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Paper Citation Record · LEDGER

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries

As of 20 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2501.01453.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.01453 v2

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

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measured 52 of 52 standing notices

One-hop event checks from named stored sources.

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:04:12.300621Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T13:04:16.954819Z

Reference resolution

51 of 51 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 089a3803-07cd-45b8-8198-e6bd661d7615 · outbound

This paper cites Computational fluid dynamics of whole-body aircraft.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Computational fluid dynamics of whole-body aircraft

Reference 1

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Observation c786e62f-edf2-483d-91a1-8e1ab6f3259c · outbound

This paper cites Immersed boundary methods.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Immersed boundary methods

Reference 2

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Observation c0516b3f-52e5-41c9-86e8-5ef6d70737e9 · outbound

This paper cites Review of research on vehicles aerodynamic drag reduction methods.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Review of research on vehicles aerodynamic drag reduction methods

Reference 3

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Observation 28e8f254-3037-4262-856b-a6e7ef571493 · outbound

This paper cites A computational approach to modeling cellular-scale blood flow in complex geometry.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries A computational approach to modeling cellular-scale blood flow in complex geometry

Reference 4

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Observation c5d49a6d-9d9d-4cd2-bee6-a05cac6d6cf2 · outbound

This paper cites Patient-specific modeling of geometry and blood flow in large arteries.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Patient-specific modeling of geometry and blood flow in large arteries

Reference 5

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Observation a3f8623f-2ab2-44de-8ad6-9c4e2364aff0 · outbound

This paper cites Other geometries in architecture: bubbles, knots and minimal surfaces.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Other geometries in architecture: bubbles, knots and minimal surfaces

Reference 6

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Observation d4a7b249-6fdd-499d-bba7-cc63990cd452 · outbound

This paper cites Deep learning for reduced order modelling and efficient temporal evolution of fluid simulations.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Deep learning for reduced order modelling and efficient temporal evolution of fluid simulations

Reference 7

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Observation bd6e49df-009e-4dcf-ba25-fd890606ab4f · outbound

This paper cites Recent advances and applications of deep learning methods in materials science.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Recent advances and applications of deep learning methods in materials science

Reference 8

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Observation 77fec346-691f-45de-bbf9-0c43c9ac8645 · outbound

This paper cites Robust data-driven turbulence modeling for rans closures using a sciml approach for validation.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Robust data-driven turbulence modeling for rans closures using a sciml approach for validation

Reference 9

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Observation 9d4a6c5d-23a7-47ba-99b9-70769af5410b · outbound

This paper cites Mycrunchgpt: A llm assisted framework for scientific machine learning.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Mycrunchgpt: A llm assisted framework for scientific machine learning

Reference 10

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Observation 3b8ea28f-dca8-4711-9fda-dd6eba795dc8 · outbound

This paper cites The emergence and impact of scientific machine learning in geophysical exploration.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries The emergence and impact of scientific machine learning in geophysical exploration

Reference 11

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Observation b2ac9167-1a8d-41b1-a789-f100e85f7695 · outbound

This paper cites Scientific Machine Learning for Modeling and Discovery of Physical Systems with Quantified Uncertainty.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Scientific Machine Learning for Modeling and Discovery of Physical Systems with Quantified Uncertainty

Reference 12

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Observation b9d258a2-4148-4982-911e-447a7d8cdb51 · outbound

This paper cites Integrating scientific machine learning and physics-based models for quantification of uncertainty in thermal properties of silica aerogel.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Integrating scientific machine learning and physics-based models for quantification of uncertainty in thermal properties of silica aerogel

Reference 13

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Observation 9f47ecd5-a3df-47ce-8976-3201c0e01736 · outbound

This paper cites Uncertainty quantifica- tion in scientific machine learning: Methods, metrics, and comparisons.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Uncertainty quantifica- tion in scientific machine learning: Methods, metrics, and comparisons

Reference 14

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Observation 6c7cf86d-71b3-4a84-9895-4d3907eab336 · outbound

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Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Unresolved cited work

Reference 15

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Observation ea436208-b28c-41c2-86a1-d425f974c287 · outbound

This paper cites CFDBench: A large-scale benchmark for machine learning methods in fluid dynamics, 2024.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries CFDBench: A large-scale benchmark for machine learning methods in fluid dynamics, 2024

Reference 16

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Observation 699fb30a-4dfe-4be2-948b-007b0cee2de5 · outbound

This paper cites MegaFlow2D: A parametric dataset for machine learning super-resolution in computational fluid dynamics simulations.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries MegaFlow2D: A parametric dataset for machine learning super-resolution in computational fluid dynamics simulations

Reference 17

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Observation f02d0733-66cd-43a1-94e5-633d221fccf2 · outbound

This paper cites Rapid prediction of two-dimensional airflow in an operating room using scientific machine learning.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Rapid prediction of two-dimensional airflow in an operating room using scientific machine learning

Reference 18

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Observation 4c8d1640-cc0b-4d59-8bb4-908e2203fc2f · outbound

This paper cites FlowBench: A Large Scale Benchmark for Flow Simulation over Complex Geometries.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries FlowBench: A Large Scale Benchmark for Flow Simulation over Complex Geometries

Reference 19

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Observation 04ac990d-9c36-4d68-8cd8-b3481e99986e · outbound

This paper cites Effective geometric algorithms for im- mersed boundary method using signed distance field.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Effective geometric algorithms for im- mersed boundary method using signed distance field

Reference 21

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Observation 57dffb1f-ad3a-413c-83b9-0ef9fb6e1805 · outbound

This paper cites Signed distance field enhanced fully resolved cfd-dem for simulation of granular flows involving multiphase fluids and irregularly shaped particles.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Signed distance field enhanced fully resolved cfd-dem for simulation of granular flows involving multiphase fluids and irregularly shaped particles

Reference 22

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This paper cites Unit operation and process modeling with physics-informed machine learning.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Unit operation and process modeling with physics-informed machine learning

Reference 23

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Observation 48b81069-432a-48bf-898f-641248c405a4 · outbound

This paper cites Data-driven modeling of hypersonic reentry flow with heat and mass transfer.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Data-driven modeling of hypersonic reentry flow with heat and mass transfer

Reference 24

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Observation d3e9ed35-cfc2-468a-8436-db8fcd8a7d4d · outbound

This paper cites Computational challenges of viscous incompressible flows.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Computational challenges of viscous incompressible flows

Reference 25

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This paper cites Review of machine learning for hydrodynamics, transport, and reactions in multiphase flows and reactors.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Review of machine learning for hydrodynamics, transport, and reactions in multiphase flows and reactors

Reference 26

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Observation f07a8f5e-89dd-4c18-acf3-08e1c04a16f5 · outbound

This paper cites Towards foundation models for scientific machine learning: Characterizing scaling and transfer behavior.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Towards foundation models for scientific machine learning: Characterizing scaling and transfer behavior

Reference 27

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Observation ee9213da-42d0-49e5-99e3-0b5c067eaa8f · outbound

This paper cites Interpretable models for extrapolation in scientific machine learning.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Interpretable models for extrapolation in scientific machine learning

Reference 28

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Observation b5c4de67-2a06-4bde-8b5d-bc74c172fbe6 · outbound

This paper cites Learning stiff chemical kinetics using extended deep neural operators.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Learning stiff chemical kinetics using extended deep neural operators

Reference 29

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Observation 3ed64e0c-c3c9-429a-9ea2-94b7ed9447e7 · outbound

This paper cites Normalizing flows for probabilistic modeling and inference.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Normalizing flows for probabilistic modeling and inference

Reference 30

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Observation be6be0a4-aaca-4374-8c5c-969fdd40e0c7 · outbound

This paper cites A transdisciplinary review of deep learning research and its relevance for water resources scientists.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries A transdisciplinary review of deep learning research and its relevance for water resources scientists

Reference 31

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Observation 5e55cbe9-bee2-4489-b066-07bc827c6d43 · outbound

This paper cites Modeling and simulations of high-density two-phase flows using projection-based Cahn-Hilliard Navier-Stokes equations.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Modeling and simulations of high-density two-phase flows using projection-based Cahn-Hilliard Navier-Stokes equations

Reference 32

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 75e8f721-3a8c-4027-8ca7-75f7e67baca2 · outbound

This paper cites Neural pde solvers for irregular domains.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Neural pde solvers for irregular domains

Reference 33

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Source-reported events for the cited work

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Observation b21efde0-fc86-4a3c-a757-5a8ac44092de · outbound

This paper cites Neufenet: Neural finite element solutions with theoretical bounds for parametric pdes.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Neufenet: Neural finite element solutions with theoretical bounds for parametric pdes

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 6370d514-4115-49d4-90d5-a7a500e24830 · outbound

This paper cites The shifted boundary method for embedded domain computations.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries The shifted boundary method for embedded domain computations

Reference 35

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Observation bab40019-4343-4e83-a48c-1d452ef59beb · outbound

This paper cites Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes

Reference 36

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Observation f5479d69-172f-4446-bfe4-e1340dd15095 · outbound

This paper cites The NURBS book.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries The NURBS book

Reference 37

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Observation 74cc250e-8545-4ed0-b4be-d8c94e8ae272 · outbound

This paper cites A simple method for particle shape generation with spher- ical harmonics.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries A simple method for particle shape generation with spher- ical harmonics

Reference 38

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verified fuzzy
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Observation 6d59599e-2aec-4087-8bbf-5ea89e050eb6 · outbound

This paper cites Skelneton 2019: Dataset and challenge on deep learning for geometric shape understanding.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Skelneton 2019: Dataset and challenge on deep learning for geometric shape understanding

Reference 39

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Observation 2d90c9b9-59d2-4c22-b47f-ca1a95141336 · outbound

This paper cites Pyramid u-network for skeleton extraction from shape points.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Pyramid u-network for skeleton extraction from shape points

Reference 40

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Observation 65e146bf-d129-4890-9449-c1dc762d0114 · outbound

This paper cites Internal flows.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Internal flows

Reference 41

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Observation a4c0a939-84b9-4e64-aa58-78ab2fe1af5e · outbound

This paper cites Laminar, transitional, and turbulent flows in rotor-stator cavi- ties.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Laminar, transitional, and turbulent flows in rotor-stator cavi- ties

Reference 42

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Observation 8b562b82-78f0-49ad-a5d5-cafa25724e30 · outbound

This paper cites Poseidon: Efficient foundation models for pdes, 2024.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Poseidon: Efficient foundation models for pdes, 2024

Reference 43

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Observation e6b4b613-f5ef-46f7-bbae-b0855909a90c · outbound

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

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Swin transformer: Hierarchical vision transformer using shifted windows

Reference 44

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Observation d1446b60-30b7-4cc9-bb6c-cda591836578 · outbound

This paper cites Swin Transformer V2: Scaling Up Capacity and Resolution.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Swin Transformer V2: Scaling Up Capacity and Resolution

Reference 45

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Observation ec86c907-b158-4732-a2f0-d70052d5dea1 · outbound

This paper cites A ConvNet for the 2020s.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries A ConvNet for the 2020s

Reference 46

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Observation e47aac08-cf2c-4006-939d-8b68380867cc · outbound

This paper cites Fourier neural operator for parametric partial differential equations, 2021.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Fourier neural operator for parametric partial differential equations, 2021

Reference 47

Resolution
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Observation 5c584e4c-9edc-4b72-a373-3b74d0157fbc · outbound

This paper cites Convolutional neural operators for robust and accurate learning of pdes, 2023.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Convolutional neural operators for robust and accurate learning of pdes, 2023

Reference 48

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Observation 700ed6c9-827f-4b23-a942-d7c83241e2c5 · outbound

This paper cites Wavelet neural operator for solving parametric partial differential equations in computational mechanics problems.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Wavelet neural operator for solving parametric partial differential equations in computational mechanics problems

Reference 49

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Observation 3f9e8d12-bc33-4ee9-bfdf-dadd296c8a20 · outbound

This paper cites Learning nonlinear oper- ators via deeponet based on the universal approximation theorem of operators.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Learning nonlinear oper- ators via deeponet based on the universal approximation theorem of operators

Reference 50

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Observation bae3c00e-7ed9-4e4b-afc3-542bd10d5446 · outbound

This paper cites Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems

Reference 51

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Observation b9c6276f-e55d-4154-a7f0-c47e8fb322f1 · outbound

This paper cites Geom-deeponet: A point-cloud-based deep operator network for field predictions on 3d parameterized geometries.

Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries Geom-deeponet: A point-cloud-based deep operator network for field predictions on 3d parameterized geometries

Reference 52

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source=pdf_text observed=2026-08-10T23:01:24.485534Z digest=sha256:e2b99c01c21e6daf705039f541fec017c941ce3c713e2df3b0e8d5ce6caea81e

Pith citing papers

Observation d14acd18-c3bd-4a5d-8d48-07de74cc3b01 · inbound

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor cites this paper.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries

Reference 7

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