Fluid Dynamics
Turbulence, instabilities, incompressible/compressible flows, reacting flows. Aero/hydrodynamics, fluid-structure interactions, acoustics. Biological fluid dynamics, micro/nanofluidics, interfacial phenomena. Complex fluids, suspensions and granular flows, porous media flows. Geophysical flows, thermoconvective and stratified flows. Mathematical and computational methods for fluid dynamics, fluid flow models, experimental techniques.
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Tensorial flux relaxation and corrected stabilizer enable stable simulation of rotated tensors with contrasts up to 10,000:1.
· “Entropic lattice Boltzmann method for general anisotropic advection--diffusion”
By transporting flows in wavelet space rather than learned latents, the method keeps fine-scale structure without extra autoencoder training
Telecentric optics and iterative solvers extend precise elevation measurements to high-slope and high-amplitude waves
Calibrated low-fidelity Darcy model lets topology search find turbulent two-fluid exchangers with better heat transfer and controlled drag
Two-dimensional turbulent simulations cut diffusion rates by an order of magnitude versus synthetic flows and narrow the gap to three-D理论.
· “Frequency spreading of internal wave energy by balanced flows in two dimensions”
LESnets embeds large-eddy equations and wall law into a Fourier model to predict channel flows without any training data.
Trained on two separated flows, the expression reduces bubble overprediction and generalizes to periodic hills, cubes, and airfoils.
Rotation and patterned-exit tests link the streaks directly to exit geometry rather than independent flow instabilities.
Unsteady planar flow and coaxial cylinder simulations show each number controls a different aspect of the elastic-viscous competition.
An analytical bound set by bulk free ions matches multi-propellant thruster data near minimum flow
· “Physics of the droplet-to-ion transition in electrosprays of highly conducting liquids”
Depth-recursive mechanism cuts non-physical artifacts and beats baselines in four convective and drag regimes.
Parallel slits let one sheet produce different force combinations in the same wind by switching 3D shapes.
· “Reconfigurable kirigami mesostructure enables modulation of lift and drag”
Pressure-Poisson objective plus strict equality constraints let a randomly initialized network reproduce periodic shedding in unsteady high-
Global linear stability on the time-averaged flow predicts neutrality for a mode that actually grows.
· “Lyapunov stability analysis of the chaotic flow past two square cylinders”
Tetrahedral in shear, octahedral in stresslet, icosahedral in quadratic flow: complete census.
· “The Stokes resistance of an arbitrary particle: a classification of hydrodynamic symmetries”
Synthetic Lagrangian trajectories match DNS for strong non-reciprocity; the weak-coupling case remains imperfect.
· “How well can Diffusion Models learn Lagrangian-Tracer Statistics in Non-reciprocal Turbulence?”
Voigt-regularised turbulence shows an energy bump built from two equilibrium ranges, not pure dissipation.
· “Dynamical slowdown, bottlenecks, and multiscaling in Voigt-regularised turbulence”
On a hydrogen jet in cross-flow, each surrogate's accuracy depends on whether the target is a number or a field.
Open-source fluid–contact solver runs 103,823 cubes: shape sets microstructure.
A selective state-space model compensates the Koopman residual, stabilizing long rollouts at low training cost.
· “A Compensated Koopman Neural Operator with Selective State-Space Dynamics for Unsteady Flows”
Exact Fock-space rewrite of LFH kinetic equation yields its Navier–Stokes–Fourier terms without Hermite expansions.
· “Fock-Space Representation of the Lebowitz--Frisch--Helfand Kinetic Model”
The framework recovers the classic ring-speed formula with axial flow and solves for the deformed vorticity surfaces.
· “Vortex filament dynamics and vortex ring motion revisited”
Texture alone reaches the 83.9° limit on copper and titanium, no hydrophilic coating needed.
· “Reaching the thermodynamic limit of wicking on textured surfaces”
Same input power gives four times more acoustic energy in the channel and tighter particle bands, simulations and PIV show.
· “Increased throughput in antisymmetrically actuated acoustofluidic flow-through devices”
Averages over acceleration-conditioned Gaussian pieces match measured curvature PDFs in two laboratory flows.
· “Lagrangian Curvature Statistics from Gaussian Subensembles in Turbulent Flows”
Incompressible solvers take 25-32x larger steps when cheap substeps supply accurate fluxes; speedups reach 8.6x.
Even without inertia, deformation creates a sideways lift — and the drift reverses versus rigid spheres.
· “Dynamics of an internally actuated elastic particle in a plane Poiseuille flow”
Odd viscous fluids and their oscillator analogues are shown to be PT-symmetric, and the resulting exceptional point and Rabi sidebands give…
· “mathscr{PT}-symmetric hydrodynamics of odd viscous liquids and their oscillator counterparts”
Horizontal shaking changes settling-pair contact and orientation once oscillatory inertia beats viscosity.
· “Drafting-Kissing-Tumbling Dynamics of Two Particles Subjected to Horizontal Oscillations”
Pore-resolving simulations show travelling waves in low-Reynolds laminar flow can break the usual heat-versus-drag trade-off.
Small particles stay at the centre, large ones ring the mid-annulus; band separation grows with diffusivity contrast.
· “Fractionation of polydisperse particles in a receding floating film”
A new two-point identity links the Coriolis force to pressure and explains zonal jets.
· “Two-Dimensional β-plane Turbulence: Dual Cascade and Zonal Jets”
A half-space spectral solver builds the universal sublayer flow that experiments and DNS can test directly.
The worst mode is l=12; models that ignore conduction overestimate pressure and underestimate volume.
· “On the degradation of hot spot performance due to mid-to-high-mode hydrodynamic instabilities”
Front speed grows as the square root of the reduced Rayleigh number; roll spacing shifts from linear to quarter-power.
· “Propagating fronts of convection rolls in Rayleigh-B\'enard convection”
A reciprocal-theorem formula shows enclosed activity moves a drop only through its lowest multipoles.
· “Translation of a spherical viscous drop driven by localized forcing in Stokes flow”
Six vortex codewords hold 2.585 bits per cell; basin geometry, not eigenvalues, sets their write fidelity.
· “Attractor-Basin-Limited Fidelity in Reproducible Multistate Vortex Memory”
A new variational principle makes helicity play the role for vorticity that pressure plays for velocity.
A single timescale collapses data across viscosity, surface tension, and plate gap, pointing to a universal confined regime.
A 80-mm prototype matches its computed shape to 2.75 mm; an orbit experiment follows in 2027.
Trapped in shrinking pores, the swimmers push harder and stiffen the droplet network; dead algae do nothing.
· “Active Reinforcement of Jammed Emulsions by Living Microswimmers”
Sub-0.1° tilts show centimeter-per-second flow changes drive deep-sea mixing without dense-water formation.
· “Short spatial mooring-tilt variations from deep Mediterranean observations”
A single-streamtube model and two geometric criteria rank cyclorotor aerofoils in minutes, not weeks.
· “A Low-Fidelity Method for Aerofoil Shape Optimisation for Curvilinear Blade Kinematics”
Same forecasting protocol on four wave experiments shows frequency-selective turbulence instability.
· “Data-Driven Characterisation of Wave-Forced Turbulence Using Time-Resolved Forecast-Error Growth”
Layout and rotor size act as a 3D filter on turbulence, setting the size and timing of power swings.
· “Wind farms as sensor arrays of turbulent boundary layer spatio-temporal flow structure”
A cheap turbine model matches actuator-line power and thrust spectra below blade-passing frequency.
One champion soliton per direction emerges from random waves and reaches about three times the significant wave height.
· “Dissipation-driven champion solitons in one-dimensional shallow-water waves”
That pairing recovers Strouhal 0.300 with 98.8 percent wake correlation; extra tricks collapse it.
A third viscous layer creates a rupture route absent from one- and two-interface tube films.
· “Stability and nonlinear dynamics of three-layer viscous films inside a vertical cylindrical tube”
Particle-resolved simulations fit shape- and orientation-aware coefficients over Reynolds numbers 0.1 to 300.
Experiments and theory show the time-minimal track has cycloidal ends, and energy minima take the opposite shape.
· “Hydrodynamic Brachistochrone: Conflicting Paths of Time and Energy Minima within Viscous Media”
Boundary conditions are unknown, so the conservation equations do the work; full-field errors stay near 1 to 4 percent.
· “Physics-informed neural network for inverse modeling of granular flows”
The flow grid hugs the body while a separate acoustic grid reaches the far field, cutting cost and preserving radiation patterns.
Three reduced-order models for shear-thinning flows are compared; the DEIM version stays accurate while cutting online cost to milliseconds
· “Intrusive versus non-intrusive reduced-order modeling of generalized Newtonian fluid flows”
Training an LSTM to correct a Wagner-function baseline lowers error and generalizes across motion families.
· “A Residual Learning Approach for Unsteady Aerodynamic Load Prediction”
A mode-by-mode split of shear pressure shows when density variations matter and when they cancel out.
· “Hydrodynamic Mode Coupling: Effects of density variations in nanoscale channel flows”
A convolutional net replays turbulent flow fields across porosities 0.45-0.91, a million times faster than LES.
· “Turbulent Microscale Flow Field Prediction In Porous Media Using Convolutional Neural Networks”
Replacing the GLM mean map by its L2-closest volume-preserving factor keeps mean vortices intact and filters waves more cleanly.
· “Volume-preserving Lagrangian averaging using polar factorization”
Divergence-form regularization preserves entropy and kinetic energy without numerical damping.
· “A diffuse-interface method for compressible two-phase flows with seven- and six-equation models”
Once fully rough, pressure fluctuations grow at the smooth-wall rate; roughness only shifts the baseline.
· “A source-term interpretation of turbulent rough wall-pressure spectra”
A finite lag between turbulence production and dissipation explains the bursts, DNS and a delay model show.
A dense Thiovulum suspension self-organizes into layered vortices for hours, an easy-to-image model of active matter.
· “Pattern Formation in Bioconvection of Thiovulum in a Hele-Shaw Chamber”
A rotating single hot-wire maps the near-wall steering—and shows recovery lags far downstream.
One-sided species closures and a two-sided heat-flux jump give second-order fluxes and small conservation errors.
The added term acts at the melt–solid–gas triple line and lands the final splat diameter near the measured value.
· “An improved phase-field framework for simulating impacts of solidifying metal drops”
Just two or three deformation modes produce phase locking, tori, and resonance—readable in swimming statistics.
· “Complex nonlinear dynamics of area-preserving, active vesicles”
Holding two halves of a fluid at opposite speeds gives ν = g_total w²/12u_p and a 1/√N route to the hydrodynamic limit.
Elastic-to-sweep time ratio collapses deflection, ejected mass, and ejection speed onto one transition curve.
A single run yields continuous velocity and concentration curves that match classic hindered-settling laws.
In two-dimensional no-slip fixed-flux convection, giant rolls persist only when the forcing is low and Pr is high.
· “Domain-filling rolls in two-dimensional fixed-flux Rayleigh-B\'enard convection”
Refined potential flow theory yields fast qualitative wake, vortex-shedding, and shock predictions across Mach numbers.
Across Mach 2 to 12, shock serrations drop and pitot error falls to 0.7 percent at Mach 5.
A reduced thermochemical model reproduces sharp catalytic-wall gradients within 1% error and stays stable in closed-loop.
· “Data-driven modeling of hypersonic flows in chemical non-equilibrium with catalytic surfaces”
Shell-model numerics and proofs find one long-time decay rate for any positive diffusivity; κ sets only the prefactor.
· “Long-time behavior of optimal mixing in an advection-diffusion shell model”
A new Lagrange-dual proof cuts the quadratic cooling ceiling by one logarithmic factor, for all Péclet numbers.
· “Optimizing bounds for energy-constrained optimal cooling problems in two dimensions”
Coupling-aware Vanka smoothing keeps multigrid fast and grid-independent for stiff membrane, beam, and fiber problems.
Wake merger links local elastic wakes to array-scale bending; shear-thinning blocks it, with implications for cilia.
Hierarchical forecast–analysis steps recover unresolved small-scale energy that single-pass generative models miss.
· “Iterative Refinement Diffusion for Super-Resolved Data Assimilation of Multiscale Physical Systems”
Cross-frequency coupling boosts steady streak gain to ~10^4, about 30 times the direct route.
A minimal Galerkin model with zero-mean forcing recovers the corner vortices seen in turbulent duct simulations.
