Astronomy and Astrophysics – Astrophysics
Scientific paper
2006-08-31
Astronomy and Astrophysics
Astrophysics
42 pages, 1 tables, 18 figures. Submitted to ApJS. A paper with high resolution figures available at http://gammaray.nsstc.n
Scientific paper
We have developed a new three-dimensional general relativistic magnetohydrodynamic (GRMHD) code, RAISHIN, using a conservative, high resolution shock-capturing scheme. The numerical fluxes are calculated using the Harten, Lax, & van Leer (HLL) approximate Riemann solver scheme. The flux-interpolated, constrained transport scheme is used to maintain a divergence-free magnetic field. In order to examine the numerical accuracy and the numerical efficiency, the code uses four different reconstruction methods: piecewise linear methods with Minmod and MC slope-limiter function, convex essentially non-oscillatory (CENO) method, and piecewise parabolic method (PPM) using multistep TVD Runge-Kutta time advance methods with second and third-order time accuracy. We describe code performance on an extensive set of test problems in both special and general relativity. Our new GRMHD code has proven to be accurate in second order and has successfully passed with all tests performed, including highly relativistic and magnetized cases in both special and general relativity.
Fishman Gerald J.
Hardee Philip
Koide Shinji
Mizuno Yosuke
Nishikawa Ken-Ichi
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