A five‐wave Harten–Lax–van Leer Riemann solver for relativistic magnetohydrodynamics
暂无分享,去创建一个
[1] P. Colella,et al. Local adaptive mesh refinement for shock hydrodynamics , 1989 .
[2] William H. Press,et al. Numerical Recipes in C, 2nd Edition , 1992 .
[3] INFN,et al. The exact solution of the Riemann problem in relativistic magnetohydrodynamics , 2005, Journal of Fluid Mechanics.
[4] A. Ferrari,et al. PLUTO: A Numerical Code for Computational Astrophysics , 2007, astro-ph/0701854.
[5] Pekka Janhunen,et al. HLLC solver for ideal relativistic MHD , 2007, J. Comput. Phys..
[6] W. F. Noh. Errors for calculations of strong shocks using an artificial viscosity and artificial heat flux , 1985 .
[7] R. Keppens,et al. Extragalactic jets with helical magnetic fields: relativistic MHD simulations , 2008, 0802.2034.
[8] G. Bodo,et al. An HLLC Riemann solver for relativistic flows – II. Magnetohydrodynamics , 2006 .
[9] William H. Press,et al. Numerical recipes in C , 2002 .
[10] J. Pons,et al. The exact solution of the Riemann problem in relativistic magnetohydrodynamics with tangential magnetic fields , 2005, Journal of Fluid Mechanics.
[11] A. Jefrey,et al. Non-Linear Wave Propagation , 1964 .
[12] Relativistic MHD Simulations of Jets with Toroidal Magnetic Fields , 2005, astro-ph/0511769.
[13] P. Lax,et al. On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws , 1983 .
[14] Rony Keppens,et al. A multidimensional grid-adaptive relativistic magnetofluid code , 2008, Comput. Phys. Commun..
[15] S. Komissarov,et al. On the properties of Alfvn waves in relativistic magnetohydrodynamics , 1997 .
[16] A. Mignone,et al. Equation of state in relativistic magnetohydrodynamics: variable versus constant adiabatic index , 2007, 0704.1679.
[17] O. A. Kuznetsov,et al. An approximate Riemann solver for relativistic magnetohydrodynamics , 2002 .
[18] M. Aloy,et al. Relativistic MHD simulations of extragalactic jets , 2005 .
[19] Charles F. Gammie,et al. HARM: A NUMERICAL SCHEME FOR GENERAL RELATIVISTIC MAGNETOHYDRODYNAMICS , 2003 .
[20] Angelo Marcello Anile,et al. Relativistic fluids and magneto-fluids , 2005 .
[21] André Lichnerowicz,et al. Relativistic Hydrodynamics And Magnetohydrodynamics , 1967 .
[22] N. Bucciantini,et al. Local Kelvin-Helmholtz instability and synchrotron modulation in Pulsar Wind Nebulae , 2006, astro-ph/0603481.
[23] Katharine Gurski,et al. An HLLC-Type Approximate Riemann Solver for Ideal Magnetohydrodynamics , 2001, SIAM J. Sci. Comput..
[24] Dinshaw S. Balsara,et al. Total Variation Diminishing Scheme for Relativistic Magnetohydrodynamics , 2001 .
[25] E. Toro,et al. Restoration of the contact surface in the HLL-Riemann solver , 1994 .
[26] M. Brio,et al. An upwind differencing scheme for the equations of ideal magnetohydrodynamics , 1988 .
[27] P. Londrillo,et al. An efficient shock-capturing central-type scheme for multidimensional relativistic flows. II. Magnetohydrodynamics , 2002 .
[28] E. Toro. Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .
[29] N. Bucciantini,et al. An efficient shock-capturing central-type scheme for multidimensional relativistic flows , 2002 .
[30] Shengtai Li. An HLLC Riemann solver for magneto-hydrodynamics , 2005 .
[31] P. Roe,et al. On Godunov-type methods near low densities , 1991 .
[32] K. Kusano,et al. A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics , 2005 .
[33] S. Komissarov. Numerical simulations of relativistic magnetized jets , 1999 .
[34] O. Zanotti,et al. ECHO: a Eulerian conservative high-order scheme for general relativistic magnetohydrodynamics and magnetodynamics , 2007, 0704.3206.
[35] S. F. Davis. Simplified second-order Godunov-type methods , 1988 .
[36] A. Ferrari,et al. Formation of dynamical structures in relativistic jets: the FRI case , 2008, 0806.1648.
[37] Noh's constant-velocity shock problem revisited , 1997 .