A characteristic-based nonconvex entropy-fix upwind scheme for the ideal magnetohydrodynamic equations
From MaRDI portal
Publication:1025175
DOI10.1016/j.jcp.2009.03.001zbMath1273.76332OpenAlexW2108581983MaRDI QIDQ1025175
Publication date: 18 June 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2009.03.001
upwind schemeshyperbolic conservation lawsideal magnetohydrodynamic equationslocal characteristic fields
PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items
An extension of AUFSR scheme for the ideal magnetohydrodynamics equations, Approximate Osher-Solomon Schemes for Hyperbolic Systems, A second order PVM flux limiter method. Application to magnetohydrodynamics and shallow stratified flows, Anomalous wave structure in magnetized materials described by non-convex equations of state, On a class of two-dimensional incomplete Riemann solvers, A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function, Approximate Osher-Solomon schemes for hyperbolic systems, A non-linear finite volume method coupled with a modified higher order MUSCL-type method for the numerical simulation of two-phase flows in non-homogeneous and non-isotropic oil reservoirs, Capturing composite waves in non-convex special relativistic hydrodynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Non-oscillatory central schemes for one- and two-dimensional MHD equations. I
- An HLLC Riemann solver for magneto-hydrodynamics
- An upwind differencing scheme for the equations of ideal magnetohydrodynamics
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
- A simple finite difference scheme for multidimensional magnetohydrodynamical equations
- A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Capturing shock reflections: An improved flux formula
- Non-linear wave propagation with applications to physics and magnetohydrodynamics
- Hyperbolic systems of conservation laws II
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
- Some problems in the theory of quasilinear equations
- A Class of Extended Limiters Applied to Piecewise Hyperbolic Methods
- Nonoscillatory Central Schemes for One- and Two-Dimensional Magnetohydrodynamics Equations. II: High-Order SemiDiscrete Schemes