Breslavsky, P. V.; Mazhukin, V. I.
April 2007
Computational Methods in Applied Mathematics;2007, Vol. 7 Issue 2, p103
Academic Journal
A further development of the dynamic adaptation method for gas dynamic 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 coefficient 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.


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