Total energy conservation in ALE schemes for compressible flows

被引：0

作者：

Dervieux A. ^{[1
]}

Farhat C. ^{[2
]}

Koobus B. ^{[3
]}

Vázquez M. ^{[4
]}

机构：

[1] INRIA, Projet Tropics, 06902 Sophia-Antipolis cedex

[2] Dept of Mechanical Engineering, Institute for Computational and Mathematical Engineering, Stanford University

[3] Mathématiques, Université de Montpellier II, CC.051

[4] CASE Dpt. Barcelona Supercomputing Center BSC-CNS, 08034 Barcelona

来源：

European Journal of Computational Mechanics | 2010年 / 19卷 / 04期

关键词：

Arbitrary Lagrangian Eulerian; Compressible flow; Discrete geometric conservation law; Spatial discretization; Total energy conservation;

D O I：

10.3166/ejcm.19.337-363

中图分类号：

学科分类号：

摘要：

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. © 2010 Lavoisier, Paris.

引用

页码：337 / 363

页数：26

共 23 条

[1] Cournede P.-H., Koobus B., Dervieux A., Positivity statements for a Mixed-Element-Volume scheme on fixed and moving grids, Revue Européenne des Eléments Finis, 15, 7-8, pp. 767-799, (2006)
[2] Dubuc L., Cantariti F., Woodgate M., Gribben B., Badcock K., Richards B., A grid deformation technique for unsteady flow computations, Journal = "int. J. Num. Meth. Fluids, 32, pp. 285-311, (2000)
[3] Fanion T., Fernandez M., Le Tallec P., Deriving Adequate Formulations for Fluid Structure Interaction Problems : from ALE to Transpiration, Revue Européenne des Eléments Finis, 9, 6-7, pp. 681-708, (2000)
[4] Farhat C., High performance simulation of coupled nonlinear transient aeroelastic problems, Special Course on Parallel Computing in CFD. No R-807, (1995)
[5] Farhat C., High performance simulation of coupled nonlinear transient aeroelastic problems", type = "special course on parallel computing in CFD, Technical Report No R-807, (1995)
[6] Farhat C., Geuzaine P., Grandmont C., The Discrete Geometric Conservation Law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids, J. of Computational Physics, 174, pp. 669-694, (2001)
[7] Farhat C., Lesoinne M., Two efficient staggered procedures for the serial and parallel solution of three-dimensional nonlinear transient aeeroelastic problems, Comp. Meths. Appl. Mech. Eng, 182, 3-4, pp. 499-515, (2000)
[8] Farhat C., Lesoinne M., Le Tallec P., Load and motion transfer algorithms for Fluid/Structure iteraction problems with Non-Matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity, Journal = "comp. Meth. Appl. Mech. Eng, 157, pp. 95-114, (1998)
[9] Fernandez M.A., Le Tallec P., Un nouveau problème spectral en interaction fluide-structure avec transpiration, Comptes Rendus Mathematique, 334, 2, pp. 167-172, (2002)
[10] Grandmont C., Maday Y., Fluid-structure interaction: A theoretical point of view, Revue Européenne des Eléments Finis, 9, 6-7, pp. 633-654, (2000)

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