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

✍ Scribed by Hervé Guillard; Charbel Farhat

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
473 KB
Volume
190
Category
Article
ISSN
0045-7825

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✦ Synopsis

The objective of this paper is to establish a ®rm theoretical basis for the enforcement of discrete geometric conservation laws (D-GCLs) while solving ¯ow 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 speci®cally, we prove that satisfying an appropriate D-GCL is a sucient condition for a numerical scheme to be at least ®rst-order time-accurate on moving meshes.

📜 SIMILAR VOLUMES

The Discrete Geometric Conservation Law
The Discrete Geometric Conservation Law and the Nonlinear Stability of ALE Schemes for the Solution of Flow Problems on Moving Grids
✍ Charbel Farhat; Philippe Geuzaine; Céline Grandmont 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 278 KB

Discrete geometric conservation laws (DGCLs) govern the geometric parameters of numerical schemes designed for the solution of unsteady flow problems on moving grids. A DGCL requires that these geometric parameters, which include among others grid positions and velocities, be computed so that the co