Stable Schemes for Hyperbolic Systems with Moving Internal Boundaries.
TEL-AVIV UNIV (ISRAEL) DEPT OF MATHEMATICAL SCIENCES
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This paper summarizes some of the results of previous work, which extends Kreiss stability theory of difference schemes for the mixed initial boundary value problem for linear hyperbolic systems to the case of the pure initial value problem with an internal boundary that moves with constant speed. In this paper the authors present results concerning a particular hybrid scheme which uses the Lax-Wendroff approximation at points that are not on the internal boundary. At the boundary, a first order scheme is used which is a combination of the Lax-Wendroff and the Lax-Friedrichs approximations. Numerical evidence is given that the results of the linear stability analysis describe the qualitative behavior of such schemes for non-linear cases, when the internal boundary is a shock. Author
- Numerical Mathematics