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A numerical method for the first-order wave equation with discontinuous initial data |
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| Authors: | Gunilla Efraimsson |
| Abstract: | We introduce a method, constructed such that numerical solutions of the wave equation are well behaved when the solutions also contain discontinuities. The wave equation serves as a model problem for the Euler equations when the solution contains a contact discontinuity. Numerical computations of linear equations and the Euler equations in one and two dimensions are presented. © 1998 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 14: 353–365, 1998 |
| Keywords: | Euler equations contact discontinuity finite difference schemes dispersion first-order wave equation |