𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An Entropic Solver for Ideal Lagrangian Magnetohydrodynamics

✍ Scribed by Fabienne Bezard; Bruno Després

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
200 KB
Volume
154
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we adapt to the ideal 1D lagrangian MHD equations a class of numerical schemes of order one in time and space presented in an earlier paper and applied to the gas dynamics system. They use some properties of systems of conservation laws with zero entropy flux which describe fluid models invariant by galilean transformation and reversible for regular solutions. These numerical schemes satisfy an entropy inequality under CFL conditions. In the last section, we describe a particular scheme for the MHD equations and show with some numerical applications its robustness and accuracy. The generalization to full Eulerian multidimensional MHD will be the subject of a forthcoming paper.

📜 SIMILAR VOLUMES

An Approximate Riemann Solver for Ideal
An Approximate Riemann Solver for Ideal Magnetohydrodynamics
✍ Wenlong Dai; Paul R. Woodward 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 877 KB

To construct numerical schemes of the Godunov type for solving magnetohydrodynamical (MHO) problems, an approximate method of solving the MHD Riemann problem is required in order to calculate the time-averaged fluxes at the interfaces of numerical zones. Such an MHD Riemann solver is presented here