Mesh regularization for an ALE code based on the limitation of the Lagrangian mesh velocity

Autor: Joris Costes, Jérôme Breil, Jean-Michel Ghidaglia
Rok vydání: 2017
Předmět:
Zdroj: International Journal for Numerical Methods in Fluids. 85:599-615
ISSN: 0271-2091
Popis: Summary The Lagrangian approach is usually used for the simulation of flow with strong shock waves. Moreover, this approach is particularly well suited to treatment of material interfaces in the case of multi-material flows. Unfortunately, this formulation leads to very large deformations in the mesh [1]. The Arbitrary Lagrangian Eulerian (ALE) method overcomes this drawback by using a mesh regularization that is based on an analysis of cell geometry, e.g. [2]. The regularization step may be considered as a method used to correct the non-convex and potentially tangled cells that constitute the mesh. In this paper we present a new approach to mesh regularization. Instead of using a purely geometric criterion we propose that the mesh evolution is computed based on the flow vorticity. This approach is called the L.E.L. method (Large Eddy Limitation) and it is aimed here to be used in Finite Volume direct ALE methods. The L.E.L. method is general, which means that it is not restricted to applications in the Finite Volume framework dedicated to fluid flow simulation; for instance, it could also be naturally applied to the Finite Element framework. This article is protected by copyright. All rights reserved.
Databáze: OpenAIRE
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