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.
Full text (pdf)
@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
}