The exact solution of the Riemann problem in relativistic magnetohydrodynamics

被引:111
作者
Giacomazzo, Bruno [1 ]
Rezzolla, Luciano
机构
[1] SISSA, Int Sch Adv Studies, I-34014 Trieste, Italy
[2] Ist Nazl Fis Nucl, Trieste, Italy
[3] Louisiana State Univ, Dept Phys, Baton Rouge, LA 70803 USA
关键词
D O I
10.1017/S0022112006001145
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We discuss the procedure for the exact solution of the Riemann problem in special relativistic magnetohydrodynamics (MHD). We consider both initial states leading to a set of only three waves analogous to the ones in relativistic hydrodynamics, as well as generic initial states leading to the full set of seven MHD waves. Because of its generality, the solution presented here could serve as an important test for those numerical codes solving the MHD equations in relativistic regimes.
引用
收藏
页码:223 / 259
页数:37
相关论文
共 49 条
  • [1] Genesis:: A high-resolution code for three-dimensional relativistic hydrodynamics
    Aloy, MA
    Ibáñez, JM
    Martí, JM
    Müller, E
    [J]. ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 1999, 122 (01) : 151 - 166
  • [2] Anile A. M., 1989, Relativistic Fluids and Magneto-Fluids: With Applications in Astrophysics and Plasma Physics
  • [3] Numerical 3+1 general relativistic magnetohydrodynamics:: A local characteristic approach
    Antón, L
    Zanotti, O
    Miralles, JA
    Martí, JM
    Ibáñez, JM
    Font, JA
    Pons, JA
    [J]. ASTROPHYSICAL JOURNAL, 2006, 637 (01) : 296 - 312
  • [4] Three-dimensional relativistic simulations of rotating neutron-star collapse to a Kerr black hole -: art. no. 024035
    Baiotti, L
    Hawke, I
    Montero, PJ
    Löffler, F
    Rezzolla, L
    Stergioulas, N
    Font, JA
    Seidel, E
    [J]. PHYSICAL REVIEW D, 2005, 71 (02): : 024035 - 1
  • [5] Total variation diminishing scheme for relativistic magnetohydrodynamics
    Balsara, D
    [J]. ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 2001, 132 (01) : 83 - 101
  • [6] AN UPWIND DIFFERENCING SCHEME FOR THE EQUATIONS OF IDEAL MAGNETOHYDRODYNAMICS
    BRIO, M
    WU, CC
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1988, 75 (02) : 400 - 422
  • [7] AN APPROXIMATE RIEMANN SOLVER FOR IDEAL MAGNETOHYDRODYNAMICS
    DAI, WL
    WOODWARD, PR
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 111 (02) : 354 - 372
  • [8] A numerical method for general relativistic magnetohydrodynamics
    De Villiers, JP
    Hawley, JF
    [J]. ASTROPHYSICAL JOURNAL, 2003, 589 (01) : 458 - 480
  • [9] An efficient shock-capturing central-type scheme for multidimensional relativistic flows - II. Magnetohydrodynamics
    Del Zanna, L
    Bucciantini, N
    Londrillo, P
    [J]. ASTRONOMY & ASTROPHYSICS, 2003, 400 (02): : 397 - 413
  • [10] Relativistic magnetohydrodynamics in dynamical spacetimes: Numerical methods and tests
    Duez, MD
    Liu, YT
    Shapiro, SL
    Stephens, BC
    [J]. PHYSICAL REVIEW D, 2005, 72 (02): : 1 - 21