Paper Citation Record · LEDGER

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics

As of 6 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2604.23874.

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pith.paper-citation-record.v1
2604.23874 v3

Coverage vector

measured 37 of 37 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-01T08:46:12.973332Z

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One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

37 of 37 outbound references displayed

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External citation measurements

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Outbound references

Observation 0e076cc6-b360-4dbd-a8a1-aaafe2e9ffbf · outbound

This paper cites an unresolved cited work.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-06T12:42:26.519107Z

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Observation dbe345de-9f1b-4f7b-9dec-4a5d26c82b85 · outbound

This paper cites Deep neural networks for data-driven les closure models.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Deep neural networks for data-driven les closure models

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.568291Z

Source-reported events for the cited work

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Observation 9d706901-e0d1-4540-b299-a28c26c38294 · outbound

This paper cites Continuous data assimilation with stochastically noisy data.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Continuous data assimilation with stochastically noisy data

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.571184Z

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Observation b517162a-70a1-4126-bda0-a8250423c98e · outbound

This paper cites Bezgin, Aaron B.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Bezgin, Aaron B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.564518Z

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Observation 25eb8b93-4a13-48bf-bfcd-be21251f4db0 · outbound

This paper cites Bezgin, Aaron B.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Bezgin, Aaron B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.564874Z

Source-reported events for the cited work

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Observation e46b2eb6-be08-4fdf-bd4c-1aaf051697c3 · outbound

This paper cites Continuous data assimilation for the 3d ladyzhenskaya model: analysis and computations.Nonlinear Analysis: Real World Applications, 68:103659.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Continuous data assimilation for the 3d ladyzhenskaya model: analysis and computations.Nonlinear Analysis: Real World Applications, 68:103659

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.569046Z

Source-reported events for the cited work

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Observation f868b487-e649-46ef-ba16-2a0bb1d3361f · outbound

This paper cites A note on the error analysis of data-driven closure models for large eddy simulations of turbulence.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics A note on the error analysis of data-driven closure models for large eddy simulations of turbulence

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-01T08:55:34.995556Z

Source-reported events for the cited work

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Observation ed925634-a6a1-4ab7-a83a-88ca5b2cfd8d · outbound

This paper cites Binned spectral power loss for improved prediction of chaotic systems.Journal of Computational Physics, page 114866.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Binned spectral power loss for improved prediction of chaotic systems.Journal of Computational Physics, page 114866

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.523859Z

Source-reported events for the cited work

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Observation 0ec6217f-3cad-4245-8c38-0fe1d5ce43da · outbound

This paper cites Synchronization to big data: Nudging the navier- stokes equations for data assimilation of turbulent flows.Physical Review X, 10(1):011023.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Synchronization to big data: Nudging the navier- stokes equations for data assimilation of turbulent flows.Physical Review X, 10(1):011023

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.518917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation fbac97f0-a14f-4901-8406-4908dd75331b · outbound

This paper cites Perspectives on machine learning-augmented reynolds-averaged and large eddy simulation models of turbulence.Phys.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Perspectives on machine learning-augmented reynolds-averaged and large eddy simulation models of turbulence.Phys

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.549777Z

Source-reported events for the cited work

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Observation 76018087-33b7-427f-b696-497f3e900370 · outbound

This paper cites Turbulence modeling in the age of data.Annual Review of Fluid Mechanics, 51(1):357–377, January 2019.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Turbulence modeling in the age of data.Annual Review of Fluid Mechanics, 51(1):357–377, January 2019

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.555738Z

Source-reported events for the cited work

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Observation 417baff0-9972-466d-a9fc-810e9b2b7b1b · outbound

This paper cites Continuous data assimilation closure for modeling statistically steady turbulence in large-eddy simulation.Physical Review Fluids, 10(1):013801.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Continuous data assimilation closure for modeling statistically steady turbulence in large-eddy simulation.Physical Review Fluids, 10(1):013801

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.551709Z

Source-reported events for the cited work

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Observation f64d032b-74d4-4951-a14c-2a5073631838 · outbound

This paper cites A dynamic subgrid-scale eddy viscosity model.Physics of fluids a: Fluid dynamics, 3(7):1760–1765.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics A dynamic subgrid-scale eddy viscosity model.Physics of fluids a: Fluid dynamics, 3(7):1760–1765

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.545405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation da900ccf-69f9-405b-9ea8-1ec86e461053 · outbound

This paper cites Stable a posteriori les of 2d turbulence using convolutional neural networks: Backscattering analysis and generalization to higher re via transfer learning.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Stable a posteriori les of 2d turbulence using convolutional neural networks: Backscattering analysis and generalization to higher re via transfer learning

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.547819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation fee58172-a1b4-4677-91b2-631015e79466 · outbound

This paper cites Learning physics-constrained subgrid-scale closures in the small-data regime for stable and accurate les.Physica D: Nonlinear Phenomena, 443:133568, January 2023.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Learning physics-constrained subgrid-scale closures in the small-data regime for stable and accurate les.Physica D: Nonlinear Phenomena, 443:133568, January 2023

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.539338Z

Source-reported events for the cited work

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Observation 6a01fd9c-a66c-4ffb-b001-4426cf02bf8e · outbound

This paper cites Learning closed- form equations for subgrid-scale closures from high-fidelity data: Promises and challenges.Journal of Advances in Modeling Earth Systems, 16(7).

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Learning closed- form equations for subgrid-scale closures from high-fidelity data: Promises and challenges.Journal of Advances in Modeling Earth Systems, 16(7)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.553878Z

Source-reported events for the cited work

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Observation 3a19ddce-2a06-4ed6-acdd-84b54f0d9793 · outbound

This paper cites Generalizable data-driven turbulence closure modeling on unstructured grids with differentiable physics.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Generalizable data-driven turbulence closure modeling on unstructured grids with differentiable physics

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.560280Z

Source-reported events for the cited work

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Observation 6468ab61-0689-44dc-9ea5-a3b2b8e09e57 · outbound

This paper cites Smith, Ayya Alieva, Qing Wang, Michael P.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Smith, Ayya Alieva, Qing Wang, Michael P

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.575293Z

Source-reported events for the cited work

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Observation 03d3eba0-9019-4710-afd7-e0eee621fbb6 · outbound

This paper cites Data Assimilation in Large Eddy Simulation: Addressing Model-Observation Mismatch from Navier-Stokes Data.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Data Assimilation in Large Eddy Simulation: Addressing Model-Observation Mismatch from Navier-Stokes Data

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-01T08:55:34.992938Z

Source-reported events for the cited work

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Observation 214d1e4b-797e-4079-b550-d393649b03d9 · outbound

This paper cites an unresolved cited work.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-07-06T12:42:26.550058Z

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Observation cea0f92f-a003-4263-b038-714cb618badb · outbound

This paper cites Learned turbulence modelling with differentiable fluid solvers: physics-based loss functions and optimisation horizons.Journal of Fluid Mechanics, 949:A25.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Learned turbulence modelling with differentiable fluid solvers: physics-based loss functions and optimisation horizons.Journal of Fluid Mechanics, 949:A25

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.554062Z

Source-reported events for the cited work

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Observation 60e4736e-e432-4847-8868-9a87b1ca9f48 · outbound

This paper cites Swin transformer: Hierarchical vision transformer using shifted windows.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Swin transformer: Hierarchical vision transformer using shifted windows

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.536889Z

Source-reported events for the cited work

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Observation da9ff86b-5274-4a19-ba24-6c3de8f430cf · outbound

This paper cites Decoupled weight decay regularization.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Decoupled weight decay regularization

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.503647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 03300658-dbce-40cc-bd7e-9883fe8fbe83 · outbound

This paper cites Data-driven deconvolution for large eddy simulations of kraichnan turbulence.Physics of Fluids, 30(12).

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Data-driven deconvolution for large eddy simulations of kraichnan turbulence.Physics of Fluids, 30(12)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.557852Z

Source-reported events for the cited work

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Observation e631bb0e-49cc-41b5-8bee-cfecd553a7e0 · outbound

This paper cites Subgrid modelling for two-dimensional turbulence using neural networks.Journal of Fluid Mechanics, 858:122–144.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Subgrid modelling for two-dimensional turbulence using neural networks.Journal of Fluid Mechanics, 858:122–144

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.530957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d55397ed-2dc4-4fa7-bf0a-e85a0f093850 · outbound

This paper cites Scale-invariance and turbulence models for large-eddy simulation.Annual Review of Fluid Mechanics, 32(1):1–32.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Scale-invariance and turbulence models for large-eddy simulation.Annual Review of Fluid Mechanics, 32(1):1–32

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.533062Z

Source-reported events for the cited work

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Observation 39e349ce-dc2f-4f06-8700-59ac18251f63 · outbound

This paper cites What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics What You See is Not What You Get: Neural Partial Differential Equations and The Illusion of Learning

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-07-01T08:55:34.990325Z

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Observation fd9f66b7-2f4e-4d3c-ba7a-6bb7d50481b9 · outbound

This paper cites Film: Visual reasoning with a general conditioning layer.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Film: Visual reasoning with a general conditioning layer

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.535103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9c52984b-b45c-4563-a70b-8fe7cd03cdaf · outbound

This paper cites Cabot, Parviz Moin, and Sangsan Lee.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Cabot, Parviz Moin, and Sangsan Lee

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.541362Z

Source-reported events for the cited work

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Observation 33176d1c-eae9-41dd-860b-2f6989d1a4c0 · outbound

This paper cites an unresolved cited work.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-07-06T12:42:26.551920Z

Source-reported events for the cited work

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Observation 5155721b-bf5d-45c8-9ce0-c84a43fb07e7 · outbound

This paper cites Differentiable tur- bulence: Closure as a partial differential equation constrained optimization.Physical Review Fluids, 10(2):024605.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Differentiable tur- bulence: Closure as a partial differential equation constrained optimization.Physical Review Fluids, 10(2):024605

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.573367Z

Source-reported events for the cited work

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Observation e3ae2485-c554-486c-b361-b67330e12ab9 · outbound

This paper cites Differentiable physics-enabled closure modeling for burgers’ turbulence.Machine Learning: Science and Technology, 4(1):015017.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Differentiable physics-enabled closure modeling for burgers’ turbulence.Machine Learning: Science and Technology, 4(1):015017

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.509835Z

Source-reported events for the cited work

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Observation 4d245e68-5682-44ae-8de0-1dd295c98418 · outbound

This paper cites an unresolved cited work.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-07-06T12:42:26.558040Z

Source-reported events for the cited work

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Observation fbd89bb0-790b-4b6c-92c0-3ce6233fcf1c · outbound

This paper cites General circulation experiments with the primitive equations: I.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics General circulation experiments with the primitive equations: I

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.521043Z

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Observation 90881815-7d54-4e3d-80d4-2159f5e4e81a · outbound

This paper cites Explaining the physics of transfer learning in data-driven turbulence modeling.PNAS Nexus, 2(3), January 2023.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Explaining the physics of transfer learning in data-driven turbulence modeling.PNAS Nexus, 2(3), January 2023

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.555992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 62a2e4ea-5f2c-4498-a06c-a981fa7eee78 · outbound

This paper cites Solver-in-the-loop: Learning from differentiable physics to interact with iterative pde-solvers.Advances in neural information processing systems, 33:6111–6122.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Solver-in-the-loop: Learning from differentiable physics to interact with iterative pde-solvers.Advances in neural information processing systems, 33:6111–6122

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.514696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 4d1b9819-92f8-4447-8da1-3da732f67998 · outbound

This paper cites Ensemble data assimilation-based mixed subgrid-scale model for large-eddy simulations.Physics of Fluids, 35(8), 2023.

Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics Ensemble data assimilation-based mixed subgrid-scale model for large-eddy simulations.Physics of Fluids, 35(8), 2023

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T12:42:26.516943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

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