6533b7d6fe1ef96bd1266714

RESEARCH PRODUCT

An HLLC Riemann solver for resistive relativistic magnetohydrodynamics

M. A. AloyT RembiaszS Miranda-aranguren

subject

High Energy Astrophysical Phenomena (astro-ph.HE)PhysicsShock waveResistive touchscreenFOS: Physical sciencesAstronomy and AstrophysicsSolverSystem of linear equations01 natural sciencesRiemann solver010305 fluids & plasmassymbols.namesakeClassical mechanicsAstrophysics - Solar and Stellar AstrophysicsSpace and Planetary Science0103 physical sciencesComputer Science::Mathematical SoftwaresymbolsMagnetohydrodynamicsAstrophysics - Instrumentation and Methods for AstrophysicsAstrophysics - High Energy Astrophysical PhenomenaConstant (mathematics)Instrumentation and Methods for Astrophysics (astro-ph.IM)010303 astronomy & astrophysicsSolar and Stellar Astrophysics (astro-ph.SR)

description

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.

https://doi.org/10.1093/mnras/sty419