First order hyperbolic approach for anisotropic diffusion equation
From MaRDI portal
Publication:2222414
DOI10.1016/j.jcp.2019.06.064zbMath1452.65298arXiv1907.11897OpenAlexW2954060651WikidataQ127577593 ScholiaQ127577593MaRDI QIDQ2222414
Kimiya Komurasaki, Hiroaki Nishikawa, Amareshwara Sainadh Chamarthi
Publication date: 27 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.11897
Diffusion (76R50) Finite difference methods applied to problems in fluid mechanics (76M20) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05)
Related Items (4)
Reconstructed discontinuous Galerkin methods for compressible flows based on a new hyperbolic Navier-Stokes system ⋮ High-order central-upwind shock capturing scheme using a boundary variation diminishing (BVD) algorithm ⋮ Efficient high-order gradient-based reconstruction for compressible flows ⋮ A hyperbolic Poisson solver for tetrahedral grids
Uses Software
Cites Work
- First-, second-, and third-order finite-volume schemes for diffusion
- Finite-difference schemes for anisotropic diffusion
- An asymptotic-preserving semi-Lagrangian algorithm for the time-dependent anisotropic heat transport equation
- Numerical (error) issues on compressible multicomponent flows using a high-order differencing scheme: weighted compact nonlinear scheme
- An asymptotic-preserving method for highly anisotropic elliptic equations based on a micro-macro decomposition
- Freestream and vortex preservation properties of high-order WENO and WCNS on curvilinear grids
- A 6th order staggered compact finite difference method for the incompressible Navier-Stokes and scalar transport equations
- A high order moving boundary treatment for compressible inviscid flows
- Finite-volume WENO schemes for three-dimensional conservation laws
- A first-order hyperbolic system approach for dispersion
- A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas
- Finite-volume scheme for anisotropic diffusion
- A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems
- Methods for numerical simulation of ideal MHD stability of axisymmetric plasmas
- Compact finite difference schemes with spectral-like resolution
- CARRE: A quasi-orthogonal mesh generator for 2D edge plasma modelling
- A robust high-order compact method for large eddy simulation.
- Nonlinear magnetohydrodynamics simulation using high-order finite elements.
- A family of hybrid cell-edge and cell-node dissipative compact schemes satisfying geometric conservation law
- High-order localized dissipation weighted compact nonlinear scheme for shock- and interface-capturing in compressible flows
- Dimensional scaling and numerical similarity in hyperbolic method for diffusion
- Efficient implementation of weighted ENO schemes
- Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws
- Robust explicit formulation of weighted compact nonlinear scheme
- High-order upwind and non-oscillatory approach for steady state diffusion, advection-diffusion and application to magnetized electrons
- A flux-splitting method for hyperbolic-equation system of magnetized electron fluids in quasi-neutral plasmas
- On hyperbolic method for diffusion with discontinuous coefficients
- Preserving monotonicity in anisotropic diffusion
- A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- Modelling of heat transport in magnetised plasmas using non-aligned coordinates
- An Asymptotic Preserving Scheme for Strongly Anisotropic Elliptic Problems
- Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids
- Developing high-order weighted compact nonlinear schemes
This page was built for publication: First order hyperbolic approach for anisotropic diffusion equation
