An extended HLLC Riemann solver for the magneto-hydrodynamics including strong internal magnetic field

被引：23

作者：

Guo, Xiaocheng ^{[1
]}

机构：

[1] Univ Alabama, Ctr Space Plasma & Aeronom Res, Huntsville, AL 35899 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2015年 / 290卷

关键词：

HLL; HLLC; Internal magnetic field; MHD; Magnetosphere; Riemann solver; 3-DIMENSIONAL MHD SIMULATION; CONSERVATION-LAWS; SCHEME; SYSTEMS; EULER;

D O I：

10.1016/j.jcp.2015.02.048

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

By revisiting the derivation of the previously developed HLLC Riemann solver for magneto-hydrodynamics (MHD), the paper presents an extended HLLC Riemann solver specifically designed for the MHD system in which the magnetic field can be decomposed into a strong internal magnetic field and an external component. The derived HLLC Riemann solver satisfies the conservation laws. The numerical tests show that the extended solver deals with the global MHD simulation of the Earth's magnetosphere well, and maintains high numerical resolution. It recovers the previously developed HLLC Riemann solver for the MHD as long as the internal field is set to zero. Thus, it is backward compatible with the previous HLLC solver, and suitable for the MHD simulations no matter whether a strong internal magnetic field is included or not. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：352 / 363

页数：12

共 40 条

[1] Multidimensional Riemann problem with self-similar internal structure. Part II - Application to hyperbolic conservation laws on unstructured meshes [J].

Balsara, Dinshaw S. ;

Dumbser, Michael .

JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 287 :269-292

[2] Multidimensional Riemann problem with self-similar internal structure. Part I - Application to hyperbolic conservation laws on structured meshes [J].

Balsara, Dinshaw S. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 277 :163-200

[3] Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows [J].

Balsara, Dinshaw S. ;

Dumbser, Michael ;

Abgrall, Remi .

JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 261 :172-208

[4] A two-dimensional HLLC Riemann solver for conservation laws: Application to Euler and magnetohydrodynamic flows [J].

Balsara, Dinshaw S. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (22) :7476-7503

[5] Multidimensional HLLE Riemann solver: Application to Euler and magnetohydrodynamic flows [J].

Balsara, Dinshaw S. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (06) :1970-1993

[6] Linearized formulation of the Riemann problem for adiabatic and isothermal magnetohydrodynamics [J].

Balsara, DS .

ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 1998, 116 (01) :119-131

[7] On the choice of wavespeeds for the HLLC Riemann solver [J].

Batten, P ;

Clarke, N ;

Lambert, C ;

Causon, DM .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1997, 18 (06) :1553-1570

[8] AN UPWIND DIFFERENCING SCHEME FOR THE EQUATIONS OF IDEAL MAGNETOHYDRODYNAMICS [J].

BRIO, M ;

WU, CC .

JOURNAL OF COMPUTATIONAL PHYSICS, 1988, 75 (02) :400-422

[9] Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws [J].

Cargo, P ;

Gallice, G .

JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 136 (02) :446-466

[10] Solar wind driving of magnetospheric ULF waves: Pulsations driven by velocity shear at the magnetopause [J].

Claudepierre, S. G. ;

Elkington, S. R. ;

Wiltberger, M. .

JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS, 2008, 113 (A5)

← 1 2 3 4 →