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Volumn 192, Issue 1, 2003, Pages 73-94

Non-uniform convergence of finite volume schemes for Riemann problems of ideal magnetohydrodynamics

Author keywords

Finite volume methods; Hyperbolic partial differential equations; Intermediate waves; Magnetohydrodynamics; Riemann problem

Indexed keywords

FINITE VOLUME METHOD; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PHASE SPACE METHODS; SPACE FLIGHT;

EID: 0242679688     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(03)00347-4     Document Type: Article
Times cited : (42)

References (35)
  • 1
    • 0029671744 scopus 로고    scopus 로고
    • Numerical solutions of one-dimensional MHD equations by a fluctuation approach
    • N. Aslan, Numerical solutions of one-dimensional MHD equations by a fluctuation approach, Int. J. Numer. Methods Fluids 22 (7) (1996) 569.
    • (1996) Int. J. Numer. Methods Fluids , vol.22 , Issue.7 , pp. 569
    • Aslan, N.1
  • 2
    • 0030161576 scopus 로고    scopus 로고
    • Shock-capturing approach and non-evolutionary solutions in magnetohydro-dynamics
    • A.A. Barmin, A.G. Kulikovskiy, N.V. Pogorelov, Shock-capturing approach and non-evolutionary solutions in magnetohydro-dynamics, J. Comp. Phys. 126 (1996) 77.
    • (1996) J. Comp. Phys. , vol.126 , pp. 77
    • Barmin, A.A.1    Kulikovskiy, A.G.2    Pogorelov, N.V.3
  • 3
    • 0001786838 scopus 로고    scopus 로고
    • An entropic solver for ideal Langrangian magnetohydrodynamics
    • F. Bezard, B. Despres, An entropic solver for ideal Langrangian magnetohydrodynamics, J. Comp. Phys. 154 (1999) 65.
    • (1999) J. Comp. Phys. , vol.154 , pp. 65
    • Bezard, F.1    Despres, B.2
  • 4
    • 45449121905 scopus 로고
    • An upwind differencing scheme for the equations of ideal magnetohydrodynamics
    • M. Brio, C.C. Wu, An upwind differencing scheme for the equations of ideal magnetohydrodynamics, J. Comp. Phys. 75 (1988) 400.
    • (1988) J. Comp. Phys. , vol.75 , pp. 400
    • Brio, M.1    Wu, C.C.2
  • 5
    • 0031571997 scopus 로고    scopus 로고
    • Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws
    • P. Cargo, G. Gallice, Roe matrices for ideal MHD and systematic construction of Roe matrices for systems of conservation laws, J. Comp. Phys. 136 (1997) 446.
    • (1997) J. Comp. Phys. , vol.136 , pp. 446
    • Cargo, P.1    Gallice, G.2
  • 6
    • 28144445934 scopus 로고
    • An approximate riemann solver for ideal magnetohydrodynamics
    • W. Dai, P.R. Woodward, An approximate riemann solver for ideal magnetohydrodynamics, J. Comp. Phys. 111 (1994) 354.
    • (1994) J. Comp. Phys. , vol.111 , pp. 354
    • Dai, W.1    Woodward, P.R.2
  • 7
    • 0042487895 scopus 로고
    • Extension of the piecewise parabolic method to multidimensional ideal magnetohydrodynamics
    • W. Dai, P.R. Woodward, Extension of the piecewise parabolic method to multidimensional ideal magnetohydrodynamics, J. Comp. Phys. 115 (2) (1994) 485.
    • (1994) J. Comp. Phys. , vol.115 , Issue.2 , pp. 485
    • Dai, W.1    Woodward, P.R.2
  • 8
    • 0003161948 scopus 로고
    • A simple Riemann solver and high-order Godunov schemes for hyperbolic systems of conservation laws
    • W. Dai, P.R. Woodward, A simple Riemann solver and high-order Godunov schemes for hyperbolic systems of conservation laws, J. Comp. Phys. 121 (4) (1995) 51.
    • (1995) J. Comp. Phys. , vol.121 , Issue.4 , pp. 51
    • Dai, W.1    Woodward, P.R.2
  • 9
    • 0032203547 scopus 로고    scopus 로고
    • A high-order iterative implicit-explicit scheme for multidimensional magnetohydrodynamics
    • W. Dai, P.R. Woodward, A high-order iterative implicit-explicit scheme for multidimensional magnetohydrodynamics, SIAM J. Sci. Comput. 19 (6) (1998) 1827.
    • (1998) SIAM J. Sci. Comput. , vol.19 , Issue.6 , pp. 1827
    • Dai, W.1    Woodward, P.R.2
  • 10
    • 0033707361 scopus 로고    scopus 로고
    • Intermediate shocks in three-dimensional magnetohydrodynamic bow-shock flows with multiple interacting shock fronts
    • H. De Sterck, S. Poedts, Intermediate shocks in three-dimensional magnetohydrodynamic bow-shock flows with multiple interacting shock fronts, Phys. Rev. Let. 84 (24) (2000) 5524.
    • (2000) Phys. Rev. Let. , vol.84 , Issue.24 , pp. 5524
    • De Sterck, H.1    Poedts, S.2
  • 11
    • 39449137468 scopus 로고    scopus 로고
    • Disintegration and reformation of intermediate shock segments in three-dimensional MHD bow shock flows
    • H. De Sterck, S. Poedts, Disintegration and reformation of intermediate shock segments in three-dimensional MHD bow shock flows, J. Geophys. Res. 106 (2001).
    • (2001) J. Geophys. Res. , vol.106
    • De Sterck, H.1    Poedts, S.2
  • 12
    • 0000950658 scopus 로고    scopus 로고
    • Complex magnetohydrodynamic bow shock topology in field-aligned low-beta flow around a perfectly conducting cylinder
    • H. De Sterck, B.C. Low, S. Poedts, Complex magnetohydrodynamic bow shock topology in field-aligned low-beta flow around a perfectly conducting cylinder, Phys. Plasmas 11 (5) (1998) 4015.
    • (1998) Phys. Plasmas , vol.11 , Issue.5 , pp. 4015
    • De Sterck, H.1    Low, B.C.2    Poedts, S.3
  • 15
    • 0043140167 scopus 로고    scopus 로고
    • On the inadmissibility of non-evolutionary shocks
    • S.A.E.G. Falle, S.S. Komissarov, On the inadmissibility of non-evolutionary shocks, J. Plasma Phys. 65 (2001) 29.
    • (2001) J. Plasma Phys. , vol.65 , pp. 29
    • Falle, S.A.E.G.1    Komissarov, S.S.2
  • 16
    • 0000986770 scopus 로고
    • A numerical study of a rotationally degenerate hyperbolic system Part 1: The Riemann problem
    • H. Freistühler, E.B. Pitman, A numerical study of a rotationally degenerate hyperbolic system Part 1: The Riemann problem, J. Comp. Phys. 100 (1992) 306.
    • (1992) J. Comp. Phys. , vol.100 , pp. 306
    • Freistühler, H.1    Pitman, E.B.2
  • 17
    • 0343208895 scopus 로고
    • Existence and bifurcation of viscous profiles for all intermediate magnetohydrodynamic shock waves
    • H. Freistühler, P. Szmolyan, Existence and bifurcation of viscous profiles for all intermediate magnetohydrodynamic shock waves, SIAM J. Math. Anal. 26 (1) (1995) 112.
    • (1995) SIAM J. Math. Anal. , vol.26 , Issue.1 , pp. 112
    • Freistühler, H.1    Szmolyan, P.2
  • 20
    • 0001116632 scopus 로고    scopus 로고
    • A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics
    • G.S. Jiang, C.C. Wu, A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics, J. Comp. Phys. 150 (2) (1999) 561.
    • (1999) J. Comp. Phys. , vol.150 , Issue.2 , pp. 561
    • Jiang, G.S.1    Wu, C.C.2
  • 23
    • 0031247889 scopus 로고    scopus 로고
    • Shock waves and rarefaction waves in magnetohydrodynamics. Part 1. A model system
    • R.S. Myong, P.L. Roe, Shock waves and rarefaction waves in magnetohydrodynamics. Part 1. A model system, J. Plasma Phys. 58 (3) (1997) 485.
    • (1997) J. Plasma Phys. , vol.58 , Issue.3 , pp. 485
    • Myong, R.S.1    Roe, P.L.2
  • 24
    • 0031248910 scopus 로고    scopus 로고
    • Shock waves and rarefaction waves in magnetohydrodynamics. Part 2. The MHD system
    • R.S. Myong, P.L. Roe, Shock waves and rarefaction waves in magnetohydrodynamics. Part 2. The MHD system, J. Plasma Phys. 58 (3) (1997) 521.
    • (1997) J. Plasma Phys. , vol.58 , Issue.3 , pp. 521
    • Myong, R.S.1    Roe, P.L.2
  • 25
    • 28144455569 scopus 로고
    • Non-oscillatory central differencing for hyperbolic conservation laws
    • H. Nessyahu, E. Tadmor, Non-oscillatory central differencing for hyperbolic conservation laws, J. Comp. Phys. 87 (1990) 408.
    • (1990) J. Comp. Phys. , vol.87 , pp. 408
    • Nessyahu, H.1    Tadmor, E.2
  • 27
    • 11944265404 scopus 로고
    • Numerical magnetohydrodynamics in astrophysics: Algorithm and tests for one-dimensional flow
    • D. Ryu, T.W. Jones, Numerical magnetohydrodynamics in astrophysics: algorithm and tests for one-dimensional flow, Astrophys. J. 452 (1995) 228.
    • (1995) Astrophys. J. , vol.452 , pp. 228
    • Ryu, D.1    Jones, T.W.2
  • 28
    • 0011982257 scopus 로고    scopus 로고
    • A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics
    • H.Z. Tang, K. Xu, A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics, J. Comp. Phys. 165 (1) (2000) 68.
    • (2000) J. Comp. Phys. , vol.165 , Issue.1 , pp. 68
    • Tang, H.Z.1    Xu, K.2
  • 29
    • 0242718378 scopus 로고    scopus 로고
    • Uniqueness conditions for riemann problems of ideal magnetohydrodynamics
    • M. Torrilhon, Uniqueness conditions for riemann problems of ideal magnetohydrodynamics, J. Plasma Phys. 69 (3) (2003) 253.
    • (2003) J. Plasma Phys. , vol.69 , Issue.3 , pp. 253
    • Torrilhon, M.1
  • 30
    • 0242465764 scopus 로고    scopus 로고
    • Exact solver for Riemann problems of ideal magnetohydrodynamics
    • Research report 2002-06, Seminar for Applied Mathematics, ETH Zurich
    • M. Torrilhon, Exact solver for Riemann problems of ideal magnetohydrodynamics, Research report 2002-06, Seminar for Applied Mathematics, ETH Zurich, 2002.
    • (2002)
    • Torrilhon, M.1
  • 31
    • 0036453188 scopus 로고    scopus 로고
    • Efficient MHD riemann solvers for simulations on unstructured triangular grids
    • M. Wesenberg, Efficient MHD riemann solvers for simulations on unstructured triangular grids, J. Numer. Math. 10 (2002) 37.
    • (2002) J. Numer. Math. , vol.10 , pp. 37
    • Wesenberg, M.1
  • 32
    • 0000740140 scopus 로고
    • Formation, structure, and stability of MHD intermediate shocks
    • C.C. Wu, Formation, structure, and stability of MHD intermediate shocks, J. Geophys. Res. (space physics) 95 (6) (1990) 8149.
    • (1990) J. Geophys. Res. (Space Physics) , vol.95 , Issue.6 , pp. 8149
    • Wu, C.C.1
  • 33
    • 84989530074 scopus 로고
    • Structural relations for time-dependent intermediate shocks
    • C.C. Wu, C.F. Kennel, Structural relations for time-dependent intermediate shocks, Geophys. Res. Lett. 19 (20) (1992) 2087.
    • (1992) Geophys. Res. Lett. , vol.19 , Issue.20 , pp. 2087
    • Wu, C.C.1    Kennel, C.F.2
  • 34
    • 0007370432 scopus 로고
    • Magnetohydrodynamic riemann problem and the structure of the magnetic reconnection layer
    • C.C. Wu, Magnetohydrodynamic riemann problem and the structure of the magnetic reconnection layer, J. Geophys. Res. (space physics) 100 (4) (1995) 5579.
    • (1995) J. Geophys. Res. (Space Physics) , vol.100 , Issue.4 , pp. 5579
    • Wu, C.C.1
  • 35
    • 0000128492 scopus 로고
    • A higher-order Godunov method for multidimensional ideal magnetohydrodynamics
    • A.L. Zachary, A. Malagoli, P. Colella, A higher-order Godunov method for multidimensional ideal magnetohydrodynamics, SIAM J. Sci. Comput. 15 (2) (1994).
    • (1994) SIAM J. Sci. Comput. , vol.15 , Issue.2
    • Zachary, A.L.1    Malagoli, A.2    Colella, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.