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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2007

Simulation of Interacting Discontinious Solutions on Dynamically Adaptive Grids

  • P.V. Breslavsky EMAIL logo and V.I. Mazhukin


A further development of the dynamic adaptation method for gas dy- namic problems describing multiple interactions of the shock waves, rarefaction waves, and contact boundaries are considered. By the test Woodward — Colella problem the efficiency of the proposed method for solving problems of gas dynamics with explicit definition of shock waves and contact boundaries is shown. For the problem solution mechanism of the adaptation of diffusion type is used. A choice of the adaptation coeffi- cient for obtaining solution in each of subdomains of quasiuniform grid is substantiated. The discontinuities interaction between each other is solved by the Riemann problem. Application of the dynamic adaptation method allowed obtaining solution in 420 cells which practically coincides with the results of WENO5m method in 12800 cells.

Received: 2006-08-01
Revised: 2007-03-02
Accepted: 2007-04-21
Published Online: 2007
Published in Print: 2007

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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