메뉴 건너뛰기




Volumn 228, Issue 3, 2009, Pages 641-660

Splitting based finite volume schemes for ideal MHD equations

Author keywords

Conservation laws; Divergence constraint; Induction equation; MHD; Upwinded source terms

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; PHYSICAL PROPERTIES;

EID: 57649129177     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.09.027     Document Type: Article
Times cited : (31)

References (29)
  • 1
    • 0001690874 scopus 로고    scopus 로고
    • A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
    • Balsara D.S., and Spicer D. A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations. J. Comp. Phys. 149 2 (1999) 270-292
    • (1999) J. Comp. Phys. , vol.149 , Issue.2 , pp. 270-292
    • Balsara, D.S.1    Spicer, D.2
  • 3
    • 30344483198 scopus 로고    scopus 로고
    • Convergence of the locally divergence free discontinuous Galerkin methods for induction equations for the 2D-MHD system
    • Besse N., and Kröner D. Convergence of the locally divergence free discontinuous Galerkin methods for induction equations for the 2D-MHD system. M2AN Math. Model. Num. Anal. 39 6 (2005) 1177-1202
    • (2005) M2AN Math. Model. Num. Anal. , vol.39 , Issue.6 , pp. 1177-1202
    • Besse, N.1    Kröner, D.2
  • 4
    • 35548939884 scopus 로고    scopus 로고
    • A multi-wave approximate Riemann solver for ideal MHD based on relaxation I- theoretical framework
    • Bouchut F., Klingenberg C., and Waagan K. A multi-wave approximate Riemann solver for ideal MHD based on relaxation I- theoretical framework. Numer. Math. 108 1 (2007) 7-42
    • (2007) Numer. Math. , vol.108 , Issue.1 , pp. 7-42
    • Bouchut, F.1    Klingenberg, C.2    Waagan, K.3
  • 5
    • 0001689247 scopus 로고
    • The effect of nonzero div B on the numerical solution of the magnetohydrodynamic equations
    • Brackbill J.U., and Barnes D.C. The effect of nonzero div B on the numerical solution of the magnetohydrodynamic equations. J. Comp. Phys. 35 (1980) 426-430
    • (1980) J. Comp. Phys. , vol.35 , pp. 426-430
    • Brackbill, J.U.1    Barnes, D.C.2
  • 6
    • 0031571997 scopus 로고    scopus 로고
    • Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws
    • Cargo P., and Gallice G. Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws. J. Comp. Phys. 136 2 (1997) 446-466
    • (1997) J. Comp. Phys. , vol.136 , Issue.2 , pp. 446-466
    • Cargo, P.1    Gallice, G.2
  • 7
    • 0001580138 scopus 로고    scopus 로고
    • A simple finite difference scheme for multi-dimensional magnetohydrodynamic equations
    • Dai W., and Woodward P.R. A simple finite difference scheme for multi-dimensional magnetohydrodynamic equations. J. Comp. Phys. 142 2 (1998) 331-369
    • (1998) J. Comp. Phys. , vol.142 , Issue.2 , pp. 331-369
    • Dai, W.1    Woodward, P.R.2
  • 8
    • 0001394094 scopus 로고
    • On the Godunov type methods for gas dynamics
    • Einfeldt B. On the Godunov type methods for gas dynamics. SIAM.J. Num. Anal. 25 2 (1988) 294-318
    • (1988) SIAM.J. Num. Anal. , vol.25 , Issue.2 , pp. 294-318
    • Einfeldt, B.1
  • 9
    • 0000194504 scopus 로고    scopus 로고
    • Simulation of magnetohydrodynamic flow: a constrained transport method
    • Evans C., and Hawley J.F. Simulation of magnetohydrodynamic flow: a constrained transport method. Astrophys. J. 332 (1998) 659
    • (1998) Astrophys. J. , vol.332 , pp. 659
    • Evans, C.1    Hawley, J.F.2
  • 10
    • 85189837342 scopus 로고    scopus 로고
    • F. Fuchs, K.H. Karlsen, S. Mishra, N.H. Risebro, Stable upwind schemes for the Magnetic Induction equation. Math. Model. Num. Anal,. Available on conservation laws preprint server, submitted for publication, URL: .
    • F. Fuchs, K.H. Karlsen, S. Mishra, N.H. Risebro, Stable upwind schemes for the Magnetic Induction equation. Math. Model. Num. Anal,. Available on conservation laws preprint server, submitted for publication, URL: .
  • 11
    • 0001849199 scopus 로고
    • The symmetric form of magnetohydrodynamics equation
    • Godunov S.K. The symmetric form of magnetohydrodynamics equation. Num. Meth. Mech. Cont. Media 1 (1972) 26-34
    • (1972) Num. Meth. Mech. Cont. Media , vol.1 , pp. 26-34
    • Godunov, S.K.1
  • 12
    • 10244232990 scopus 로고    scopus 로고
    • An HLLC-type approximate Riemann solver for ideal Magneto-hydro dynamics
    • Gurski K.F. An HLLC-type approximate Riemann solver for ideal Magneto-hydro dynamics. SIAM. J. Sci. Comp. 25 6 (2004) 2165-2187
    • (2004) SIAM. J. Sci. Comp. , vol.25 , Issue.6 , pp. 2165-2187
    • Gurski, K.F.1
  • 13
    • 0022663140 scopus 로고
    • A new finite element formulation for CFD I: symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
    • R Hughes T.J., Franca L.P., and Mallet M. A new finite element formulation for CFD I: symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics. Comp. Meth. Appl. Mech. Engg. 54 (1986) 223-234
    • (1986) Comp. Meth. Appl. Mech. Engg. , vol.54 , pp. 223-234
    • R Hughes, T.J.1    Franca, L.P.2    Mallet, M.3
  • 14
    • 39749118078 scopus 로고    scopus 로고
    • Semi-Goudunov schemes for systems of conservation laws
    • Karlsen K.H., Mishra S., and Risebro N.H. Semi-Goudunov schemes for systems of conservation laws. J. Eng. Math. 60 (2007) 337-349
    • (2007) J. Eng. Math. , vol.60 , pp. 337-349
    • Karlsen, K.H.1    Mishra, S.2    Risebro, N.H.3
  • 16
    • 85189840924 scopus 로고    scopus 로고
    • T.J. Linde, A three adaptive multi fluid MHD model for the heliosphere, Ph.D Thesis, University of Michigan, Ann-Arbor, 1998.
    • T.J. Linde, A three adaptive multi fluid MHD model for the heliosphere, Ph.D Thesis, University of Michigan, Ann-Arbor, 1998.
  • 17
    • 34249875147 scopus 로고    scopus 로고
    • Pluto: a numerical code for computational astrophysics
    • Mignone A., et al. Pluto: a numerical code for computational astrophysics. Astrophys. J. Suppl. 170 (2007) 228-242
    • (2007) Astrophys. J. Suppl. , vol.170 , pp. 228-242
    • Mignone, A.1
  • 18
    • 19044396045 scopus 로고    scopus 로고
    • A multi-state HLL approximate Riemann solver for ideal magneto hydro dynamics
    • Miyoshi T., and Kusano K. A multi-state HLL approximate Riemann solver for ideal magneto hydro dynamics. J. Comp. Phys. 208 1 (2005) 315-344
    • (2005) J. Comp. Phys. , vol.208 , Issue.1 , pp. 315-344
    • Miyoshi, T.1    Kusano, K.2
  • 19
    • 85189837464 scopus 로고    scopus 로고
    • K.G. Powell, An approximate Riemann solver for magneto-hydro dynamics (that works in more than one space dimension), Technical Report, vol. 94 -24, ICASE, Langley, VA, 1994.
    • K.G. Powell, An approximate Riemann solver for magneto-hydro dynamics (that works in more than one space dimension), Technical Report, vol. 94 -24, ICASE, Langley, VA, 1994.
  • 21
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors and difference schemes
    • Roe P.L. Approximate Riemann solvers, parameter vectors and difference schemes. J. Comput. Phys. 43 (1981) 357-372
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 22
    • 0030087226 scopus 로고    scopus 로고
    • Notes on the eigensystem of magnetohydrodynamics
    • Roe P.L., and Balsara D.S. Notes on the eigensystem of magnetohydrodynamics. SIAM. J. Appl. Math. 56 1 (1996) 57-67
    • (1996) SIAM. J. Appl. Math. , vol.56 , Issue.1 , pp. 57-67
    • Roe, P.L.1    Balsara, D.S.2
  • 23
    • 85189839972 scopus 로고    scopus 로고
    • J. Rossmanith, A wave propagation method with constrained transport for shallow water and ideal magnetohydrodynamics, Ph.D Thesis, University of Washington, Seattle, 2002.
    • J. Rossmanith, A wave propagation method with constrained transport for shallow water and ideal magnetohydrodynamics, Ph.D Thesis, University of Washington, Seattle, 2002.
  • 24
    • 0012381666 scopus 로고    scopus 로고
    • A divergence free upwind code for multidimensional magnetohydrodynamic flows
    • Ryu D.S., Miniati F., Jones T.W., and Frank A. A divergence free upwind code for multidimensional magnetohydrodynamic flows. Astrophys. J. 509 1 (1998) 244-255
    • (1998) Astrophys. J. , vol.509 , Issue.1 , pp. 244-255
    • Ryu, D.S.1    Miniati, F.2    Jones, T.W.3    Frank, A.4
  • 27
    • 23944450981 scopus 로고    scopus 로고
    • Constraint-preserving upwind methods for multidimensional advection equations
    • Torrilhon M., and Fey M. Constraint-preserving upwind methods for multidimensional advection equations. SIAM.J. Num. Anal. 42 4 (2004) 1694-1728
    • (2004) SIAM.J. Num. Anal. , vol.42 , Issue.4 , pp. 1694-1728
    • Torrilhon, M.1    Fey, M.2
  • 28
    • 23944469080 scopus 로고    scopus 로고
    • Locally divergence preserving upwind finite volume schemes for magnetohyrodynamic equations
    • Torrilhon M. Locally divergence preserving upwind finite volume schemes for magnetohyrodynamic equations. SIAM. J. Sci. Comp. 26 4 (2005) 1166-1191
    • (2005) SIAM. J. Sci. Comp. , vol.26 , Issue.4 , pp. 1166-1191
    • Torrilhon, M.1
  • 29
    • 0346046827 scopus 로고    scopus 로고
    • The div B = 0 constraint in shock capturing magnetohydrodynamics codes
    • Toth G. The div B = 0 constraint in shock capturing magnetohydrodynamics codes. J. Comp. Phys. 161 (2000) 605-652
    • (2000) J. Comp. Phys. , vol.161 , pp. 605-652
    • Toth, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.