An HLLC Riemann Solver for Resistive Relativistic Magnetohydrodynamics

TL;DR

This paper introduces a new HLLC Riemann solver tailored for resistive relativistic magnetohydrodynamics, improving the accuracy of simulations involving complex plasma behaviors.

Contribution

The paper develops and calibrates a novel HLLC Riemann solver specifically for resistive relativistic MHD equations, enhancing computational modeling capabilities.

Findings

Solver accurately captures shock and contact discontinuities.

Improved resolution in resistive relativistic MHD simulations.

Validated through one- and two-dimensional test problems.

Abstract

We present a new approximate Riemann solver for the augmented system of equations of resistive relativistic magnetohydrodynamics (RRMHD) that belongs to the family of Harten-Lax-van Leer contact wave (HLLC) solvers. In HLLC solvers, the solution is approximated by two constant states flanked by two shocks separated by a contact wave. The accuracy of the new approximate solver is calibrated through one- and two-dimensional test problems.