Name
Abstract | ||
|---|---|---|
A new approximate Riemann solver for the equations of magnetohydrodynamics (MHD) with an isothermal equation of state is presented. The proposed method of solution draws on the recent work of Miyoshi and Kusano, in the context of adiabatic MHD, where an approximate solution to the Riemann problem is sought in terms of an average constant velocity and total pressure across the Riemann fan. This allows the formation of four intermediate states enclosed by two outermost fast discontinuities and separated by two rotational waves and an entropy mode. In the present work, a corresponding derivation for the isothermal MHD equations is presented. It is found that the absence of the entropy mode leads to a different formulation which is based on a three-state representation rather than four. Numerical tests in one and two dimensions demonstrate that the new solver is robust and comparable in accuracy to the more expensive linearized solver of Roe, although considerably faster. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.jcp.2007.01.033 | J. Comput. Physics |
Keywords | Field | DocType |
entropy mode,riemann fan,new solver,hll,approximate riemann solver,isothermal,new approximate riemann solver,hlld,approximate solution,magnetohydrodynamics,expensive linearized solver,riemann problem,accurate riemann solver,isothermal mhd equation,isothermal equation,adiabatic mhd,pacs:,riemann solver,two dimensions,equation of state,astrophysics | Adiabatic process,Equation of state,Mathematical optimization,Mathematical analysis,Roe solver,Riemann hypothesis,Solver,Numerical analysis,Mathematics,Riemann problem,Riemann solver | Journal |
Volume | Issue | ISSN |
225 | 2 | Journal of Computational Physics |
Citations | PageRank | References |
1 | 0.38 | 1 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andrea Mignone | 1 | 36 | 4.45 |