Clifford neural layers for pde modeling

J Brandstetter, R Berg, M Welling, JK Gupta - arxiv preprint arxiv …, 2022 - arxiv.org
Partial differential equations (PDEs) see widespread use in sciences and engineering to
describe simulation of physical processes as scalar and vector fields interacting and …

Towards multi-spatiotemporal-scale generalized pde modeling

JK Gupta, J Brandstetter - arxiv preprint arxiv:2209.15616, 2022 - arxiv.org
Partial differential equations (PDEs) are central to describing complex physical system
simulations. Their expensive solution techniques have led to an increased interest in deep …

Composing partial differential equations with physics-aware neural networks

M Karlbauer, T Praditia, S Otte… - International …, 2022 - proceedings.mlr.press
We introduce a compositional physics-aware FInite volume Neural Network (FINN) for
learning spatiotemporal advection-diffusion processes. FINN implements a new way of …

Physics informed neural network using finite difference method

KL Lim, R Dutta, M Rotaru - 2022 IEEE International …, 2022 - ieeexplore.ieee.org
In recent engineering applications using deep learning, physics-informed neural network
(PINN) is a new development as it can exploit the underlying physics of engineering …

Predicting unsteady incompressible fluid dynamics with finite volume informed neural network

T Li, S Zou, X Chang, L Zhang, X Deng - Physics of Fluids, 2024 - pubs.aip.org
The rapid development of deep learning has significant implications for the advancement of
computational fluid dynamics. Currently, most pixel-grid-based deep learning methods for …

Finite volume method network for the acceleration of unsteady computational fluid dynamics: Non‐reacting and reacting flows

J Jeon, J Lee, SJ Kim - International Journal of Energy …, 2022 - Wiley Online Library
Despite rapid improvements in the performance of the central processing unit (CPU), the
calculation cost of simulating chemically reacting flow using CFD remains infeasible in many …

Dynabench: A benchmark dataset for learning dynamical systems from low-resolution data

A Dulny, A Hotho, A Krause - Joint European Conference on Machine …, 2023 - Springer
Previous work on learning physical systems from data has focused on high-resolution grid-
structured measurements. However, real-world knowledge of such systems (eg weather …

NeuralPDE: modelling dynamical systems from data

A Dulny, A Hotho, A Krause - German Conference on Artificial Intelligence …, 2022 - Springer
Many physical processes such as weather phenomena or fluid mechanics are governed by
partial differential equations (PDEs). Modelling such dynamical systems using Neural …

[PDF][PDF] FVM Network to reduce computational cost of CFD simulation

J Jeon, SJ Kim - arxiv preprint arxiv, 2021 - researchgate.net
Despite the rapid growth of CPU performance, the computational cost to simulate the
chemically reacting flow is still infeasible in many cases. There are few studies to accelerate …

Infering boundary conditions in finite volume neural networks

CC Horuz, M Karlbauer, T Praditia, MV Butz… - … Conference on Artificial …, 2022 - Springer
When modeling physical processes in spatially confined domains, the boundaries require
distinct consideration through specifying appropriate boundary conditions (BCs). The finite …