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On the significance of the geometric conservation law for flow computations on moving meshes

Abstract : The objective of this paper is to establish a firm theoretical basis for the enforcement of discrete geometric conservation laws (D-GCLs) while solving flow problems with moving meshes. The GCL condition governs the geometric parameters of a given numerical solution method, and requires that these be computed so that the numerical procedure reproduces exactly a constant solution. In this paper, we show that this requirement corresponds to a time-accuracy condition. More specifically, we prove that satisfying an appropriate D-GCL is a sufficient condition for a numerical scheme to be at least first-order time-accurate on moving meshes.
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https://hal.inria.fr/hal-00871722
Contributor : Herve Guillard <>
Submitted on : Thursday, October 10, 2013 - 11:36:19 AM
Last modification on : Friday, July 26, 2019 - 1:44:04 PM

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Hervé Guillard, Charbel Farhat. On the significance of the geometric conservation law for flow computations on moving meshes. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2000, 190 (11-12), pp.1467-1482. ⟨10.1016/S0045-7825(00)00173-0⟩. ⟨hal-00871722⟩

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