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Paper Citation Record · LEDGER

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows

As of 22 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2605.26358.

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pith.paper-citation-record.v1
2605.26358 v2

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measured 50 of 50 reference resolution

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50 of 50 outbound references displayed

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Outbound references

Observation 0c5e4ddb-9b75-495d-b77b-e27b6190f05f · outbound

This paper cites A probabilistic, data-driven closure model for RANS simulations with aleatoric, model uncertainty.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows A probabilistic, data-driven closure model for RANS simulations with aleatoric, model uncertainty

Reference 1

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Observation a9094bc7-1bb0-4eab-83c3-39fb5f44c421 · outbound

This paper cites Albring, Max Sagebaum, and Nicolas R.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Albring, Max Sagebaum, and Nicolas R

Reference 2

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Observation 00bb5db6-22b3-4da9-8908-096a5317a483 · outbound

This paper cites Breuer, N.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Breuer, N

Reference 3

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Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Unresolved cited work

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Observation 8a2f890e-f768-4373-942c-eb7c1752d466 · outbound

This paper cites MacArt, and Justin Sirignano.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows MacArt, and Justin Sirignano

Reference 5

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Observation 55c71787-bd4e-4389-823c-20e367e0a254 · outbound

This paper cites Turbulence modeling in the age of data.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Turbulence modeling in the age of data

Reference 6

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Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Unresolved cited work

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Observation 0f833474-e4e0-426b-afc4-7a5cd7d43a16 · outbound

This paper cites Ferziger and Milovan Peri \'c.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Ferziger and Milovan Peri \'c

Reference 8

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Observation e09c4b61-e2c6-4ad2-91e1-818b07fa5eb2 · outbound

This paper cites A posteriori learning for quasi-geostrophic turbulence parametrization.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows A posteriori learning for quasi-geostrophic turbulence parametrization

Reference 9

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Observation a9d3a146-f38e-47c4-84ad-b603d6229f41 · outbound

This paper cites An introduction to the adjoint approach to design.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows An introduction to the adjoint approach to design

Reference 10

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Observation 6bd6adb2-dbc2-488c-ae67-1c05eab78218 · outbound

This paper cites Learning to control PDE s with differentiable physics.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Learning to control PDE s with differentiable physics

Reference 11

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Observation 0fcea280-0234-4d89-a1f4-09de08806533 · outbound

This paper cites Holland, James D.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Holland, James D

Reference 12

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Observation 5e3ed5be-9862-4f9f-b24f-e611e8bf36a7 · outbound

This paper cites Aerodynamic design via control theory.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Aerodynamic design via control theory

Reference 13

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This paper cites Stiff-PINN : Physics-informed neural network for stiff chemical kinetics.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Stiff-PINN : Physics-informed neural network for stiff chemical kinetics

Reference 14

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This paper cites Neural network-augmented eddy viscosity closures for turbulent premixed jet flames.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Neural network-augmented eddy viscosity closures for turbulent premixed jet flames

Reference 15

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This paper cites Adam: A method for stochastic optimization.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Adam: A method for stochastic optimization

Reference 16

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Observation c7e70abf-e5d5-4976-95dd-dd06ccffc395 · outbound

This paper cites Machine learning--accelerated computational fluid dynamics.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Machine learning--accelerated computational fluid dynamics

Reference 17

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This paper cites Krishnapriyan, Amir Gholami, Shandian Zhe, Robert Kirby, and Michael W.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Krishnapriyan, Amir Gholami, Shandian Zhe, Robert Kirby, and Michael W

Reference 18

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Observation 8ca89488-e0df-4633-8180-a80b6ca096dd · outbound

This paper cites Hermann Lienhart and Stefan Becker.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Hermann Lienhart and Stefan Becker

Reference 19

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This paper cites Fourier neural operator for parametric partial differential equations.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Fourier neural operator for parametric partial differential equations

Reference 20

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Observation 551911d2-7b20-4ce0-8243-518882749eef · outbound

This paper cites Reynolds averaged turbulence modelling using deep neural networks with embedded invariance.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Reynolds averaged turbulence modelling using deep neural networks with embedded invariance

Reference 21

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This paper cites Learned turbulence modelling with differentiable fluid solvers: physics-based loss functions and optimisation horizons.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Learned turbulence modelling with differentiable fluid solvers: physics-based loss functions and optimisation horizons

Reference 22

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This paper cites Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

Reference 23

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This paper cites Warp: A python framework for high-performance GPU simulation and graphics, 2022.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Warp: A python framework for high-performance GPU simulation and graphics, 2022

Reference 24

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Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Unresolved cited work

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Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Unresolved cited work

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This paper cites Automating turbulence modelling by multi-agent reinforcement learning.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Automating turbulence modelling by multi-agent reinforcement learning

Reference 27

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correction dated 2021-01-07. Source: crossref record 10.1038/s42256-021-00293-3->10.1038/s42256-020-00272-0:correction, observed 2026-07-11T03:04:26.881369+00:00. This notice travels one citation hop only.

correction dated 2021-01-15. Source: crossref record 10.1038/s42256-021-00295-1->10.1038/s42256-020-00272-0:correction, observed 2026-07-11T03:02:06.745515+00:00. This notice travels one citation hop only.

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This paper cites A paradigm for data-driven predictive modeling using field inversion and machine learning.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows A paradigm for data-driven predictive modeling using field inversion and machine learning

Reference 28

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Observation d569d51b-b8f8-4c89-977f-2d2cb1d113ff · outbound

This paper cites Turbulence and secondary motions in square duct flow.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Turbulence and secondary motions in square duct flow

Reference 29

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Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Unresolved cited work

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This paper cites Pope.Turbulent Flows.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Pope.Turbulent Flows

Reference 31

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This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 32

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This paper cites Global convergence of adjoint-optimized neural pdes.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Global convergence of adjoint-optimized neural pdes

Reference 33

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Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Unresolved cited work

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Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Unresolved cited work

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This paper cites Iterative Methods for Sparse Linear Systems.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Iterative Methods for Sparse Linear Systems

Reference 36

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This paper cites Sanderse, P.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Sanderse, P

Reference 37

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doi, observed 2026-06-29T20:13:58.688366Z

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This paper cites Dwight, and Paola Cinnella.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Dwight, and Paola Cinnella

Reference 38

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This paper cites Differentiable Turbulence: Closure as a partial differential equation constrained optimization.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Differentiable Turbulence: Closure as a partial differential equation constrained optimization

Reference 39

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This paper cites DPM : A deep learning pde augmentation method with application to large-eddy simulation.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows DPM : A deep learning pde augmentation method with application to large-eddy simulation

Reference 40

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This paper cites MacArt, and Konstantinos Spiliopoulos.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows MacArt, and Konstantinos Spiliopoulos

Reference 41

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This paper cites Michel \'e n Str \"o fer and Heng Xiao.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Michel \'e n Str \"o fer and Heng Xiao

Reference 42

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This paper cites Solver-in-the-loop: Learning from differentiable physics to interact with iterative PDE -solvers.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Solver-in-the-loop: Learning from differentiable physics to interact with iterative PDE -solvers

Reference 43

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Observation d2490be9-0ece-413f-bc7d-60be23316c80 · outbound

This paper cites Vinuesa, P.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Vinuesa, P

Reference 44

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This paper cites An explicit algebraic Reynolds stress model for incompressible and compressible turbulent flows.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows An explicit algebraic Reynolds stress model for incompressible and compressible turbulent flows

Reference 45

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This paper cites When and why PINNs fail to train: A neural tangent kernel perspective.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows When and why PINNs fail to train: A neural tangent kernel perspective

Reference 46

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Observation 8d9c14f9-d915-4f67-8769-a497d4824047 · outbound

This paper cites Weatheritt and R.D.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Weatheritt and R.D

Reference 47

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Observation e5751872-2f7b-4ec0-bd5d-a2d7fe850614 · outbound

This paper cites Reassessment of the scale-determining equation for advanced turbulence models.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Reassessment of the scale-determining equation for advanced turbulence models

Reference 48

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Observation bf5508a4-4324-4db1-976d-56ab3bef681b · outbound

This paper cites Journal of Fluid Mechanics 869, 553–586.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Journal of Fluid Mechanics 869, 553–586

Reference 49

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Observation 4c563128-4866-4ee4-a67b-1709efe7b611 · outbound

This paper cites Flows over periodic hills of parameterized geometries: A dataset for data-driven turbulence modeling from direct simulations.

Deep Learning-based Algebraic Reynolds Stress Closures for RANS Simulations of Turbulent Flows Flows over periodic hills of parameterized geometries: A dataset for data-driven turbulence modeling from direct simulations

Reference 50

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