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Paper Citation Record · LEDGER

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification

As of 10 August 2026, this Paper Citation Record lists 68 of 68 outbound references and 0 inbound Pith citation observations for arXiv:2509.03833.

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pith.paper-citation-record.v1
2509.03833 v1

Coverage vector

measured 68 of 68 reference resolution

Typed states for the displayed outbound observations.

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measured 68 of 68 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

68 of 68 outbound references displayed

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External citation measurements

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Outbound references

Observation 168eb965-bf50-42f7-ae43-e05e7038955d · outbound

This paper cites Direct numerical simulation: a tool in turbulence research.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Direct numerical simulation: a tool in turbulence research

Reference 1

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Observation 3a398ae6-1ac9-46a1-a641-d473f8b0938c · outbound

This paper cites Direct numerical simulation of turbulent channel flow up to reτ= 590.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Direct numerical simulation of turbulent channel flow up to reτ= 590

Reference 2

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Observation 3d4cd47f-8641-4f6d-b823-6eaf345cc770 · outbound

This paper cites Direct numerical simulation of turbulent channel flow up to.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Direct numerical simulation of turbulent channel flow up to

Reference 3

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Observation 48efce51-df89-4a7b-b962-e154a9972203 · outbound

This paper cites New trends in large-eddy simulations of turbulence.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification New trends in large-eddy simulations of turbulence

Reference 4

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Observation 8cf6580f-8673-4aa2-b7b0-07e13153696a · outbound

This paper cites Large-eddy simulations of turbulence.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Large-eddy simulations of turbulence

Reference 5

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Observation f8fbe1b3-342a-4c68-a85e-7d289218fc7e · outbound

This paper cites Analytical methods for the development of reynolds-stress closures in turbulence.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Analytical methods for the development of reynolds-stress closures in turbulence

Reference 6

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Observation 020a05f4-eee1-4c9b-b178-03797764a43f · outbound

This paper cites Progress in the development of a reynolds-stress turbulence closure.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Progress in the development of a reynolds-stress turbulence closure

Reference 7

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Observation cfc31063-56bf-4845-a862-f8564ea0bba5 · outbound

This paper cites Toward approximating non-local dynamics in single-point pressure–strain correlation closures.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Toward approximating non-local dynamics in single-point pressure–strain correlation closures

Reference 8

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Observation 7d64a590-770f-4a0c-8884-7783851f8421 · outbound

This paper cites Modelling of rapid pressure—strain in reynolds-stress closures.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Modelling of rapid pressure—strain in reynolds-stress closures

Reference 9

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Observation 40228ebf-56fb-4c40-af99-244923da2c32 · outbound

This paper cites Modelling the pressure–strain correlation of turbulence: an invariant dynamical systems approach.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Modelling the pressure–strain correlation of turbulence: an invariant dynamical systems approach

Reference 10

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Observation 5c8b5364-20dc-435e-ba38-bb38ec316dbb · outbound

This paper cites Development and application of a cubic eddy-viscosity model of turbulence.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Development and application of a cubic eddy-viscosity model of turbulence

Reference 11

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Observation 88d8d28d-227a-4af1-b0eb-d3c9a5bb97ad · outbound

This paper cites Linear and nonlinear eddy viscosity models.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Linear and nonlinear eddy viscosity models

Reference 12

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Observation dc6f660b-5275-4b9c-95b9-60585be1554e · outbound

This paper cites A new k- ϵ eddy viscosity model for high reynolds number turbulent flows.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification A new k- ϵ eddy viscosity model for high reynolds number turbulent flows

Reference 13

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Observation b3de0558-e1ce-4528-9254-b1f88ecfacf6 · outbound

This paper cites Eddy viscosity in two and three dimensions.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Eddy viscosity in two and three dimensions

Reference 14

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Observation 3d17fe3b-4bd9-482e-ad79-48a09f7f642f · outbound

This paper cites The numerical computation of turbulent flows.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification The numerical computation of turbulent flows

Reference 15

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Observation 1834b38a-abd6-42b3-9a06-773a82e5483a · outbound

This paper cites Formulation of the kw turbulence model revisited.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Formulation of the kw turbulence model revisited

Reference 16

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Observation 7303d301-1761-4a2e-b934-c3fd8d04ce62 · outbound

This paper cites Uncertainty quantification: theory, implementation, and applications, volume 12.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Uncertainty quantification: theory, implementation, and applications, volume 12

Reference 17

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Observation bb837427-8b16-44fa-8e97-27678cd0f45e · outbound

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

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Turbulence modeling in the age of data.Annual Review of Fluid Mechanics, 51:357–377, 2019

Reference 18

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Observation fdffde5f-4f56-445b-aa9e-2f4ef229ba5c · outbound

This paper cites Status, emerging ideas and future directions of turbulence modeling research in aeronautics.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Status, emerging ideas and future directions of turbulence modeling research in aeronautics

Reference 19

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Observation 65579762-4fb3-4c26-bac1-3988308f8a22 · outbound

This paper cites Bayesian uncertainty quantification applied to rans turbulence models.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Bayesian uncertainty quantification applied to rans turbulence models

Reference 20

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Observation f6a11202-f0a6-48bf-ab8d-c44ebfd364d8 · outbound

This paper cites Sensitivity of flow evolution on turbulence structure.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Sensitivity of flow evolution on turbulence structure

Reference 21

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Observation 2676ccc3-edfd-4395-bf53-77653fc936a6 · outbound

This paper cites Scalable environment for quantification of uncertainty and optimization in industrial applications (sequoia).

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Scalable environment for quantification of uncertainty and optimization in industrial applications (sequoia)

Reference 22

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Observation fe9bd0d9-987d-4867-896a-ba021bc694d6 · outbound

This paper cites Approach for uncertainty of turbulence modeling based on data assimilation technique.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Approach for uncertainty of turbulence modeling based on data assimilation technique

Reference 23

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Observation a90b052b-9b5f-4e9c-8a06-f91c60c424a0 · outbound

This paper cites Quantification of structural uncertainties in the k-w turbulence model.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Quantification of structural uncertainties in the k-w turbulence model

Reference 24

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Observation 24b0109e-65c1-40ad-a5ef-bb1c1ae21700 · outbound

This paper cites Modeling imprecision and uncertainty in preliminary engineer- ing design.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Modeling imprecision and uncertainty in preliminary engineer- ing design

Reference 25

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Source-reported events for the cited work

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Observation 97e799d9-e7e3-4fed-a681-b623035b141a · outbound

This paper cites Methodology for managing the effect of uncertainty in simulation-based design.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Methodology for managing the effect of uncertainty in simulation-based design

Reference 26

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Observation d03d5fa5-4cea-42e9-be92-c9ad117b6d4e · outbound

This paper cites Robust multiattribute decision making under risk and uncer- tainty in engineering design.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Robust multiattribute decision making under risk and uncer- tainty in engineering design

Reference 27

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Source-reported events for the cited work

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Observation 68dbb2c4-3e33-4140-96e6-8612005e6afa · outbound

This paper cites Comparative analysis of uncertainty propagation methods for robust engineering design.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Comparative analysis of uncertainty propagation methods for robust engineering design

Reference 28

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Source-reported events for the cited work

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Observation bbe4cb35-6505-4120-9409-57f90ce782e6 · outbound

This paper cites Impact of uncertainty quan- tification on design: an engine optimisation case study.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Impact of uncertainty quan- tification on design: an engine optimisation case study

Reference 29

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Source-reported events for the cited work

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Observation e23967ac-1cf0-4c79-8739-74c95ac2a2cd · outbound

This paper cites Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles

Reference 30

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Source-reported events for the cited work

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Observation eeb43a88-c45d-4daf-8c8c-03c2abe7089e · outbound

This paper cites Aerospace applications of optimization under uncer- tainty.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Aerospace applications of optimization under uncer- tainty

Reference 31

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Source-reported events for the cited work

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Observation d42665d1-6859-448c-baba-2fa3ca4f1b85 · outbound

This paper cites Eigenspace perturbations for uncer- tainty estimation of single-point turbulence closures.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Eigenspace perturbations for uncer- tainty estimation of single-point turbulence closures

Reference 32

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Source-reported events for the cited work

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Observation 4318a5b5-a504-47cd-9673-1943ba59759d · outbound

This paper cites Uncertainty estimation module for turbulence model predictions in su2.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Uncertainty estimation module for turbulence model predictions in su2

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 42212779-8c2c-40dc-b3d9-6f5f4b988a73 · outbound

This paper cites RANS predictions for high-speed flows using enveloping models.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification RANS predictions for high-speed flows using enveloping models

Reference 34

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verified exact
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 2f2ccf27-d4b1-45f3-bf7d-c06c75565658 · outbound

This paper cites Estimating uncertainty in homogeneous turbulence evolution due to coarse-graining.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Estimating uncertainty in homogeneous turbulence evolution due to coarse-graining

Reference 35

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:00.350882Z digest=sha256:cd895d8a984cb41ccce9aafeba3b3aa369b8854a170d6c57c6c4488bdd0313ed

Observation 6dd41a02-029b-4998-be68-d7556e21e278 · outbound

This paper cites Uncertainty estimation for reynolds-averaged navier– stokes predictions of high-speed aircraft nozzle jets.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Uncertainty estimation for reynolds-averaged navier– stokes predictions of high-speed aircraft nozzle jets

Reference 36

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verified fuzzy
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:00.411615Z digest=sha256:dd95f79530088dd5a04a18e29c3bac5b1110a6b99eb031c48d4fee2560a8be90

Observation 9559e0db-c0fa-4389-9990-d55a88988131 · outbound

This paper cites Eigenvector perturbation methodology for uncertainty quantification of turbulence models.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Eigenvector perturbation methodology for uncertainty quantification of turbulence models

Reference 37

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:00.494779Z digest=sha256:c4baf1c0be3c4fd9ab4fd8b2f7bffba7ff8c9895d8ac38d26da3cb744fc21255

Observation 05b0b2e9-c882-4855-9241-623348b5c929 · outbound

This paper cites Robust shape optimization under model uncertainty of an aircraft wing using proper orthogonal decomposition and inductive design exploration method.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Robust shape optimization under model uncertainty of an aircraft wing using proper orthogonal decomposition and inductive design exploration method

Reference 38

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:00.554476Z digest=sha256:162788d6f5095a5603290b1ae154e20bbf2e39c6ea33b62b9955336b4235fad9

Observation e96d4d9b-0172-44a5-a42c-26317e6ac4a1 · outbound

This paper cites Optimization under turbulence model uncertainty for aerospace design.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Optimization under turbulence model uncertainty for aerospace design

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:42:03.262733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:00.633130Z digest=sha256:bc7af6ac9a080bb3318d98b84baec66687a904a476f44a19a981c595948d0775

Observation 5b8bdca4-60be-4009-be93-356819f12707 · outbound

This paper cites Design exploration and optimization under uncertainty.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Design exploration and optimization under uncertainty

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:42:03.248342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:00.737629Z digest=sha256:157e18d3604fc685a588df91083a1bac9f183d9eb86278eae1309071893aa51f

Observation d4d10665-65d8-4cc5-ae3e-eabfd63b6cdf · outbound

This paper cites Uncertainties quantification in the prediction of the aeroelastic response of the pazy wing tunnel model.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Uncertainties quantification in the prediction of the aeroelastic response of the pazy wing tunnel model

Reference 41

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:00.802303Z digest=sha256:e251b59ae2548f6608756f141284d06044a73f9e0e67e2242a168c931bc1a53c

Observation 6f06c2c7-7af1-4960-8a4a-94cc5373d886 · outbound

This paper cites Adjoint design optimization under the uncertainty quantification of reynolds-averaged navier-stokes turbulence model.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Adjoint design optimization under the uncertainty quantification of reynolds-averaged navier-stokes turbulence model

Reference 42

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:00.913520Z digest=sha256:a68fad11fa5f8b9b8987fad04952ce006b207e50b0e9c44e9560bf2afede06c0

Observation 4cd7e7c5-c4f6-4a8d-9423-2e621af45d3e · outbound

This paper cites Application of uncertainty quantification of reynolds-averaged navier–stokes models in hypersonic flow.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Application of uncertainty quantification of reynolds-averaged navier–stokes models in hypersonic flow

Reference 43

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:00.936367Z digest=sha256:85695f1248c1644105e4f2db673ae10665593d42db1c1a157ad3b47eb0ee4a0d

Observation c9c3134b-729c-496a-bd0b-8bfc2600f905 · outbound

This paper cites Epistemic uncertainty quantification for reynolds-averaged navier-stokes modeling of separated flows over streamlined surfaces.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Epistemic uncertainty quantification for reynolds-averaged navier-stokes modeling of separated flows over streamlined surfaces

Reference 44

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:01.012988Z digest=sha256:03a409954a8062acc4c49c6238f8258d2fac4aead75dc84e04eac1dda7108308

Observation 8db7201c-0264-43b9-ab7b-9d4ee24020cf · outbound

This paper cites A nonuniform perturbation to quantify rans model uncertainties.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification A nonuniform perturbation to quantify rans model uncertainties

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:42:03.169864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:01.153892Z digest=sha256:46c0808b00c945551dbc7ad994aa93055d90e177adb557440b1387b2dbce3816

Observation a756a011-1a5f-4da3-b792-d118d02d5c93 · outbound

This paper cites Multi- fidelity modeling of probabilistic aerodynamic databases for use in aerospace engineering.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Multi- fidelity modeling of probabilistic aerodynamic databases for use in aerospace engineering

Reference 46

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:01.329936Z digest=sha256:70e941f69cd93ae023d41c572f3e85a013b6bba1d126ac310d0167fce6a5caf0

Observation a1417dbc-b764-45a0-81f2-ee6098447e8b · outbound

This paper cites A toolset for creation of multi-fidelity probabilistic aerodynamic databases.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification A toolset for creation of multi-fidelity probabilistic aerodynamic databases

Reference 47

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:01.483508Z digest=sha256:5db90a38ad3cc43a79a7bb55b1ee03e9de23fed3e80fb6aded5d0fdc647241d5

Observation d4f2d287-341d-4491-a65c-c70a15e56d49 · outbound

This paper cites Model-form uncertainty quantification of reynolds- averaged navier–stokes modeling of flows over a sd7003 airfoil.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Model-form uncertainty quantification of reynolds- averaged navier–stokes modeling of flows over a sd7003 airfoil

Reference 48

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:01.736134Z digest=sha256:7f9ab1a998442bea6c89ea9548334d6e1a45ffc4c87d1f9530690a7d17ed5f99

Observation 898bfb4f-471a-46db-a51e-7ec4c7ae7193 · outbound

This paper cites Machine learning for fluid mechanics.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Machine learning for fluid mechanics

Reference 49

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation bc3ffe77-d05e-48c1-a65a-6e02e81efbf4 · outbound

This paper cites Data-assisted combustion simulations with dynamic submodel assignment using random forests.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Data-assisted combustion simulations with dynamic submodel assignment using random forests

Reference 50

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 9e0d530d-2df5-42db-8222-b95a10d02c41 · outbound

This paper cites Interpretable data-driven methods for subgrid-scale closure in les for transcritical lox/gch4 combustion.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Interpretable data-driven methods for subgrid-scale closure in les for transcritical lox/gch4 combustion

Reference 51

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 24559b5b-8c9c-440b-bf20-9006da8d16b1 · outbound

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

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Perspectives on machine learning-augmented reynolds-averaged and large eddy simulation models of turbulence

Reference 52

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.417804Z digest=sha256:5fe48df52b6a3dc612e104b5e634879327c49ff3f95003d14d32013ab106f34e

Observation 416af229-9f98-42af-9829-5b944bbe9d01 · outbound

This paper cites Machine learning methods for data-driven turbulence modeling.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Machine learning methods for data-driven turbulence modeling

Reference 53

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.574823Z digest=sha256:b92be542decce808ddb2fe5826ccf48479c2513e1ac873b82419a4933c90badd

Observation 03e1032c-b3af-434f-a080-2c59638dd3b1 · outbound

This paper cites Workshop report on basic research needs for scientific machine learning: Core technologies for artificial intelligence.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Workshop report on basic research needs for scientific machine learning: Core technologies for artificial intelligence

Reference 54

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.579327Z digest=sha256:bc2b138adc7676e6df4ef4bf8c4b0f7790d42f63f50acfa0b8ffe8c806980096

Observation c81b14f8-1a46-4835-8ab7-e165daf0b493 · outbound

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

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 55

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 400e891e-6265-46d4-b6f8-9dd8bcb8ad58 · outbound

This paper cites Physics constrained unsupervised deep learning for rapid, high resolution scanning coherent diffraction reconstruction.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Physics constrained unsupervised deep learning for rapid, high resolution scanning coherent diffraction reconstruction

Reference 56

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 2de474d0-424d-4ee2-be8e-832e5f78ecb2 · outbound

This paper cites Turbulent flows, 2001.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Turbulent flows, 2001

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:42:02.990759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.723622Z digest=sha256:02aa3de933d8e8e3f02d5aad2a6e4524a53d24c155f6908cf043527dadc359f9

Observation 4580e363-54b2-48eb-92db-f05e25aa62df · outbound

This paper cites Presentation of anisotropy properties of turbulence, invariants versus eigenvalue approaches.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Presentation of anisotropy properties of turbulence, invariants versus eigenvalue approaches

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:42:02.977379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.727884Z digest=sha256:2f4be96e05259bc4fbc02af45cd449495b0ff22dc29c0830b8c7c3b549ba4498

Observation 855eadd1-fff7-48b4-a9d3-c8ab30ad5a71 · outbound

This paper cites Turbulent and Non-Turbulent Interfaces in Low Mach Number Airfoil Flows.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Turbulent and Non-Turbulent Interfaces in Low Mach Number Airfoil Flows

Reference 59

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.732607Z digest=sha256:fa30b64db189f2f9b75b9d4a0833cad5d4c99fb2244396ecdfa4898001666938

Observation a47573e9-3e3c-49a9-b70b-080532d7ab23 · outbound

This paper cites A correlation-based transition model using local variables for unstructured parallelized cfd codes.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification A correlation-based transition model using local variables for unstructured parallelized cfd codes

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:42:02.950130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.736568Z digest=sha256:d6c8afd274bd6998e2832e5fe26b12d0d36f01185e3b2f11a2452c55a15c3436

Observation 74f63270-6130-4491-b00d-4aeb1541c51f · outbound

This paper cites Correlation-based transition modeling for unstructured paral- lelized computational fluid dynamics codes.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Correlation-based transition modeling for unstructured paral- lelized computational fluid dynamics codes

Reference 61

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.740556Z digest=sha256:2956593117cdbfe37358233e94872c599bbe1ff881d8d44b4bc3382e0d570fe1

Observation 86fd7351-638f-4066-9e5c-e39e5a6b4632 · outbound

This paper cites Quantification of reynolds-averaged-navier–stokes model-form uncertainty in transitional boundary layer and airfoil flows.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Quantification of reynolds-averaged-navier–stokes model-form uncertainty in transitional boundary layer and airfoil flows

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:42:02.920164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.745052Z digest=sha256:97285af6dec074b65430f355a48420e83f4703ce2802c2b05c037241fab3b45d

Observation 4769af9f-6f33-4b4a-9a1c-2b4ea496a4c8 · outbound

This paper cites A hybrid approach combining dns and rans simulations to quantify uncertainties in turbulence modelling.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification A hybrid approach combining dns and rans simulations to quantify uncertainties in turbulence modelling

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:42:02.905866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.749228Z digest=sha256:9626d9422cac656f996cbc88fc48b8edbbff998e962e516060f9f8f13a253635

Observation c6cc7a8b-43d6-4de2-989a-a154508275cb · outbound

This paper cites Implicit large eddy simulation of low-reynolds-number transi- tional flow past the sd7003 airfoil.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Implicit large eddy simulation of low-reynolds-number transi- tional flow past the sd7003 airfoil

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:42:02.890332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.753922Z digest=sha256:d19856997ca851671dc8ffee4e98cae170aa4b597f24f8df9970728ae1927a9b

Observation 7451b0cb-925a-4e93-a24b-ecfa638e10f3 · outbound

This paper cites an unresolved cited work.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:42:02.874079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.757692Z digest=sha256:f00c56848926c63699535eac3a275ed927ea1e4a859abe88323dc61adc9431f2

Observation dffddcea-4cef-476d-9f53-68593342bcc0 · outbound

This paper cites Data driven physics constrained perturbations for turbulence model uncertainty estimation.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Data driven physics constrained perturbations for turbulence model uncertainty estimation

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:42:02.859264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.761470Z digest=sha256:e3c4fba4144e56d71c723fc42bbd558d17cb423904b0e950e0280a6409e377ab

Observation 5412ac2e-bef0-444b-b800-423a69b53eb0 · outbound

This paper cites Estimating rans model uncertainty using machine learning.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Estimating rans model uncertainty using machine learning

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:42:02.844178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.765535Z digest=sha256:048b7e7e94d6376465cbbe390f8c04bc17737a9a216604ecf32e5d6ea38713fb

Observation 7364fc0f-248a-4ca3-a42b-d01534325bfb · outbound

This paper cites Evaluation of physics constrained data- driven methods for turbulence model uncertainty quantification.

Towards Physics Constrained Deep Learning Based Turbulence Model Uncertainty Quantification Evaluation of physics constrained data- driven methods for turbulence model uncertainty quantification

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:42:02.829080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T10:42:02.769438Z digest=sha256:a7b68f6e0b48c8154f63793d31d59c54d3f9038df4bbbafeb205303bb1a78055

Pith citing papers

No inbound Pith citation observations are available.