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A multi-material ReALE method with MOF interface reconstruction. (English) Zbl 1290.76094
Summary: We present a comparison of a classical arbitrary Lagrangian-Eulerian (ALE) method with a new multi-material reconnection-based arbitrary-Lagrangian-Eulerian (Re-ALE) strategy devoted to the computation of multi-material compressible fluid flows using the Moment Of Fluid (MOF) interface reconstruction. In ReALE we replace the rezoning phase of classical ALE method by a rezone where we allow the connectivity between cells of the mesh to change where rezoned grid is a polygonal mesh. Nevertheless, the ability of pure Lagrangian method to deal with multi-material problem, where mesh is aligned with material interfaces, is lost. In this work we have implemented MOF interface reconstruction on polygonal mesh in ReALE framework. This leads to a formulation that recover the Lagrangian features of following material and material interface that we lose using standard ALE methods with fixed connectivity. Some numerical examples, are used to clearly illustrate the robustness and accuracy of the new method.

76M20 Finite difference methods applied to problems in fluid mechanics
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
76N15 Gas dynamics (general theory)
Full Text: DOI
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