Clifford neural layers for pde modeling
Partial differential equations (PDEs) see widespread use in sciences and engineering to
describe simulation of physical processes as scalar and vector fields interacting and …
describe simulation of physical processes as scalar and vector fields interacting and …
Towards multi-spatiotemporal-scale generalized pde modeling
Partial differential equations (PDEs) are central to describing complex physical system
simulations. Their expensive solution techniques have led to an increased interest in deep …
simulations. Their expensive solution techniques have led to an increased interest in deep …
Composing partial differential equations with physics-aware neural networks
We introduce a compositional physics-aware FInite volume Neural Network (FINN) for
learning spatiotemporal advection-diffusion processes. FINN implements a new way of …
learning spatiotemporal advection-diffusion processes. FINN implements a new way of …
Physics informed neural network using finite difference method
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 …
(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 …
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 …
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
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 …
structured measurements. However, real-world knowledge of such systems (eg weather …
NeuralPDE: modelling dynamical systems from data
Many physical processes such as weather phenomena or fluid mechanics are governed by
partial differential equations (PDEs). Modelling such dynamical systems using Neural …
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 …
chemically reacting flow is still infeasible in many cases. There are few studies to accelerate …
Infering boundary conditions in finite volume neural networks
When modeling physical processes in spatially confined domains, the boundaries require
distinct consideration through specifying appropriate boundary conditions (BCs). The finite …
distinct consideration through specifying appropriate boundary conditions (BCs). The finite …