Total energy conservation in ALE schemes for compressible flows

Alain Dervieux
(INRIA, BP93, 06902 Sophia-Antipolis, France)
Charbel Farhat
(Stanford University)
Bruno Koobus
(Université de Montpellier)
Mariano Vázquez
(Barcelona Supercomputing center)


Article in European Journal of Computational Mechanics, 2010 (28 pages)

Abstract: 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.

Keywords: Arbitrary Lagrangian Eulerian, compressible flow, spatial discretization, discrete geometric conservation law, total energy conservation.

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@article{DFKV10,
  author = {Dervieux, A. and Farhat, C. and Koobus, B. and V\'azquez, M.},
  title = {Total energy conservation in {ALE} schemes for compressible flows},
  journal = {European Journal of Computational Mechanics},
  volume = {19:4},
  pages = {337-363},
  year = 2010
}