A five-wave HLL Riemann solver for relativistic MHD

Details A five-wave HLL Riemann solver for relativistic MHD A five-wave HLL Riemann solver for relativistic MHD

2008-11-10

arxiv.org/abs/0811.1483v1

Astronomy and Astrophysics

Astrophysics

15 pages, 19 figures. Accepted for Publication in MNRAS

Scientific paper

We present a five-wave Riemann solver for the equations of ideal relativistic magnetohydrodynamics. Our solver can be regarded as a relativistic extension of the five-wave HLLD Riemann solver initially developed by Miyoshi and Kusano for the equations of ideal MHD. The solution to the Riemann problem is approximated by a five wave pattern, comprised of two outermost fast shocks, two rotational discontinuities and a contact surface in the middle. The proposed scheme is considerably more elaborate than in the classical case since the normal velocity is no longer constant across the rotational modes. Still, proper closure to the Rankine-Hugoniot jump conditions can be attained by solving a nonlinear scalar equation in the total pressure variable which, for the chosen configuration, has to be constant over the whole Riemann fan. The accuracy of the new Riemann solver is validated against one dimensional tests and multidimensional applications. It is shown that our new solver considerably improves over the popular HLL solver or the recently proposed HLLC schemes.

Affiliated with

Also associated with

No associations

Rating

A five-wave HLL Riemann solver for relativistic MHD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A five-wave HLL Riemann solver for relativistic MHD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A five-wave HLL Riemann solver for relativistic MHD will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-724769