Flux-Based Approach for Conservative Remap of Multi-Material Quantities in 2D Arbitrary Lagrangian-Eulerian Simulations

Remapping is one of the essential parts of most Arbitrary Lagrangian-Eulerian (ALE) methods. It conservatively interpolates all fluid quantities from the original (Lagrangian) computational mesh to the new (rezoned) one. This paper focuses on the situation when more materials are present in the computational domain – the multi-material remap. We present a new remapping method based on the computation of the material exchange integrals (using intersections), and construction of the inter-cell fluxes of all quantities from them. As we are interested in the staggered ALE, we also briefly discuss the remap of nodal mass and velocity. Properties of the method are demonstrated on a selected numerical example.

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