A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov
暂无分享,去创建一个
[1] P. Colella. A Direct Eulerian MUSCL Scheme for Gas Dynamics , 1985 .
[2] Richard Liska,et al. Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations , 2003, SIAM J. Sci. Comput..
[3] B. V. Leer,et al. Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .
[4] P. Woodward,et al. The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations , 1984 .
[5] S. Osher,et al. Propagation of error into regions of smoothness for non-linear approximations to hyperbolic equations , 1990 .
[6] Mark H. Carpenter,et al. Computational Considerations for the Simulation of Shock-Induced Sound , 1998, SIAM J. Sci. Comput..
[7] P. Colella. Multidimensional upwind methods for hyperbolic conservation laws , 1990 .
[8] Chi-Wang Shu. Total-variation-diminishing time discretizations , 1988 .
[9] Chi-Wang Shu,et al. Strong Stability-Preserving High-Order Time Discretization Methods , 2001, SIAM Rev..
[10] S. Osher,et al. Weighted essentially non-oscillatory schemes , 1994 .
[11] S. Osher,et al. Uniformly high order accurate essentially non-oscillatory schemes, 111 , 1987 .
[12] E. Puckett,et al. A High-Order Godunov Method for Multiple Condensed Phases , 1996 .
[13] H. Huynh,et al. Accurate Monotonicity-Preserving Schemes with Runge-Kutta Time Stepping , 1997 .
[14] Phillip Colella,et al. Higher order Godunov methods for general systems of hyperbolic conservation laws , 1989 .
[15] Chi-Wang Shu. Numerical experiments on the accuracy of ENO and modified ENO schemes , 1990 .
[16] Stanley Osher,et al. Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations , 1977 .
[17] G. Sod. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws , 1978 .
[18] P. Woodward,et al. The numerical simulation of two-dimensional fluid flow with strong shocks , 1984 .
[19] J. Saltzman,et al. An unsplit 3D upwind method for hyperbolic conservation laws , 1994 .
[20] Dinshaw S. Balsara,et al. Total Variation Diminishing Scheme for Adiabatic and Isothermal Magnetohydrodynamics , 1998 .
[21] H. Huynh. Accurate upwind methods for the Euler equations , 1995 .
[22] S. Osher,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .
[23] Chi-Wang Shu,et al. Efficient Implementation of Weighted ENO Schemes , 1995 .