Least-square finite difference-based physics-informed neural network for steady incompressible flows
From MaRDI portal
Publication:6663359
DOI10.1016/j.camwa.2024.08.035MaRDI QIDQ6663359
Hao Dong, Y. J. Du, Yixuan Song, L. M. Yang, Y. Xiao, Chang Shu
Publication date: 14 January 2025
Published in: Computers & Mathematics with Applications (Search for Journal in Brave)
steady incompressible flowsphysics-informed neural networkautomatic differentiation methodleast-square finite difference
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Numerical solutions of 2-D steady incompressible flow over a backward-facing step. I: High Reynolds number solutions
- Numerical comparison of least square-based finite-difference (LSFD) and radial basis function-based finite-difference (RBFFD) methods
- Free vibration analysis of plates using least-square-based finite difference method
- The dispersion of the Hammersley sequence in the unit square
- Development of least-square-based two-dimensional finite difference schemes and their application to simulate natural convection in a cavity.
- Randomized Halton sequences
- Machine learning for metal additive manufacturing: predicting temperature and melt pool fluid dynamics using physics-informed neural networks
- PhyGeoNet: physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular domain
- Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation
- Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems
- CAN-PINN: a fast physics-informed neural network based on coupled-automatic-numerical differentiation method
- Physics-informed neural networks for inverse problems in supersonic flows
- Variational physics informed neural networks: the role of quadratures and test functions
- Physics-informed neural networks for high-speed flows
- Surrogate modeling for fluid flows based on physics-constrained deep learning without simulation data
- Adaptive activation functions accelerate convergence in deep and physics-informed neural networks
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- An adaptive finite volume method for the incompressible Navier-Stokes equations in complex geometries
- Finite difference method for incompressible Navier--Stokes equations in arbitrary orthogonal curvilinear coordinates
- A local and parallel Uzawa finite element method for the generalized Navier-Stokes equations
- Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
- Lattice Boltzmann and Gas Kinetic Flux Solvers
- Comparison of method of lines and finite difference solutions of 2-D Navier-Stokes equations for transient laminar pipe flow
- A numerical study of flow over a confined backward‐facing step
- Study of the mixed finite volume method for Stokes and Navier‐Stokes equations
- Finite element interpolated neural networks for solving forward and inverse problems
- Learning of viscosity functions in rarefied gas flows with physics-informed neural networks
- Discontinuity computing using physics-informed neural networks
- Applications of finite difference-based physics-informed neural networks to steady incompressible isothermal and thermal flows
This page was built for publication: Least-square finite difference-based physics-informed neural network for steady incompressible flows
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6663359)