Open AccessTotal energy conservation in ALE schemes for compressible flows
Author(s) -
Alain Dervieux,
Charbel Farhat,
Bruno Koobus,
Mariano Vázquez
Publication year - 2010
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/ejcm.19.337-363
Subject(s) - compressibility , conservation law , compressible flow , finite volume method , conservation of energy , eulerian path , mathematics , domain (mathematical analysis) , energy conservation , flow (mathematics) , vertex (graph theory) , fluid–structure interaction , lagrangian , physics , mechanics , finite element method , mathematical analysis , geometry , graph , engineering , discrete mathematics , electrical engineering , thermodynamics
The numerical prediction of interaction phenomena between a compressible flow model with a moving domain and other physical models requires that the work performed on the fluid is properly translated into total fluid energy variation. We present a numerical model relying on an Arbitrary Lagrangian-Eulerian (ALE) unstructured vertex-centered finite volume that satisfies this condition together with the Geometric Conservation Law. We apply this numerical scheme to the solution of a 3D fluid-structure interaction problem. The results are contrasted with those obtained by the energy non-conservative counterpart.