This article is cited in 6 papers

Numerical simulation of the dynamics of non-uniform compressible media based on the CIP-CUP method on dynamically adaptive Soroban grids

A. A. Aganin, T. S. Guseva

Research Institute of Mechanics and Machinery of Kazan Scientific Center of the Russian Academy of Sciences, Kazan, Russia

Abstract: We compare the efficiency of the CIP-CUP method on a stationary uniform staggered grid and the modifications of this method on a non-staggered dynamically adaptive Soroban grid and a non-staggered stationary uniform grid in their use for computing problems of wave propagation in uniform (liquid) and non-uniform (with the presence of gas–gas and gas–liquid contact boundaries) media. We show that as compared with the initial version of the CIP-CUP method on a stationary uniform staggered grid, its modification on a Soroban grid allows one to conduct computations with similar or even higher accuracy and to apply significantly smaller number of grid vertices. The modification of the CIP-CUP method on a stationary uniform non-staggered grid is least efficient. Moreover, it can lead to non-monotonic solutions.

Keywords: shock waves, non-uniform medium, CIP-CUP method, adaptive Soroban grids.

UDC: 519.6+532+533

Received: 24.03.2014