On thermodynamic consistency of generalised Lagrange multiplier magnetohydrodynamic solvers

Finite volume methods applied to problems in fluid mechanics (76M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Complexity and performance of numerical algorithms (65Y20)

Cites Work

A method for incorporating Gauss' law into electromagnetic PIC codes
The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
On the symmetric form of systems of conservation laws with entropy
On a finite-element method for solving the three-dimensional Maxwell equations
Towards the ultimative conservative difference scheme. V: A second-order sequel to Godunov's method
A positive conservative method for magnetohydrodynamics based on HLL and Roe methods
Divergence correction techniques for Maxwell solvers based on a hyperbolic model
Hyperbolic divergence cleaning for the MHD equations
An ideal compressible magnetohydrodynamic solver with parallel block-structured adaptive mesh refinement
Ideal GLM-MHD: about the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations
A solution-adaptive upwind scheme for ideal magnetohydrodynamics
Magnetohydrodynamics adaptive solvers in the AMROC framework for space plasma applications
A second-order unsplit Godunov scheme for cell-centered MHD: the CTU-GLM scheme
Wavelet-based parallel dynamic mesh adaptation for magnetohydrodynamics in the AMROC framework
An adaptive multiresolution method for ideal magnetohydrodynamics using divergence cleaning with parabolic-hyperbolic correction
A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics
Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes
Block-structured Adaptive Mesh Refinement - Theory, Implementation and Application
On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
Maxwell's equations when the charge conservation is not satisfied
Finite Volume Methods for Hyperbolic Problems
A note on magnetic monopoles and the one-dimensional MHD Riemann problem.

This page was built for publication: On thermodynamic consistency of generalised Lagrange multiplier magnetohydrodynamic solvers