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Volumn 98, Issue 3, 1996, Pages 301-316

Resolution of the system of equations of ideal magnetohydrodynamics by a finite volume kinetic-type method

Author keywords

[No Author keywords available]

Indexed keywords

KINETIC THEORY; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; MATHEMATICAL TECHNIQUES; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0030289864     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/0010-4655(96)00095-1     Document Type: Article
Times cited : (3)

References (28)
  • 2
    • 0004058410 scopus 로고
    • Aspects of unstructured grids and finite-volume solvers for the Euler and Navier-Stokes equations
    • Special course on unstructured grids methods for advection dominated flows, May
    • T.J. Barth, Aspects of unstructured grids and finite-volume solvers for the Euler and Navier-Stokes equations, AGARD-FDP-VKI Report 787, Special course on unstructured grids methods for advection dominated flows, May 1992.
    • (1992) AGARD-FDP-VKI Report 787
    • Barth, T.J.1
  • 3
    • 30244477026 scopus 로고    scopus 로고
    • personal communication
    • F. Bouchut, personal communication.
    • Bouchut, F.1
  • 4
    • 45449121905 scopus 로고
    • An upwind differencing scheme for the equations of ideal magnetohydrodynamics
    • M. Brio and C.C. Wu, An upwind differencing scheme for the equations of ideal magnetohydrodynamics. J. Comput. Phys. 75 (1988) 400-422.
    • (1988) J. Comput. Phys. , vol.75 , pp. 400-422
    • Brio, M.1    Wu, C.C.2
  • 6
    • 0000008663 scopus 로고
    • A higher-order Godunov method for the equations of ideal magnetohydrodynamics
    • P. Colella and A.L. Zachary, A higher-order Godunov method for the equations of ideal magnetohydrodynamics, J. Comput. Phys. 99 (1992) 341-347.
    • (1992) J. Comput. Phys. , vol.99 , pp. 341-347
    • Colella, P.1    Zachary, A.L.2
  • 7
    • 0029277387 scopus 로고
    • Numerical simulation of the MHD equations by a kinetic-type method
    • J.P. Croisille, R. Khanfir and G. Chanteur, Numerical simulation of the MHD equations by a kinetic-type method, J. Sci. Comput. 10 (1995) 81-92.
    • (1995) J. Sci. Comput. , vol.10 , pp. 81-92
    • Croisille, J.P.1    Khanfir, R.2    Chanteur, G.3
  • 8
    • 28144445934 scopus 로고
    • An approximate Riemann solver for ideal magnetohydrodynamics
    • W. Dai and P.R. Woodward, An approximate Riemann solver for ideal magnetohydrodynamics, J. Comput. Phys. 111 (1994) 354-372.
    • (1994) J. Comput. Phys. , vol.111 , pp. 354-372
    • Dai, W.1    Woodward, P.R.2
  • 9
    • 0005055367 scopus 로고
    • Multidimensional upwind methods for unstructured grids
    • Special course on unstructured grids methods for advection dominated flows, May
    • H. Deconninck, R. Struijs, G. Bourgois, H. Paillère and P.L. Roe, Multidimensional upwind methods for unstructured grids, AGARD-FDP-VKI Report 787, Special course on unstructured grids methods for advection dominated flows, May 1992.
    • (1992) AGARD-FDP-VKI Report 787
    • Deconninck, H.1    Struijs, R.2    Bourgois, G.3    Paillère, H.4    Roe, P.L.5
  • 10
    • 0003018067 scopus 로고
    • Triangle based TVD schemes for hyperbolic conservation laws
    • L.J. Durlofsky, S. Osher and B. Engquist, Triangle based TVD schemes for hyperbolic conservation laws, J. Comput. Phys. 98 (1992) 64-73.
    • (1992) J. Comput. Phys. , vol.98 , pp. 64-73
    • Durlofsky, L.J.1    Osher, S.2    Engquist, B.3
  • 11
    • 0029291046 scopus 로고
    • Finite element simulation of a turbulent MHD system: Comparison to a pseudo-spectral simulation
    • R. de Fainchtein, S.Z. Zalesak, R.L. Löhner and D.S. Spicer, Finite element simulation of a turbulent MHD system: comparison to a pseudo-spectral simulation, Comput. Phys. Commun. 86 (1995) 25-39.
    • (1995) Comput. Phys. Commun. , vol.86 , pp. 25-39
    • De Fainchtein, R.1    Zalesak, S.Z.2    Löhner, R.L.3    Spicer, D.S.4
  • 12
    • 0000876320 scopus 로고
    • On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
    • A. Harten, P.D. Lax and B. Van Leer, On upstream differencing and Godunov-type schemes for hyperbolic conservation laws, SIAM Rev. 25(1) (1983) 35-61.
    • (1983) SIAM Rev. , vol.25 , Issue.1 , pp. 35-61
    • Harten, A.1    Lax, P.D.2    Van Leer, B.3
  • 17
    • 0001122106 scopus 로고
    • A new semi-implicit method for MHD computations
    • K. Lerbinger and J.F. Luciani, A new semi-implicit method for MHD computations, J. Comput. Phys. 97 (1991) 444-459.
    • (1991) J. Comput. Phys. , vol.97 , pp. 444-459
    • Lerbinger, K.1    Luciani, J.F.2
  • 18
    • 0000955565 scopus 로고
    • Boltzmann type schemes for gas dynamics and the entropy property
    • B. Perthame, Boltzmann type schemes for gas dynamics and the entropy property, SIAM J. Num. Anal. 27 (1990) 1405-1421.
    • (1990) SIAM J. Num. Anal. , vol.27 , pp. 1405-1421
    • Perthame, B.1
  • 19
    • 0026818681 scopus 로고
    • Second order Boltzmann schemes for compressible Euler equations in one and two space dimensions
    • B. Perthame, Second order Boltzmann schemes for compressible Euler equations in one and two space dimensions, SIAM J. Num. Anal. 29 (1992) 1-19.
    • (1992) SIAM J. Num. Anal. , vol.29 , pp. 1-19
    • Perthame, B.1
  • 20
    • 0018964750 scopus 로고
    • Direct simulation methods for compressible inviscid ideal-gas flow
    • D.I. Pullin, Direct simulation methods for compressible inviscid ideal-gas flow, J. Comput. Phys. 34 (1980) 231-244.
    • (1980) J. Comput. Phys. , vol.34 , pp. 231-244
    • Pullin, D.I.1
  • 21
    • 0001149597 scopus 로고
    • The possible relation of 3-kiloparsec arm to explosion in the galactic nucleus
    • R.H. Sanders and K.H. Prendergast, The possible relation of 3-kiloparsec arm to explosion in the galactic nucleus, Astrophys. J. 188 (1974).
    • (1974) Astrophys. J. , vol.188
    • Sanders, R.H.1    Prendergast, K.H.2
  • 23
  • 24
    • 4243869796 scopus 로고
    • ZEUS-2D: A radiation magnetohydrodynamics code for astrophysical flows in two space dimensions. II The magneto-hydrodynamic algorithms and tests
    • J.M. Stone and M.L. Norman, ZEUS-2D: A radiation magnetohydrodynamics code for astrophysical flows in two space dimensions. II The magneto-hydrodynamic algorithms and tests, Astrophys. J. 80 (1992) 791-818.
    • (1992) Astrophys. J. , vol.80 , pp. 791-818
    • Stone, J.M.1    Norman, M.L.2
  • 25
    • 30244450945 scopus 로고
    • Finite volume TVD schemes
    • Tanaka, Finite volume TVD schemes, Comput. Flu. Dyn. J. (1992) 1-14.
    • (1992) Comput. Flu. Dyn. J. , pp. 1-14
    • Tanaka1
  • 26
    • 30244536875 scopus 로고
    • Computation of inviscid supersonic flows using adaptative meshes
    • Antibes, France, eds. Desideri and J. Periaux Springer, Berlin
    • P. Vankeirsbilck and H. Deconinck, Computation of inviscid supersonic flows using adaptative meshes, in: Proc. Int. Workshop on Hypersonic Flows for Reentry Problems, Antibes, France, eds. Desideri and J. Periaux (Springer, Berlin, 1990) pp. 22-25.
    • (1990) Proc. Int. Workshop on Hypersonic Flows for Reentry Problems , pp. 22-25
    • Vankeirsbilck, P.1    Deconinck, H.2
  • 27
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme V. A second order sequel to Godunov's method
    • B. Van Leer, Towards the ultimate conservative difference scheme V. A second order sequel to Godunov's method, J. Comput. Phys. 32 (1979) 101-136.
    • (1979) J. Comput. Phys. , vol.32 , pp. 101-136
    • Van Leer, B.1


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