Abstract

The material interface is tracked by solving the arbitrary Lagrangian-Eulerian (ALE) formulation during the simulation of the compressible multi-material flow. The material interface is looked upon as a Lagrangian interface which can move freely and is composed of a number of edges of the unstructured grids and the state vectors of the points on the interface have two different definitions corresponding to the two different fluids. Then, Riemann problem is solved by the two-shock approximation method for general form of equation of state on both sides of the interface to track the interface accurately and the grids are moving automatically with the motion of the interface. The 1D spherically symmetric underwater explosion model is computed by using ALE method and the numerical results agree well with the experimental data, which indicates that the interface tracking method is reasonable. Furthermore, interaction between shock and water surface is also simulated to show that this method is suitable for solving microdeforming interface problem.

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