 (year2024)

  7. [15]

    authorBenjamin, T. B. journaltitleEffects of a flexible boundary on hydro- dynamic stability. Journal of Fluid Mechanicsvolume9, pages513–532 (year1960)

  8. [16]

    W., authorLucey, A.D

    authorCarpenter, P. W., authorLucey, A.D. &authorDavies, C. journalti- tleProgress on the use of compliant walls for laminar-flow control.Journal of Aircraftvolume38, pages504–512, 10.2514/2.2790 (year2001)

    doi

  9. [17]

    & authorCouliou, M

    authorFabbiane, N., authorMarquet, O., authorPierpaoli, L., authorCot- tereau, R. & authorCouliou, M. journaltitlePhononic compliant surfaces for the suppression of travelling wave flutter instabilities in boundary-layer flows. Journal of Fluid Mechanics(yearin press)

  10. [18]

    titleInstabilities and optimization of elastic stru- tures interacting with laminar flows

    authorPfister, J.-L. titleInstabilities and optimization of elastic stru- tures interacting with laminar flows. Ph.D. thesis, schoolUniversité Paris- Saclay, addressFrance (year2019)

  11. [19]

    & authorWeinstein, L

    authorWalsh, M. & authorWeinstein, L. titleDrag and heat transfer on surfaces with small longitudinal fins. Inbooktitle11th Fluid and Plasma- Dynamics Conference, pages1161 (year1978). 22

  12. [20]

    journaltitlePassive and active control of near-wall turbulence

    authorPollard, A. journaltitlePassive and active control of near-wall turbulence. Progress in aerospace sciences volume33, pages689–708 (year1998)

  13. [21]

    journaltitlePassive and active control of turbulent flows

    authorGhaemi, S. journaltitlePassive and active control of turbulent flows. Physics of fluidsvolume32 (year2020)

  14. [22]

    & authorGarcía-Mayoral, R

    authorSharma, A. & authorGarcía-Mayoral, R. journaltitleTurbulent flows over dense filament canopies. Journal of Fluid Mechanics vol- ume888, pagesA2 (year2020)

  15. [23]

    & authorKotso- nis, M

    authorZoppini, G., authorMichelis, T., authorRagni, D. & authorKotso- nis, M. journaltitleCancellation of crossflow instabilities through mul- tiple discrete roughness elements forcing. Phys. Rev. Fluids volume7, pages123902, 10.1103/PhysRevFluids.7.123902 (year2022)

    doi

  16. [24]

    authorZoppini, G.titleReceptivity of Swept Wing Boundary Layers to Sur- face Roughness: Diagnostics and extension to flow control. Ph.D. thesis, schoolDelft University of Technology (year2023)

  17. [25]

    & authorKrushynska, A

    authorPiest, B., authorDruetta, P. & authorKrushynska, A. journalti- tleMitigation of flow-induced vibrations in high-speed flows using triply periodic minimal surface structures. Physics of Fluids volume36 (year2024)

  18. [26]

    X., authorFan, D

    authorHickey, J.-P., authorYounes, K., authorYao, M. X., authorFan, D. & authorMouallem, J. journaltitleTargeted turbulent structure control in wall-bounded flows via localized heating. Physics of Fluids volume32 (year2020)

  19. [27]

    & authorBewley, T

    authorLuo, H. & authorBewley, T. R. titleDesign, modeling, and op- timization of compliant tensegrity fabrics for the reduction of turbulent skin friction. InbooktitleSmart Structures and Materials 2003: Modeling, Signal Processing, and Control, vol. volume5049, pages460–470 (...

    2003

  20. [28]

    authorWen, X. et al. journaltitleDynamic kirigami structures for wake flow control behind a circular cylinder. Physics of Fluids volume35 (year2023)

  21. [29]

    V., authorMalmuth, N

    authorFedorov, A. V., authorMalmuth, N. D., authorRasheed, A. & authorHornung, H. G. journaltitleStabilization of hypersonic bound- ary layers by porous coatings.AIAA journal volume39, pages605–610 (year2001)

  22. [30]

    E., authorBrandt, L

    authorRosti, M. E., authorBrandt, L. & authorPinelli, A. journaltitle- Turbulent channel flow over an anisotropic porous wall–drag increase and reduction. Journal of Fluid Mechanics volume842, pages381–394 (year2018). 23

  23. [31]

    & authorRuck, B

    authorKlausmann, K. & authorRuck, B. journaltitleDrag reduction of circular cylinders by porous coating on the leeward side.Journal of Fluid Mechanics volume813, 10.1017/jfm.2016.757 (year2017)

    2016 doi

  24. [32]

    authorKachanov, Y. S. journaltitlePhysical mechanisms of laminar- boundary-layer transition.Annual Review of Fluid Mechanicsvolume26, pages411–482, 10.1146/annurev.fl.26.010194.002211 (year1994)

  25. [33]

    authorMilling, R. W. journaltitleTollmien–schlichting wave cancellation. Physics of Fluidsvolume24, pages979–981 (year1981)

  26. [34]

    I., authorLeamy, M

    authorHussein, M. I., authorLeamy, M. J. & authorRuzzene, M. journalti- tleDynamics of phononic materials and structures: Historical origins, re- cent progress, and future outlook.Applied Mechanics Reviewsvolume66 (year2014)

  27. [35]

    & authorJuhl, A

    authorBarnes, C.J., authorWilley, C.L., authorRosenberg, K., authorMe- dina, A. & authorJuhl, A. T. titleInitial computational investigation to- ward passive transition delay using a phononic subsurface. InbooktitleA- IAA Scitech 2021 Forum, pages1454 (year2021)

    2021

  28. [36]

    journaltitleLocalflowcontrolby phononic subsurfaces over extended spatial domains.Journal of Applied Physics volume134 (year2023)

    authorKianfar, A.&authorHussein, M.I. journaltitleLocalflowcontrolby phononic subsurfaces over extended spatial domains.Journal of Applied Physics volume134 (year2023)

  29. [37]

    I., authorRoca, D., authorHarris, A

    authorHussein, M. I., authorRoca, D., authorHarris, A. R. & authorKian- far, A. journaltitleScatterless interferences: Delay of laminar-to-turbulent flow transition by a lattice of subsurface phonons. arXiv preprint arXiv:2503.18835 (year2025)

    arXiv

  30. [38]

    B., authorWilley, C

    authorAl Ba’ba’a, H. B., authorWilley, C. L., authorChen, V. W., au- thorJuhl, A. T. & authorNouh, M. journaltitleTheory of truncation reso- nances in continuum rod-based phononic crystals with generally asymmet- ric unit cells.Advanced Theory and Simulationsvolume6, pages2200...

  31. [39]

    I., authorDavis, B

    authorRosa, M. I., authorDavis, B. L., authorLiu, L., authorRuzzene, M. & authorHussein, M. I. journaltitleMaterial vs. structure: Topological origins of band-gap truncation resonances in periodic structures.Physical Review Materialsvolume7, pages124201 (year2023)

  32. [40]

    authorBenjamin, T. B. journaltitleEffects of a flexible boundary on hydro- dynamic stability. Journal of Fluid Mechanicsvolume9, pages513–532, 10.1017/S0022112060001286 (year1960)

    doi

  33. [41]

    authorLandahl, M. T. journaltitleOn the stability of a laminar incom- pressible boundary layer over a flexible surface.Journal of Fluid Mechan- ics volume13, pages609–632, 10.1017/S002211206200097X (year1962). 24

    doi

  34. [42]

    authorBenjamin, T. B. journaltitleThe threefold classification of unsta- ble disturbances in flexible surfaces bounding inviscid flows.Journal of Fluid Mechanics volume16, pages436–450, 10.1017/S0022112063000884 (year1963)

    doi

  35. [43]

    authorCarpenter, P. W. & authorGarrad, A. D. journaltitleThe hy- drodynamic stability of flow over Kramer-type compliant surfaces. Part

  36. [44]

    Journal of Fluid Mechanics vol- ume155, pages465–510, 10.1017/S0022112085001902 (year1985)

    Tollmien-Schlichting instabilities. Journal of Fluid Mechanics vol- ume155, pages465–510, 10.1017/S0022112085001902 (year1985)

    doi

  37. [45]

    authorCarpenter, P. W. & authorGarrad, A. D. journaltitleThe hydrody- namic stability of flow over kramer-type compliant surfaces. part 2. flow- induced surface instabilities. Journal of Fluid Mechanics volume170, pages199–232, 10.1017/S002211208600085X (year1986)

    doi

  38. [46]

    authorYeo, K. S. journaltitleThe stability of boundary-layer flow over single-and multi-layer viscoelastic walls.Journal of Fluid Mechanicsvol- ume196, pages359–408, 10.1017/S0022112088002745 (year1988)

    doi

  39. [47]

    & authorLucey, A

    authorTsigklifis, K. & authorLucey, A. D. journaltitleThe interaction of Blasius boundary-layer flow with a compliant panel: global, local and transient analyses. Journal of Fluid Mechanicsvolume827, pages155– 193, 10.1017/jfm.2017.453 (year2017)

    2017 doi

  40. [48]

    & authorMarquet, O

    authorPfister, J.-L., authorFabbiane, N. & authorMarquet, O. journalti- tleGlobal stability and resolvent analyses of laminar boundary-layer flow interacting with visco-elastic patches. Journal of Fluid Mechanicsvol- ume937, pagesA1, 10.1017/jfm.2022.72 (year2022)

    2022 doi

  41. [49]

    & au- thorCheng, L

    authorZhao, R., authorLiu, T., authorWen, C.-y., authorZhu, J. & au- thorCheng, L. journaltitleImpedance-near-zero acoustic metasurface for hypersonicboundary-layerflowstabilization. Phys. Rev. Appl.volume11, pages044015, 10.1103/PhysRevApplied.11.044015 (year2019)

    doi

  42. [50]

    S., authorReed, H

    authorSaric, W. S., authorReed, H. L. & authorWhite, E. B. journalti- tleStability and transition of three-dimensional boundary layers.Annual Review of Fluid Mechanicsvolume35, pages413–440, https://doi.org/10. 1146/annurev.fluid.35.101101.161045 (year2003)

  43. [51]

    & authorMischenko, D

    authorIvanov, A. & authorMischenko, D. titleDelay of laminar-turbulent transition on swept-wing with help of sweeping surface relief. Inbookti- tleAIP Conference Proceedings, vol. volume2125 (organizationAIP Pub- lishing, year2019)

  44. [52]

    & authorIvanov, A

    authorUstinov, M. & authorIvanov, A. titleCross-flow dominated transi- tion control by surface micro-relief. InbooktitleAIP Conference Proceed- ings, vol. volume2027 (organizationAIP Publishing, year2018)

  45. [53]

    & authorBushnell, D

    authorGad-el Hak, M. & authorBushnell, D. M. journaltitleSeparation control. Journal of fluids engineeringvolume113, pages5–30 (year1991). 25

  46. [54]

    & authorHackett, K

    authorAshill, P., authorFulker, J. & authorHackett, K. journaltitleA re- view of recent developments in flow control. The Aeronautical Journal volume109, pages205–232 (year2005)

  47. [55]

    authorCattafesta, L. N. & authorSheplak, M. journaltitleActuators for active flow control. Annual Review of Fluid Mechanicsvolume43, 10. 1146/annurev-fluid-122109-160634 (year2011)

  48. [56]

    journaltitleReviewofresearchonlow-profilevortexgener- ators to control boundary-layer separation.Progress in aerospace sciences volume38, pages389–420 (year2002)

    authorLin, J.C. journaltitleReviewofresearchonlow-profilevortexgener- ators to control boundary-layer separation.Progress in aerospace sciences volume38, pages389–420 (year2002)

  49. [57]

    C., authorEnloe, C

    authorCorke, T. C., authorEnloe, C. L. & authorWilkinson, S. P. journaltitleDielectric barrier discharge plasma actuators for flow con- trol. Annual Review of Fluid Mechanics volume42, 10.1146/ annurev-fluid-121108-145550 (year2010)

  50. [58]

    & authorAmitay, M

    authorGlezer, A. & authorAmitay, M. journaltitleSynthetic jets.Annual Review of Fluid Mechanicsvolume34, 10.1146/annurev.fluid.34.090501. 094913 (year2002)

    doi

  51. [59]

    & authorKim, T

    authorSeol, C., authorHong, J. & authorKim, T. journaltitleFlow around porous square cylinders with a periodic and scalable structure.Experi- mental Thermal and Fluid Sciencevolume144, 10.1016/j.expthermflusci. 2023.110864 (year2023)

    2023

  52. [60]

    & authorKim, T

    authorSeol, C., authorKim, T. & authorKim, T. journaltitleThe effect of permeability on the flow structure of porous square cylinders.Journal of Fluid Mechanicsvolume985, 10.1017/jfm.2024.311 (year2024)

    2024 doi

  53. [61]

    authorVisbal, M. R. & authorGarmann, D. J. journaltitlePassive control of dynamic stall using a flow-driven micro-cavity actuator.Theoretical and Computational Fluid Dynamicsvolume37, pages289–303 (year2023)

  54. [62]

    journaltitleModern developments in flow control

    authorGad-el Hak, M. journaltitleModern developments in flow control. Appl. Mech. Rev.volume49, pages365–379 (year1996)

  55. [63]

    authorAbbas, A. et al. journaltitleDrag reduction via turbulent bound- ary layer flow control.Science China Technological Sciencesvolume60, pages1281–1290 (year2017)

  56. [64]

    authorCorke, T. C. & authorThomas, F. O. journaltitleActive and pas- sive turbulent boundary-layer drag reduction.AIAA journal volume56, pages3835–3847 (year2018)

  57. [65]

    titleCurrent status and prospects for turbulent flow control

    authorWarsop, C. titleCurrent status and prospects for turbulent flow control. In booktitleAerodynamic Drag Reduction Technologies: Proceed- ings of the CEAS/DragNet European Drag Reduction Conference, 19– 21 June 2000, Potsdam, Germany, pages269–277 (organizationSpringer, yea...

    2000

  58. [66]

    T., authorGatti, D

    authorHehner, M. T., authorGatti, D. & authorKriegseis, J. journaltitleStokes-layer formation under absence of moving parts—a novel oscillatory plasma actuator design for turbulent drag reduction.Physics of Fluidsvolume31 (year2019)

  59. [67]

    & authorBae, J

    authorLin, C.-T., authorRamakrishnan, V., authorGoza, A., authorMat- lack, K. & authorBae, J. titleControl for turbulent drag reduction by wall-normal blowing and suction. InbooktitleAPS Division of Fluid Dy- namics Meeting Abstracts, pagesL33–002 (year2024)

  60. [68]

    & author- Pagneux, V

    authorBobinski, T., authorMaurel, A., authorPetitjeans, P. & author- Pagneux, V. journaltitleBackscattering reduction for resonating obsta- cle in water-wave channel. Journal of Fluid Mechanics volume845, 10.1017/jfm.2018.302 (year2018)

    2018 doi

  61. [69]

    & authorPagneux, V

    authorBobinski, T., authorEddi, A., authorPetitjeans, P., authorMau- rel, A. & authorPagneux, V. journaltitleExperimental demonstration of epsilon-near-zero water waves focusing. Applied Physics Lettersvol- ume107, 10.1063/1.4926362 (year2015)

    doi

  62. [70]

    S., authorSkvortsov, A., authorMacGillivray, I

    authorSharma, G. S., authorSkvortsov, A., authorMacGillivray, I. & au- thorKessissoglou, N. journaltitleOn superscattering of sound waves by a lattice of disk-shaped cavities in a soft material.Applied Physics Letters volume116, 10.1063/1.5130695 (year2020)

    doi

  63. [71]

    P., authorMaurel, A., authorPetitjeans, P

    authorBerraquero, C. P., authorMaurel, A., authorPetitjeans, P. & au- thorPagneux, V. journaltitleExperimental realization of a water-wave metamaterial shifter.Physical Review E - Statistical, Nonlinear, and Soft Matter Physicsvolume88, 10.1103/PhysRevE.88.051002 (year2013)

    doi

  64. [72]

    T., authorHo, K

    authorHu, X., authorChan, C. T., authorHo, K. M. & authorZi, J. journaltitleNegative effective gravity in water waves by periodic resonator arrays. Physical Review Lettersvolume106, 10.1103/PhysRevLett.106. 174501 (year2011)

    doi

  65. [73]

    authorHu, X., authorYang, J., authorZi, J., authorChan, C. T. & au- thorHo, K. M. journaltitleExperimental observation of negative effective gravity in water waves.Scientific Reportsvolume3, 10.1038/srep01916 (year2013)

    doi

  66. [74]

    & authorZi, J

    authorHu, X., authorShen, Y., authorLiu, X., authorFu, R. & authorZi, J. journaltitleComplete band gaps for liquid surface waves propagat- ing over a periodically drilled bottom. Physical Review E - Statisti- cal Physics, Plasmas, Fluids, and Related Interdisciplinary Topicsvo...

    doi

  67. [75]

    & authorMeylan, M

    authorKar, P., authorSahoo, T. & authorMeylan, M. H. journaltitle- Bragg scattering of long waves by an array of floating flexible plates in the presence of multiple submerged trenches.Physics of Fluids volume32, 10.1063/5.0017930 (year2020). 27

    doi

  68. [76]

    & authorChan, C

    authorHu, X. & authorChan, C. T. journaltitleRefraction of water waves by periodic cylinder arrays.Physical Review Lettersvolume95, 10.1103/ PhysRevLett.95.154501 (year2005)

  69. [77]

    G., authorPeter, M

    authorBennetts, L. G., authorPeter, M. A. & authorCraster, R. V. journaltitleGraded resonator arrays for spatial frequency separation and amplification of water waves. Journal of Fluid Mechanicsvolume854, 10.1017/jfm.2018.648 (year2018)

    2018 doi

  70. [78]

    & authorWakes, S

    authorWilks, B., authorMontiel, F. & authorWakes, S. journaltitleRain- bow reflection and broadband energy absorption of water waves by graded arrays of vertical barriers. Journal of Fluid Mechanics volume941, 10.1017/jfm.2022.302 (year2022)

    2022 doi

  71. [79]

    authorArcher, A. J.et al. journaltitleExperimental realization of broad- band control of water-wave-energy amplification in chirped arrays.Physi- cal Review Fluidsvolume5, 10.1103/PhysRevFluids.5.062801(year2020)

    doi

  72. [80]

    & authorOnorato, M

    authorDe Vita, F., authorDe Lillo, F., authorBosia, F. & authorOnorato, M. journaltitleAttenuating surface gravity waves with mechanical meta- materials. Physics of Fluidsvolume33, 10.1063/5.0048613 (year2021)

    doi

  73. [81]

    & authorOno- rato, M

    authorDe Vita, F., authorDe Lillo, F., authorVerzicco, R. & authorOno- rato, M. journaltitleA fully Eulerian solver for the simulation of mul- tiphase flows with solid bodies: Application to surface gravity waves. Journal of Computational Physicsvolume438, 10.1016/j.jcp.2021.1...

    2021

  74. [82]

    & authorWegener, M

    authorQu, J., authorKadic, M. & authorWegener, M. journaltitleThree- dimensional poroelastic metamaterials with extremely negative or positive effective static volume compressibility. Extreme Mechanics Lettersvol- ume22, pages165–171 (year2018)

  75. [83]

    journaltitleLocally resonant sonic materials.science volume289, pages1734–1736 (year2000)

    authorLiu, Z.et al. journaltitleLocally resonant sonic materials.science volume289, pages1734–1736 (year2000)

  76. [84]

    & authorSmits, A

    authorVan Buren, T., authorFloryan, D., authorDing, L., authorHell- ström, L. & authorSmits, A. journaltitleTurbulent pipe flow response to a step change in surface roughness.Journal of Fluid Mechanicsvol- ume904, pagesA38 (year2020)

  77. [85]

    & authorQiu, C.-W

    authorLiang, B., authorCheng, J.-c. & authorQiu, C.-W. journaltitle- Wavefront manipulation by acoustic metasurfaces: from physics and ap- plications. Nanophotonics volume7, pages1191–1205 (year2018)

  78. [86]

    authorCheng, Y. et al. journaltitleUltra-sparse metasurface for high re- flection of low-frequency sound based on artificial mie resonances.Nature materials volume14, pages1013–1019 (year2015). 28

  79. [87]

    Applied Physics Lettersvolume103 (year2013)

    authorFrenzel, T.et al.journaltitleThree-dimensional labyrinthine acous- tic metamaterials. Applied Physics Lettersvolume103 (year2013)

  80. [88]

    & authorIemma, U

    authorPalma, G., authorMao, H., authorBurghignoli, L., authorGörans- son, P. & authorIemma, U. journaltitleAcoustic metamaterials in aero- nautics. Applied Sciencesvolume8, pages971 (year2018)

  81. [89]

    F., authorSarradj, E

    authorGeyer, T. F., authorSarradj, E. & authorFritzsche, C. journaltitle- Porous airfoils: noise reduction and boundary layer effects.International Journal of Aeroacousticsvolume9, pages787–820 (year2010)

  82. [90]

    journaltitleExperimental characterization of the turbulent boundary layer over a porous trailing edge for noise abatement

    authorRubio Carpio, A.et al. journaltitleExperimental characterization of the turbulent boundary layer over a porous trailing edge for noise abatement. Journal of Sound and Vibrationvolume443, pages537–558 (year2019)

  83. [91]

    authorTeruna, C. et al. journaltitleNoise reduction mechanisms of an open-cell metal-foam trailing edge. Journal of Fluid Mechanics vol- ume898, pagesA18 (year2020)

  84. [92]

    & authorRagni, D

    authorTeruna, C., authorAvallone, F., authorCasalino, D. & authorRagni, D. journaltitleNumerical investigation of leading edge noise reduction on a rod-airfoil configuration using porous materials and serrations.Journal of Sound and Vibrationvolume494, pages115880 (year2021)

  85. [93]

    authorJawahar, H., authorKarabasov, S. A. & authorAzarpeyvand, M. journaltitleJet installation noise reduction using porous treatments.Jour- nal of Sound and Vibrationvolume545 (year2023)

  86. [94]

    & authorCasalino, D

    authorAvallone, F., authorRagni, D. & authorCasalino, D. journalti- tleImpingement of a propeller-slipstream on a leading edge with a flow- permeable insert: A computational aeroacoustic study. International Journal of Aeroacousticsvolume17, pages687–711 (year2018)

  87. [95]

    & au- thorRagni, D

    authorZamponi, R., authorRubio Carpio, A., authorAvallone, F. & au- thorRagni, D. journaltitleNoise source analysis of porous fairings in a scaled landing gear model. Aerospace Science and Technologyvol- ume158, pages109885 (year2025)

  88. [96]

    P., authorFigueroa-Ibrahim, K

    authorRoss, E. P., authorFigueroa-Ibrahim, K. M., authorMorris, S. C., authorL., S. D. & authorBennett, G. J. journaltitleEvaluating an additive manufactured acoustic metamaterial using the advanced noise control fan. AIAA Journalvolume62, pages2783–2799 (year2024)

  89. [97]

    journaltitleDevelopment of a generalized Darcy equation

    authorTek, M. journaltitleDevelopment of a generalized Darcy equation. Journal of Petroleum Technologyvolume9, pages45–47 (year1957)

  90. [98]

    & au- thorSnellen, M

    authorLuesutthiviboon, S., authorRagni, D., authorAvallone, F. & au- thorSnellen, M. journaltitleAn alternative permeable topology design space for trailing-edge noise attenuation.International Journal of Aeroa- coustics volume20, pages221–253 (year2021). 29

  91. [99]

    L., authorKoplik, J

    authorJohnson, D. L., authorKoplik, J. & authorDashen, R. journalti- tleTheory of dynamic permeability and tortuosity in fluid-saturated porous media. Journal of Fluid Mechanics volume176, pages379–402 (year1987)

  92. [100]

    & authorPalma, G

    authorIemma, U. & authorPalma, G. journaltitleDesign of metacontinua in the aeroacoustic spacetime.Scientific Reportsvolume10 (year2020)

  93. [101]

    & authorSybrand, V

    authorZamponi, R., authorAvallone, F., authorRagni, D., authorSchram, C. & authorSybrand, V. D. Z. journaltitleRelevance of quadrupolar sound diffraction on flow-induced noise from porous-coated cylinders.Journal of Sound and Vibrationvolume583, pages118430 (year2024)

  94. [102]

    G., authorWatson, W

    authorJones, M. G., authorWatson, W. R. & authorParrott, T. L. journaltitleBenchmark data for evaluation of aeroacoustic propagation codes with grazing flow.AIAA papervolume2853, pages2005, 10.2514/ 6.2005-2853 (year2005)

    2005

  95. [103]

    authorBonomo, L. A. et al. titleA Comparison of Impedance Eduction Test Rigs with Different Flow Profiles. https://arc.aiaa.org/doi/pdf/10. 2514/6.2023-3346

    2023

  96. [104]

    journaltitleExperimentalevidence of an instability over an impedance wall in a duct with flow

    authorAurégan, Y.&authorLeroux, M. journaltitleExperimentalevidence of an instability over an impedance wall in a duct with flow. Journal of Sound and Vibrationvolume317, pages432–439, https://doi.org/10. 1016/j.jsv.2008.04.020 (year2008)

    2008

  97. [105]

    & authorLi, X

    authorZheng, M., authorChen, C. & authorLi, X. journaltitleExperimen- tal investigation of factors influencing acoustic liner drag using direct mea- surement. Aerospace Science and Technologyvolume130, pages107903, https://doi.org/10.1016/j.ast.2022.107903 (year2022)

    2022

  98. [106]

    & authorGantié, F

    authorMinotti, A., authorSimon, F. & authorGantié, F. journaltitleChar- acterization of an acoustic liner by means of Laser Doppler Velocimetry in a subsonic flow.Aerospace Science and Technologyvolume12, pages398– 407, https://doi.org/10.1016/j.ast.2007.09.007 (year2008)

    2007 doi

  99. [107]

    & authorSun, X

    authorJing, X., authorPeng, S. & authorSun, X. journaltitleA straight- forward method for wall impedance eduction in a flow duct.The Jour- nal of the Acoustical Society of Americavolume124, 10.1121/1.2932256 (year2008)

    doi

  100. [108]

    & authorGallman, J

    authorEversman, W. & authorGallman, J. M. journaltitleImpedance eduction with an extended search procedure.AIAA journal volume49, pages1960–1970, 10.2514/1.J050831 (year2011)

    1970 doi

  101. [109]

    & authorSimon, F

    authorPrimus, J., authorPiot, E. & authorSimon, F. journaltitleAn adjoint-based method for liner impedance eduction: Validation and nu- merical investigation. Journal of Sound and Vibration volume332, pages58–75, 10.1016/j.jsv.2012.07.051 (year2013). 30

    2012 doi

  102. [110]

    authorIngard, U. journaltitleInfluence of Fluid Motion Past a Plane Boundary on Sound Reflection, Absorption, and Transmission.The Jour- nal of the Acoustical Society of America volume31, pages1035–1036, 10.1121/1.1907805 (year1959)

    doi

  103. [111]

    authorMyers, M. K. journaltitleOn the acoustic boundary condition in the presence of flow. Journal of Sound and Vibrationvolume71, 10.1016/ 0022-460X(80)90424-1 (year1980)

  104. [112]

    & authorNark, D

    authorJones, M., authorWatson, W. & authorNark, D. titleEffects of flow profile on educed acoustic liner impedance. Inbooktitle16th AIAA/CEAS Aeroacoustics Conference, pages3763, 10.2514/6.2010-3763 (year2010)

    2010 doi

  105. [113]

    authorQuintino, N. T.et al. journaltitleComparison of impedance educ- tion test rigs with different boundary-layer profiles. AIAA Journal 10.2514/1.J065173 (year2025)

    doi

  106. [114]

    & authorWatson, W

    authorBrown, M., authorJones, M. & authorWatson, W. titleUncertainty analysis of the grazing flow impedance tube. Inbooktitle18th AIAA/CEAS Aeroacoustics Conference (33rd AIAA Aeroacoustics Conference), pages1– 12, 10.2514/6.2012-2296 (publisherAmerican Institute of Aeronautic...

    2012 doi

  107. [115]

    & authorSimon, F

    authorRoncen, R., authorMéry, F., authorPiot, E. & authorSimon, F. journaltitleStatistical inference method for liner impedance eduction with asheargrazingflow. AIAA Journalvolume57, pages1055–1065, 10.2514/ 1.J057559 (year2019). https://doi.org/10.2514/1.J057559

    doi

  108. [116]

    & authorBodén, H

    authorZhou, L. & authorBodén, H. journaltitleA systematic uncertainty analysis for liner impedance eduction technology.Journal of Sound and Vibration volume356, pages86–99, https://doi.org/10.1016/j.jsv.2015. 07.001 (year2015)

    2015 doi

  109. [117]

    authorHowerton, B. M. & authorG., M. journaltitleA conventional liner acoustic drag interaction benchmark database.23rd AIAA/CEAS Aeroa- coustics Conference10.2514/6.2017-4190

    2017

  110. [118]

    & authorCorke, T

    authorJasinski, C. & authorCorke, T. journaltitleMechanism for increased viscous drag over porous sheet acoustic liners.AIAA Journalvolume58, pages3393–3404, 10.2514/1.J059039 (year2020). https://doi.org/10.2514/ 1.J059039

    doi

  111. [119]

    & authorConte, C

    authorLéon, O., authorMéry, F., authorPiot, E. & authorConte, C. journaltitleNear-wall aerodynamic response of an acoustic liner to har- monic excitation with grazing flow. Experiments in Fluid volume60, 10.1007/s00348-019-2791-5 (year2019). 31

    doi

  112. [120]

    & authorSimon, F

    authorLafont, V., authorMéry, F., authorReulet, P. & authorSimon, F. journaltitleSurfacetemperaturemeasurementofacousticlinersinpresence of grazing flow and thermal gradient.Experiments in Fluidvolume62, 10.1007/s00348-021-03184-w (year2021)

    doi

  113. [121]

    & authorWang, Y.-S

    authorZhen, N., authorHuang, R.-R., authorFan, S.-W., authorWang, Y.-F. & authorWang, Y.-S. journaltitleResonance-based acoustic venti- lated metamaterials for sound insulation.npj Acousticsvolume1, pages7 (year2025)

  114. [122]

    & authorLee, H

    authorKumar, S. & authorLee, H. P. titleThe present and future role of acoustic metamaterials for architectural and urban noise mitigations. In booktitleAcoustics, vol. volume1, pages590–607 (year2019)

  115. [123]

    authorIngard, U.titleNoise reduction analysis(publisherJones & Bartlett Publishers, year2009)

  116. [124]

    authorStewart, G. W. journaltitleThe tube as a branch of an acoustic conduct: The special case of the Quincke tube.Phys. Rev.volume27, pages494–498, 10.1103/PhysRev.27.494 (year1926)

    doi

  117. [125]

    & authorVille, J.-M

    authorPoirier, B., authorMaury, C. & authorVille, J.-M. journaltitleThe use of Herschel–Quincke tubes to improve the efficiency of lined ducts. Applied acousticsvolume72, pages78–88 (year2011)

  118. [126]

    & author- Movchan, A

    authorPapathanasiou, T., authorTsolakis, E., authorSpitas, V. & author- Movchan, A. journaltitleThe Herschel–Quincke tube with modulated branches. Philosophical Transactions of the Royal Society Avolume380, pages20220074 (year2022)

  119. [127]

    authorKo, S.-H. journaltitleSound attenuation in lined rectangular ducts with flow and its application to the reduction of aircraft engine noise.The Journal of the Acoustical Society of Americavolume50, pages1418–1432 (year1971)

  120. [128]

    authorArenas, J. P. & authorCrocker, M. J. journaltitleRecent trends in porous sound-absorbing materials. Sound & vibration volume44, pages12–18 (year2010)

  121. [129]

    & authorLi, J

    authorLiang, Z. & authorLi, J. journaltitleExtreme acoustic metamaterial by coiling up space. Physical Review Lettersvolume108, pages114301 (year2012)

  122. [130]

    & authorZhang, X

    authorGhaffarivardavagh, R., authorNikolajczyk, J., authorAnderson, S. & authorZhang, X. journaltitleUltra-open acoustic metamaterial si- lencer based on fano-like interference. Physical Review B volume99, pages024302 (year2019). 32

  123. [131]

    & au- thorLi, Y

    authorSun, M., authorFang, X., authorMao, D., authorWang, X. & au- thorLi, Y. journaltitleBroadband acoustic ventilation barriers. Physical Review Appliedvolume13, pages044028 (year2020)

  124. [132]

    & authorLin, S

    authorTang, Y., authorLiang, B. & authorLin, S. journaltitleBroadband ventilated meta-barrier based on the synergy of mode superposition and consecutive fano resonances. The Journal of the Acoustical Society of America volume152, pages2412–2418 (year2022)

  125. [133]

    & au- thorLi, Y

    authorZhu, Y., authorDong, R., authorMao, D., authorWang, X. & au- thorLi, Y. journaltitleNonlocal ventilating metasurfaces.Physical Review Applied volume19, pages014067 (year2023)

  126. [134]

    & authorYu, D

    authorLiu, C., authorXia, B. & authorYu, D. journaltitleThe spiral- labyrinthine acoustic metamaterial by coiling up space.Physics Letters A volume381, pages3112–3118 (year2017)

  127. [135]

    & au- thorWu, L

    authorXiao, Z., authorGao, P., authorWang, D., authorHe, X. & au- thorWu, L. journaltitleVentilated metamaterials for broadband sound in- sulation and tunable transmission at low frequency.Extreme Mechanics Letters volume46, pages101348 (year2021)

  128. [136]

    & authorZhang, X

    authorChen, A., authorZhao, X., authorYang, Z., authorAnderson, S. & authorZhang, X. journaltitleBroadband labyrinthine acoustic insulator. Physical Review Appliedvolume18, pages064057 (year2022)

  129. [137]

    authorLee, I., authorHan, I.&authorYoon, G. journaltitleCompactacous- tic metamaterials based on azimuthal labyrinthine channels for broad- band low-frequency soundproofing and ventilation.Applied Acousticsvol- ume228, pages110273 (year2025)

  130. [138]

    authorLiu, C. et al. journaltitleThree-dimensional soundproof acoustic metacage. Physical Review Lettersvolume127, pages084301 (year2021)

  131. [139]

    journaltitleMetahouse: noise-insulating cham- ber based on periodic structures.Advanced Materials Technologiesvol- ume8, pages2200711 (year2023)

    authorKrasikova, M.et al. journaltitleMetahouse: noise-insulating cham- ber based on periodic structures.Advanced Materials Technologiesvol- ume8, pages2200711 (year2023)

  132. [140]

    authorMeng, Y. et al. journaltitleSubwavelength broadband perfect ab- sorption for unidimensional open-duct problems. Advanced Materials Technologiesvolume8, pages2201909 (year2023)

  133. [141]

    authorYang, Z., authorChen, A., authorXie, X., authorAnderson, S. W. & authorZhang, X. journaltitlePhase gradient ultra open metamaterials for broadband acoustic silencing. Scientific Reportsvolume15, pages21434 (year2025)

  134. [142]

    & authorSheng, P

    authorYang, M., authorChen, S., authorFu, C. & authorSheng, P. journaltitleOptimal sound-absorbing structures.Materials Horizonsvol- ume4, pages673–680 (year2017). 33

  135. [143]

    & au- thorWang, L

    authorLi, X., authorZhang, H., authorTian, H., authorHuang, Y. & au- thorWang, L. journaltitleFrequency-tunable sound insulation via a re- configurable and ventilated acoustic metamaterial.Journal of Physics D: Applied Physicsvolume55, pages495108 (year2022)

  136. [144]

    authorWen, G. et al. journaltitleOrigami-based acoustic metamaterial for tunable and broadband sound attenuation.International Journal of Mechanical Sciencesvolume239, pages107872 (year2023)

  137. [145]

    O., Ye Wang & authorden Toonder, J

    authorShuaizhong Zhang, P. O., Ye Wang & authorden Toonder, J. journaltitleA concise review of microfluidic particle manipulation meth- ods. Microfluidics and Nanofluidicsvolume24, pages20, https://doi.org/ 10.1007/s10404-020-2328-5 (year2020)

    doi

  138. [146]

    Analytical Chemistry volume97, pages24, https://doi.org/10.1021/acs.analchem.4c06803 (year2025)

    authorGodary, T.et al.journaltitleAcoustofluidics: Technology Advances and Applications from 2022 to 2024. Analytical Chemistry volume97, pages24, https://doi.org/10.1021/acs.analchem.4c06803 (year2025)

    2022 doi

  139. [147]

    authorDing, X. et al. journaltitleSurface acoustic wave microfluidics. Lab on a Chip volume13, pages3626–3649, DOI:10.1039/c3lc50361e (year2016)

    doi

  140. [148]

    authorGuo, F. et al. journaltitleThree-dimensional manipula- tion of single cells using surface acoustic waves. Proc. Natl. Acad. Sci. volume113, pages1522–1527, https://doi.org/10.1073/pnas. 1524813113(2016) (year2016)

    2016 doi

  141. [149]

    authorWu, M. et al. journaltitleAcoustofluidic separation of cells and particles. Microsystems & Nanoengineering volume5, pages18, https: //doi.org/10.1038/s41378-019-0064-3 (year2019)

    doi

  142. [150]

    journaltitleAcousto-dielectric tweezers enable inde- pendent manipulation of multiple particles.Science Advancesvolume10, pages10, DOI:10.1126/sciadv.ado8992 (year2024)

    authorShen, L.et al. journaltitleAcousto-dielectric tweezers enable inde- pendent manipulation of multiple particles.Science Advancesvolume10, pages10, DOI:10.1126/sciadv.ado8992 (year2024)

    doi

  143. [151]

    journaltitleAcoustofluidics 7: The acoustic radiation force on small particles

    authorBruus, H. journaltitleAcoustofluidics 7: The acoustic radiation force on small particles. Lab on a Chip volume12, pages1014–1021, DOIhttps://doi.org/10.1039/C2LC21068A (year2013)

    doi

  144. [152]

    authorCesewski, E. et al. journaltitleAdditive manufacturing of three- dimensional (3D) microfluidic-based microelectromechanical systems (MEMS) for acoustofluidic applications. Lab on a Chip volume18, pages2087–2098, DOIhttps://doi.org/10.1039/C8LC00427G (year2018)

    doi

  145. [153]

    authorLi, F. et al. journaltitlePhononic-Crystal-Enabled Dynamic Ma- nipulation of Microparticles and Cells in an Acoustofluidic Channel. Phys. Rev. Applied volume13, pages044077, 10.1103/PhysRevApplied. 13.044077 (year2020). 34

    doi

  146. [154]

    authorHuang, L. et al. journaltitlePhononic crystal-induced standing Lamb wave for the translation of subwavelength microparticles. Appl. Phys. Lett.volume121, pages023505, https://doi.org/10.1063/5.0098468 (year2022)

    doi

  147. [155]

    authorZeighami, F. et al. journaltitleElastic metasurfaces for Scholte–Stoneley wave control. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciencesvolume382, pages20230365, https://doi.org/10.1098/rsta.2023.0365 (year2024)

    2023

  148. [156]

    authorSurappa, S. et al. journaltitleDynamically reconfigurable acoustofluidic metasurface for subwavelength particle manipulation and assembly. Nature Communications volume16, pages1–10, https://doi. org/10.1038/s41467-024-55337-0 (year2025)

    doi

  149. [157]

    W., authorvan Hecke, M

    authorKadic, M., authorMilton, G. W., authorvan Hecke, M. & author- Wegener, M. journaltitle3D metamaterials.Nature Reviews Physicsvol- ume1, pages198–210 (year2019)

  150. [158]

    Jour- nal of Physics D: Applied Physicsvolume58, pages113001 (year2025)

    authorJin, Y.et al.journaltitleThe2024phononiccrystalsroadmap. Jour- nal of Physics D: Applied Physicsvolume58, pages113001 (year2025)

  151. [159]

    & authorWegener, M

    authorChen, Y., authorFrenzel, T., authorGuenneau, S., authorKadic, M. & authorWegener, M. journaltitleMapping acoustical activity in 3D chiral mechanical metamaterials onto micropolar continuum elasticity. Jour- nal of the Mechanics and Physics of Solids volume137, pages10387...

  152. [160]

    & authorWegener, M

    authorChen, Y., authorKadic, M. & authorWegener, M. journaltitleRoton-like acoustical dispersion relations in 3D metama- terials. Nature Communicationsvolume12, pages3278 (year2021)

  153. [161]

    & authorWe- gener, M

    authorCraster, R., authorGuenneau, S., authorKadic, M. & authorWe- gener, M. journaltitleMechanical metamaterials. Reports on Progress in Physics volume86, pages094501 (year2023)

  154. [162]

    & authorWegener, M

    authorChen, Y., authorFleury, R., authorSeppecher, P., authorHu, G. & authorWegener, M. journaltitleNonlocal metamaterials and metasurfaces. Nature Reviews Physicsvolume7, pages299–312 (year2025)

  155. [163]

    journaltitleNonreciprocity in acoustic and elastic materials

    authorNassar, H.et al. journaltitleNonreciprocity in acoustic and elastic materials. Nat. Rev. Mater.volume5, pages667–685 (year2020)

  156. [164]

    authorChen, Y. et al. journaltitleHigh-frequency gravitational-wave de- tection using a chiral resonant mechanical element and a short unstable optical cavity.arXiv preprint arXiv:2007.07974(year2020)

    2007 arXiv

  157. [165]

    journaltitle- Controlling sound with acoustic metamaterials.Nature Reviews Materials volume1, pages1–13 (year2016)

    authorCummer, S.A., authorChristensen, J.&authorAlù, A. journaltitle- Controlling sound with acoustic metamaterials.Nature Reviews Materials volume1, pages1–13 (year2016). 35

  158. [166]

    journaltitleWavepropagationinone-dimensional fluid-saturated porous phononic crystals with partial-open pore interfaces

    authorZhang, S.-Y., authorYan, D.-J., authorWang, Y.-S., authorWang, Y.-F.&authorLaude, V. journaltitleWavepropagationinone-dimensional fluid-saturated porous phononic crystals with partial-open pore interfaces. International Journal of Mechanical Sciencesvolume195, pages10622...

  159. [167]

    authorFleury, R., authorKhanikaev, A. B. & authorAlù, A. journaltitle- Floquet topological insulators for sound. Nature Communications vol- ume7, pages11744, https://doi.org/10.1038/ncomms11744 (year2016)

    doi

  160. [168]

    authorHuber, S. D. journaltitleTopological mechanics. Nature Physics volume12, pages621–623, https://doi.org/10.1038/nphys3801 (year2016)

    doi

  161. [169]

    authorKhanikaev, A. B. et al. journaltitlePhotonic topological insula- tors. Nature Materials volume12, pages233–239, https://doi.org/10. 1038/nmat3520 (year2013)

  162. [171]

    & authorChan, C

    authorMa, G., authorXiao, M. & authorChan, C. T. journaltitleTopolog- ical phases in acoustic and mechanical systems.Nature Reviews Physics volume1, pages281–294, https://doi.org/10.1038/nmat3520 (year2019)

    doi

  163. [172]

    authorBerry, M. V. journaltitleQuantal phase factors accompanying adi- abatic changes. Proceedings of the Royal Society of London. A. Mathe- matical and Physical Sciencesvolume392, https://doi.org/10.1098/rspa. 1984.0023 (year1984)

    1984

  164. [173]

    journaltitleBerry’s phase for energy bands in solids.Phys

    authorZak, J. journaltitleBerry’s phase for energy bands in solids.Phys. Rev. Lett.volume62, pages2747, https://doi.org/10.1103/PhysRevLett. 62.2747 (year1989)

    doi

  165. [174]

    authorJiang, W. et al. journaltitleTopological band evolution between Lieb and kagome lattices.Phys. Rev. Bvolume99, pages125131, https: //doi.org/10.1103/PhysRevB.99.125131 (year2019)

    doi

  166. [175]

    authorMartínez, J. A. I., authorLaforge, N., authorKadic, M. & au- thorLaude, V. journaltitleTopological waves guided by a glide-reflection symmetric crystal interface. Phys. Rev. B volume106, pages0643041, DOI:10.1103/PhysRevB.106.064304 (year2022)

    doi

  167. [176]

    authorPonti, J. M. D. et al. journaltitleLocalized topological states beyond Fano resonances via counter-propagating wave mode conversion in piezoelectric microelectromechanical devices. Na- ture Communications volume15, pages9617, https://doi.org/10.1038/ s41467-024-53925-8 (...

  168. [177]

    & authorZhang, B

    authorXue, H., authorYang, Y., authorGao, F., authorChong, Y. & authorZhang, B. journaltitleAcoustic higher-order topological insula- tor on a kagome lattice. Nature Materials volume18, pages108–112, https://doi.org/10.1038/s41563-018-0251-x (year2019)

    doi

  169. [178]

    & authorKhanikaev, A

    authorNi, X., authorWeiner, M., authorAlù, A. & authorKhanikaev, A. B. journaltitleObservation of higher-order topological acoustic states pro- tected by generalized chiral symmetry. Nature Materials volume18, pages113–120, https://doi.org/10.1038/s41563-018-0252-9 (year2019)

    doi

  170. [179]

    authorLuo, L. et al. journaltitleObservation of a phononic higher-order Weyl semimetal.Nature Materialsvolume20, pages794–799, https://doi. org/10.1038/s41563-021-00985-6 (year2021)

    doi

  171. [180]

    authorMa, Q. et al. journaltitleObservation of Higher-Order Nodal- Line Semimetal in Phononic Crystals. Physical Review Letters vol- ume132, pages066601, https://doi.org/10.1103/PhysRevLett.132.066601 (year2024)

    doi

  172. [181]

    authorYang, Z. et al. journaltitleTopological acoustics. Physical review letters volume114, pages114301 (year2015)

  173. [182]

    & authorLiu, Z

    authorLu, J., authorQiu, C., authorKe, M. & authorLiu, Z. journaltitle- Valleyvortexstatesinsoniccrystals. Physical Review Lettersvolume116, pages093901 (year2016)

  174. [183]

    authorLu, J. et al. journaltitleObservation of topological valley trans- port of sound in sonic crystals.Nature Physicsvolume13, pages369–374 (year2017)

  175. [184]

    & authorChristensen, J

    authorZhang, X., authorXiao, M., authorCheng, Y., authorLu, M.-H. & authorChristensen, J. journaltitleTopological sound. Communications Physics volume1, pages97 (year2018)

  176. [185]

    authorLaforge, N. et al. journaltitleObservation of topological gravity- capillary waves in a water wave crystal. New Journal of Physics vol- ume21, pages083031 (year2019)

  177. [186]

    authorMakwana, M. P. et al. journaltitleExperimental observations of topologicallyguidedwaterwaveswithinnon-hexagonalstructures. Applied Physics Lettersvolume116 (year2020)

  178. [187]

    authorLaforge, N.et al.journaltitleAcoustictopologicalcircuitryinsquare and rectangular phononic crystals.Physical Review Appliedvolume15, pages054056 (year2021)

  179. [188]

    authorWu, X. et al. journaltitleTopological phononics arising from flu- idsolid interactions. Nature Communications volume13, pages6120, https://doi.org/10.1038/s41563-025-02169-y (year2022). 37

    doi

  180. [189]

    journaltitleTopological acoustofluidics

    authorZhao, S.et al. journaltitleTopological acoustofluidics. Nature Ma- terials volume24, pages707–715 (year2025)

  181. [190]

    authorEringen, A. C. & authorWegner, J. journaltitleNonlocal continuum field theories. Appl. Mech. Rev.volume56, pagesB20–B22 (year2003)

  182. [191]

    authorLandau, L. D. et al. titleElectrodynamics of continuous media , vol. volume8 (publisherelsevier, year2013)

  183. [192]

    authorKrushynska, A. A. & authorMeleshko, V. V. journaltitleNormal waves in elastic bars of rectangular cross section. The Journal of the Acoustical Society of Americavolume129, pages1324–1335 (year2011)

  184. [193]

    journaltitleAnomalous frozen evanescent phonons

    authorChen, Y.et al. journaltitleAnomalous frozen evanescent phonons. Nature Communicationsvolume15, pages8882 (year2024)

  185. [194]

    A., authorChen, Y., authorWang, K

    authorIglesias Martínez, J. A., authorChen, Y., authorWang, K. & au- thorWegener, M. journaltitleNonlocal conduction in a metawire.Advanced Materials volume37, pages2415278 (year2025)

  186. [195]

    authorIglesias Martínez, J. A. et al. journaltitleExperimental observa- tion of roton-like dispersion relations in metamaterials.Science advances volume7, pageseabm2189 (year2021)

  187. [196]

    & authorWegener, M

    authorWang, K., authorChen, Y., authorKadic, M., authorWang, C. & authorWegener, M. journaltitleNonlocal interaction engineering of 2D roton-like dispersion relations in acoustic and mechanical metamaterials. Communications Materialsvolume3, pages35 (year2022)

  188. [197]

    authorKazemi, A. et al. journaltitleDrawing dispersion curves: band structure customization via nonlocal phononic crystals.Physical Review Letters volume131, pages176101 (year2023)

  189. [198]

    L., authorSieck, C

    authorFleury, R., authorSounas, D. L., authorSieck, C. F., authorHaber- man, M. R. & authorAlù, A. journaltitleSound isolation and giant linear nonreciprocity in a compact acoustic circulator. Science volume343, pages516–519 (year2014)

  190. [199]

    M., authorWallen, S

    authorGoldsberry, B. M., authorWallen, S. P. & authorHaberman, M. R. journaltitleNonreciprocity and mode conversion in a spatiotemporally modulated elastic wave circulator. Physical Review Appliedvolume17, pages034050, 10.1103/PhysRevApplied.17.034050 (year2022)

    doi

  191. [200]

    authorGaliffi, E. et al. journaltitlePhotonics of time-varying media.Ad- vanced Photonicsvolume4, pages014002–014002 (year2022)

  192. [201]

    & authorMarzani, A

    authorPalermo, A., authorCelli, P., authorYousefzadeh, B., authorDaraio, C. & authorMarzani, A. journaltitleSurface wave non-reciprocity via time-modulated metamaterials. J. Mech. Phys. Solids volume145, pages104181 (year2020). 38

  193. [202]

    & authorBatsale, J.-C

    authorTorrent, D., authorPoncelet, O. & authorBatsale, J.-C. journalti- tleNonreciprocal thermal material by spatiotemporal modulation.Phys- ical Review Letters volume120, pages125501, 10.1103/physrevlett.120. 125501 (year2018)

    doi

  194. [203]

    & authorHaberman, M

    authorKang, J. & authorHaberman, M. R. journaltitleSound diffusion with spatiotemporally modulated acoustic metasurfaces.Applied Physics Letters volume121, 10.1063/5.0097590 (year2022)

    doi

  195. [204]

    M., authorNorris, A

    authorGoldsberry, B. M., authorNorris, A. N., authorWallen, S. P. & au- thorHaberman, M. R. journaltitleGreen’s function approach to model vibrations of beams with spatio-temporally modulated properties. Pro- ceedings of the Royal Society A: Mathematical, Physical and Engineer...

    2024

  196. [205]

    & authorWu, Y

    authorFarhat, M., authorGuenneau, S., authorChen, P.-Y. & authorWu, Y. journaltitleSpacetime modulation in floating thin elastic plates.Phys. Rev. Bvolume104, pages014308 (year2021)

  197. [206]

    & au- thorPagneux, V

    authorKoukouraki, M., authorPetitjeans, P., authorMaurel, A. & au- thorPagneux, V. journaltitleFloquet scattering of shallow water waves by a vertically oscillating plate. Wave Motion 10.2139/ssrn.5055878 (year2024)

    doi

  198. [207]

    & authorOliner, A

    authorCassedy, E. & authorOliner, A. journaltitleDispersion relations in time-space periodic media: Part i—Stable interactions.Proceedings of the IEEE volume51, pages1342–1359, 10.1109/proc.1963.2566 (year1963)

    1963

  199. [208]

    authorTessier Brothelande, S. et al. journaltitleExperimental evi- dence of nonreciprocal propagation in space-time modulated piezoelec- tric phononic crystals. Applied Physics Lettersvolume123, 10.1063/5. 0169265 (year2023)

    doi

  200. [209]

    authorHarwood, A. C. et al. journaltitleSpace-time optical diffraction from synthetic motion.Arxiv (year2024). 2407.10809

    arXiv

  201. [210]

    & authorHuang, G

    authorNassar, H., authorXu, X., authorNorris, A. & authorHuang, G. journaltitleModulated phononic crystals: Non-reciprocal wave propaga- tion and Willis materials.Journal of the Mechanics and Physics of Solids volume101, pages10–29, 10.1016/j.jmps.2017.01.010 (year2017)

    2017 doi

  202. [211]

    & author- Pendry, J

    authorHuidobro, P., authorSilveirinha, M., authorGaliffi, E. & author- Pendry, J. journaltitleHomogenization theory of space-time metama- terials. Physical Review Applied volume16, pages014044, 10.1103/ physrevapplied.16.014044 (year2021)

  203. [212]

    C., au- thorGuenneau, S

    authorTouboul, M., authorLombard, B., authorAssier, R. C., au- thorGuenneau, S. & authorCraster, R. V. journaltitleHigh-order homoge- nization of the time-modulated wave equation: Non-reciprocity for a sin- gle varying parameter.Proceedings of the Royal Society A: Mathematical...

    2023

  204. [213]

    authorZhu, X. et al. journaltitleTunable unidirectional compact acous- tic amplifier via space-time modulated membranes. Physical Review B volume102, pages024309, 10.1103/physrevb.102.024309 (year2020)

    doi

  205. [214]

    authorTirole, R. et al. journaltitleSecond harmonic generation at a time-varying interface. Nature Communications volume15, 10.1038/ s41467-024-51588-z (year2024)

  206. [215]

    & authorRiva, E

    authorSantini, J., authorPu, X., authorPalermo, A., authorBraghin, F. & authorRiva, E. journaltitleControlling surface acoustic waves (SAWs) via temporally graded metasurfaces. Journal of Sound and Vibra- tion volume592, pages118632, https://doi.org/10.1016/j.jsv.2024.118632 (...

    2024

  207. [216]

    authorAmmari, H., authorCao, J., authorHiltunen, E. O. & authorRueff, L. journaltitleScattering from time-modulated subwavelength resonators. Proceedings of the Royal Society A: Mathematical, Physical and Engineer- ing Sciencesvolume480, 10.1098/rspa.2024.0177 (year2024)

    2024

  208. [217]

    & authorEleftheriades, G

    authorTaravati, S. & authorEleftheriades, G. V. journaltitleMicrowave space-time-modulated metasurfaces.ACS Photonicsvolume9, pages305– 318 (year2022)

  209. [218]

    S., authorJoslin, R

    authorCollis, S. S., authorJoslin, R. D., authorSeifert, A. & authorThe- ofilis, V. journaltitleIssues in active flow control: Theory, control, sim- ulation, and experiment. Progress in Aerospace Sciences volume40, pages237–289, https://doi.org/10.1016/j.paerosci.2004.06.001 (...

    2004 doi

  210. [219]

    authorBrunton, S. L. & authorNoack, B. R. journaltitleClosed-loop turbulence control: Progress and challenges. Applied Mechanics Reviews volume67, pages050801, 10.1115/1.4031175 (year2015). https://asmedigitalcollection.asme.org/appliedmechanicsreviews/ article-pdf/67/5/050801...

    doi

  211. [220]

    titleAcoustic propagation in fluids: an unexpected ex- ample of Lorentzian geometry (year1993)

    authorVisser, M. titleAcoustic propagation in fluids: an unexpected ex- ample of Lorentzian geometry (year1993). gr-qc/9311028

    arXiv

  212. [221]

    & authorIemma, U

    authorColombo, G., authorPalma, G. & authorIemma, U. journaltitleNu- merical aeroacoustic assessment of a metacontinuum device impinged by a laser-generated sound source. Journal of Engineering volume2024, pages1–11 (year2024)

  213. [222]

    Metamaterials in Fluid Flows, Aeroacoustics, and beyond

    authorColombo, G. & authorIemma, U. journaltitleAssessment of the performances and limitations of spacetime convective corrections for acoustic metacontinua design. Scientific Reports volume15, pages1–12 (year2025). 40 Acknowledgements We acknowledge Euromech659 "Metamaterials...

    2025

Pith tools

Reviewed August 5, 2026 · model on record in the stance chip above.