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Combining Differentiable PDE Solvers and Graph Neural Networks for Fluid
  Flow Prediction

Combining Differentiable PDE Solvers and Graph Neural Networks for Fluid Flow Prediction

8 July 2020
Filipe de Avila Belbute-Peres
T. Economon
J. Zico Kolter
    AI4CE
ArXivPDFHTML

Papers citing "Combining Differentiable PDE Solvers and Graph Neural Networks for Fluid Flow Prediction"

50 / 123 papers shown
Title
AI-Enhanced Automatic Design of Efficient Underwater Gliders
AI-Enhanced Automatic Design of Efficient Underwater Gliders
Peter Yichen Chen
Pingchuan Ma
Niklas Hagemann
John Romanishin
Wei Wang
Daniela Rus
Wojciech Matusik
19
0
0
30 Apr 2025
Implicit Neural Differential Model for Spatiotemporal Dynamics
Implicit Neural Differential Model for Spatiotemporal Dynamics
Deepak Akhare
P. Du
Tengfei Luo
Jian-Xun Wang
PINN
AI4CE
43
0
0
03 Apr 2025
Graph ODEs and Beyond: A Comprehensive Survey on Integrating Differential Equations with Graph Neural Networks
Graph ODEs and Beyond: A Comprehensive Survey on Integrating Differential Equations with Graph Neural Networks
Z. Liu
Xiaoda Wang
Bohan Wang
Zijie Huang
Carl Yang
Wei-dong Jin
AI4TS
AI4CE
60
0
0
29 Mar 2025
Learning Distributions of Complex Fluid Simulations with Diffusion Graph Networks
Learning Distributions of Complex Fluid Simulations with Diffusion Graph Networks
Mario Lino
Tobias Pfaff
Nils Thuerey
DiffM
AI4CE
31
3
0
19 Mar 2025
Model-Agnostic Knowledge Guided Correction for Improved Neural Surrogate Rollout
Bharat Srikishan
Daniel O'Malley
Mohamed Mehana
Nicholas Lubbers
Nikhil Muralidhar
AI4CE
40
0
0
13 Mar 2025
Scalar Field Prediction on Meshes Using Interpolated Multi-Resolution
  Convolutional Neural Networks
Scalar Field Prediction on Meshes Using Interpolated Multi-Resolution Convolutional Neural Networks
Kevin Ferguson
Andrew Gillman
James Hardin
Levent Burak Kara
AI4CE
18
1
0
07 Oct 2024
Structural Constraints for Physics-augmented Learning
Structural Constraints for Physics-augmented Learning
Simon Kuang
Xinfan Lin
PINN
16
0
0
07 Oct 2024
Discovering Message Passing Hierarchies for Mesh-Based Physics
  Simulation
Discovering Message Passing Hierarchies for Mesh-Based Physics Simulation
Huayu Deng
Xiangming Zhu
Yunbo Wang
Xiaokang Yang
PINN
AI4CE
24
0
0
03 Oct 2024
Scalable and Consistent Graph Neural Networks for Distributed Mesh-based
  Data-driven Modeling
Scalable and Consistent Graph Neural Networks for Distributed Mesh-based Data-driven Modeling
Shivam Barwey
Riccardo Balin
Bethany Lusch
Saumil Patel
Ramesh Balakrishnan
Pinaki Pal
R. Maulik
V. Vishwanath
GNN
AI4CE
18
1
0
02 Oct 2024
Structure-Preserving Operator Learning
Structure-Preserving Operator Learning
Nacime Bouziani
Nicolas Boullé
22
0
0
01 Oct 2024
Spatiotemporal Learning on Cell-embedded Graphs
Spatiotemporal Learning on Cell-embedded Graphs
Yuan Mi
Hao Sun
30
1
0
26 Sep 2024
Physics-Informed Graph-Mesh Networks for PDEs: A hybrid approach for
  complex problems
Physics-Informed Graph-Mesh Networks for PDEs: A hybrid approach for complex problems
M. Chenaud
Frédéric Magoulès
José Alves
AI4CE
PINN
23
1
0
25 Sep 2024
FB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of
  Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition
FB-HyDON: Parameter-Efficient Physics-Informed Operator Learning of Complex PDEs via Hypernetwork and Finite Basis Domain Decomposition
Milad Ramezankhani
Rishi Parekh
A. Deodhar
Dagnachew Birru
AI4CE
24
0
0
13 Sep 2024
Mesh-based Super-Resolution of Fluid Flows with Multiscale Graph Neural Networks
Mesh-based Super-Resolution of Fluid Flows with Multiscale Graph Neural Networks
Shivam Barwey
Pinaki Pal
Saumil Patel
Riccardo Balin
Bethany Lusch
V. Vishwanath
R. Maulik
R. Balakrishnan
AI4CE
96
0
0
12 Sep 2024
A review of graph neural network applications in mechanics-related
  domains
A review of graph neural network applications in mechanics-related domains
Yingxue Zhao
Haoran Li
Haosu Zhou
H. Attar
Tobias Pfaff
Nan Li
AI4CE
27
5
0
10 Jul 2024
A Review of Differentiable Simulators
A Review of Differentiable Simulators
Rhys Newbury
Jack Collins
Kerry He
Jiahe Pan
Ingmar Posner
David Howard
Akansel Cosgun
AI4CE
36
9
0
08 Jul 2024
Latent Intuitive Physics: Learning to Transfer Hidden Physics from A 3D
  Video
Latent Intuitive Physics: Learning to Transfer Hidden Physics from A 3D Video
Xiangming Zhu
Huayu Deng
Haochen Yuan
Yunbo Wang
Xiaokang Yang
AI4CE
VGen
PINN
29
1
0
18 Jun 2024
Graph Neural Reaction Diffusion Models
Graph Neural Reaction Diffusion Models
Moshe Eliasof
Eldad Haber
Eran Treister
DiffM
AI4CE
19
2
0
16 Jun 2024
Learning Physical Simulation with Message Passing Transformer
Learning Physical Simulation with Message Passing Transformer
Zeyi Xu
Yifei Li
AI4CE
17
1
0
10 Jun 2024
Enhancing Graph U-Nets for Mesh-Agnostic Spatio-Temporal Flow Prediction
Enhancing Graph U-Nets for Mesh-Agnostic Spatio-Temporal Flow Prediction
Sunwoong Yang
Ricardo Vinuesa
Namwoo Kang
AI4CE
36
4
0
06 Jun 2024
GFN: A graph feedforward network for resolution-invariant reduced
  operator learning in multifidelity applications
GFN: A graph feedforward network for resolution-invariant reduced operator learning in multifidelity applications
Oisín M. Morrison
F. Pichi
J. Hesthaven
AI4CE
26
1
0
05 Jun 2024
Flexible SE(2) graph neural networks with applications to PDE surrogates
Flexible SE(2) graph neural networks with applications to PDE surrogates
Maria Bånkestad
Olof Mogren
Aleksis Pirinen
34
1
0
30 May 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs
  with applications in heterogeneous media
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media
Matthaios Chatzopoulos
P. Koutsourelakis
AI4CE
24
3
0
29 May 2024
Learning Coarse-Grained Dynamics on Graph
Learning Coarse-Grained Dynamics on Graph
Yin Yu
J. Harlim
Daning Huang
Yan Li
30
1
0
15 May 2024
Physics-integrated generative modeling using attentive planar
  normalizing flow based variational autoencoder
Physics-integrated generative modeling using attentive planar normalizing flow based variational autoencoder
Sheikh Waqas Akhtar
DRL
17
0
0
18 Apr 2024
End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE
  Solver
End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver
Shaocong Ma
James Diffenderfer
B. Kailkhura
Yi Zhou
AI4CE
25
0
0
17 Apr 2024
First-order PDES for Graph Neural Networks: Advection And Burgers
  Equation Models
First-order PDES for Graph Neural Networks: Advection And Burgers Equation Models
Yifan Qu
Oliver A. Krzysik
H. Sterck
Omer Ege Kara
AI4CE
14
0
0
03 Apr 2024
Inpainting Computational Fluid Dynamics with Deep Learning
Inpainting Computational Fluid Dynamics with Deep Learning
Dule Shu
Wilson Zhen
Zijie Li
A. Farimani
AI4CE
18
0
0
27 Feb 2024
Learning time-dependent PDE via graph neural networks and deep operator
  network for robust accuracy on irregular grids
Learning time-dependent PDE via graph neural networks and deep operator network for robust accuracy on irregular grids
S. Cho
Jae Yong Lee
Hyung Ju Hwang
GNN
AI4CE
8
3
0
13 Feb 2024
BENO: Boundary-embedded Neural Operators for Elliptic PDEs
BENO: Boundary-embedded Neural Operators for Elliptic PDEs
Haixin Wang
Jiaxin Li
Anubhav Dwivedi
Kentaro Hara
Tailin Wu
11
7
0
17 Jan 2024
DiffHybrid-UQ: Uncertainty Quantification for Differentiable Hybrid
  Neural Modeling
DiffHybrid-UQ: Uncertainty Quantification for Differentiable Hybrid Neural Modeling
Deepak Akhare
Tengfei Luo
Jian-Xun Wang
19
6
0
30 Dec 2023
Learning Flexible Body Collision Dynamics with Hierarchical Contact Mesh
  Transformer
Learning Flexible Body Collision Dynamics with Hierarchical Contact Mesh Transformer
Youn-Yeol Yu
Jeongwhan Choi
Woojin Cho
Kookjin Lee
Nayong Kim
...
Ilho Kim
Seok-Woo Lee
Joon Young Yang
S. Yoon
Noseong Park
AI4CE
8
6
0
19 Dec 2023
On the locality of local neural operator in learning fluid dynamics
On the locality of local neural operator in learning fluid dynamics
Ximeng Ye
Hongyu Li
Jingjie Huang
Guoliang Qin
AI4CE
26
8
0
15 Dec 2023
Deep Learning with Physics Priors as Generalized Regularizers
Deep Learning with Physics Priors as Generalized Regularizers
Frank Liu
Agniva Chowdhury
BDL
PINN
AI4CE
29
3
0
14 Dec 2023
Graph Network Surrogate Model for Subsurface Flow Optimization
Graph Network Surrogate Model for Subsurface Flow Optimization
Haoyu Tang
L. Durlofsky
15
12
0
14 Dec 2023
Enhancing Data-Assimilation in CFD using Graph Neural Networks
Enhancing Data-Assimilation in CFD using Graph Neural Networks
M. Quattromini
M. Bucci
Stefania Cherubini
Onofrio Semeraro
AI4CE
11
0
0
29 Nov 2023
XLB: A differentiable massively parallel lattice Boltzmann library in
  Python
XLB: A differentiable massively parallel lattice Boltzmann library in Python
Mohammadmehdi Ataei
H. Salehipour
AI4CE
14
12
0
27 Nov 2023
Finite Volume Features, Global Geometry Representations, and Residual
  Training for Deep Learning-based CFD Simulation
Finite Volume Features, Global Geometry Representations, and Residual Training for Deep Learning-based CFD Simulation
Loh Sher En Jessica
Naheed Anjum Arafat
Wei Xian Lim
Wai Lee Chan
A. W. Kong
AI4CE
22
2
0
24 Nov 2023
Probabilistic Physics-integrated Neural Differentiable Modeling for
  Isothermal Chemical Vapor Infiltration Process
Probabilistic Physics-integrated Neural Differentiable Modeling for Isothermal Chemical Vapor Infiltration Process
Deepak Akhare
Zeping Chen
R. Gulotty
Tengfei Luo
Jian-Xun Wang
AI4CE
6
5
0
13 Nov 2023
Differentiable Fluid Physics Parameter Identification Via Stirring
Differentiable Fluid Physics Parameter Identification Via Stirring
Samuel Paradis
Dongzhe Zheng
Yutong Li
Michael Whitmeyer
Cewu Lu
8
0
0
09 Nov 2023
Multi-scale Time-stepping of Partial Differential Equations with
  Transformers
Multi-scale Time-stepping of Partial Differential Equations with Transformers
AmirPouya Hemmasian
A. Farimani
AI4CE
42
13
0
03 Nov 2023
SURF: A Generalization Benchmark for GNNs Predicting Fluid Dynamics
SURF: A Generalization Benchmark for GNNs Predicting Fluid Dynamics
Stefan Künzli
Florian Grötschla
Joël Mathys
Roger Wattenhofer
AI4CE
11
0
0
30 Oct 2023
Physics-Informed Graph Convolutional Networks: Towards a generalized
  framework for complex geometries
Physics-Informed Graph Convolutional Networks: Towards a generalized framework for complex geometries
M. Chenaud
José Alves
Frédéric Magoulès
AI4CE
PINN
16
1
0
20 Oct 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for
  Machine Learning and Process-based Hydrology
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology
Qingsong Xu
Yilei Shi
Jonathan Bamber
Ye Tuo
Ralf Ludwig
Xiao Xiang Zhu
AI4CE
18
9
0
08 Oct 2023
Learning graph geometry and topology using dynamical systems based
  message-passing
Learning graph geometry and topology using dynamical systems based message-passing
Dhananjay Bhaskar
Yanlei Zhang
Charles Xu
Xingzhi Sun
O. Fasina
Guy Wolf
Maximilian Nickel
Michael Perlmutter
Smita Krishnaswamy
AI4CE
28
2
0
18 Sep 2023
Benchmarking Autoregressive Conditional Diffusion Models for Turbulent
  Flow Simulation
Benchmarking Autoregressive Conditional Diffusion Models for Turbulent Flow Simulation
Georg Kohl
Li-Wei Chen
Nils Thuerey
AI4CE
DiffM
26
22
0
04 Sep 2023
Feature Transportation Improves Graph Neural Networks
Feature Transportation Improves Graph Neural Networks
Moshe Eliasof
E. Haber
Eran Treister
GNN
34
10
0
29 Jul 2023
Learning to simulate partially known spatio-temporal dynamics with
  trainable difference operators
Learning to simulate partially known spatio-temporal dynamics with trainable difference operators
Xiang Huang
Zhuoyuan Li
Hongsheng Liu
Zidong Wang
Hongye Zhou
Bin Dong
Bei Hua
AI4TS
AI4CE
11
1
0
26 Jul 2023
Multi-GPU Approach for Training of Graph ML Models on large CFD Meshes
Multi-GPU Approach for Training of Graph ML Models on large CFD Meshes
Sebastian Strönisch
Maximilian Sander
A. Knüpfer
M. Meyer
AI4CE
9
8
0
25 Jul 2023
Graph Convolutional Networks for Simulating Multi-phase Flow and
  Transport in Porous Media
Graph Convolutional Networks for Simulating Multi-phase Flow and Transport in Porous Media
Jiamin Jiang
B. Guo
GNN
AI4CE
12
0
0
10 Jul 2023
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