A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
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[1] B. Vanleer,et al. Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .
[2] P. Colella. Multidimensional upwind methods for hyperbolic conservation laws , 1990 .
[3] P. Colella,et al. A second-order projection method for the incompressible navier-stokes equations , 1989 .
[4] P. Woodward,et al. The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations , 1984 .
[5] J. Michael Picone,et al. Evolution of the Orszag-Tang vortex system in a compressible medium , 1991 .
[6] S. Osher,et al. One-sided difference approximations for nonlinear conservation laws , 1981 .
[7] Phillip Colella,et al. A higher-order Godunov method for the equations of ideal magnetohydrodynamics , 1992 .
[8] P. Roe,et al. On Godunov-type methods near low densities , 1991 .
[9] B. V. Leer,et al. Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .
[10] Tai-Ping Liu,et al. The Riemann problem for general systems of conservation laws , 1975 .
[11] P. Lax. Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves , 1987 .
[12] G. Sod. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws , 1978 .
[13] Phillip Colella,et al. An efficient second-order projection method for viscous incompressible flow , 1991 .
[14] Phillip Colella,et al. Higher order Godunov methods for general systems of hyperbolic conservation laws , 1989 .
[15] P. Colella. A Direct Eulerian MUSCL Scheme for Gas Dynamics , 1985 .
[16] M. Brio,et al. An upwind differencing scheme for the equations of ideal magnetohydrodynamics , 1988 .
[17] P. Lax,et al. On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws , 1983 .
[18] S. Orszag,et al. Small-scale structure of two-dimensional magnetohydrodynamic turbulence , 1979, Journal of Fluid Mechanics.
[19] P. Lax. Weak solutions of nonlinear hyperbolic equations and their numerical computation , 1954 .