✦ LIBER ✦

Weak consistency of the cell-centered Lagrangian GLACE scheme on general meshes in any dimension

✍ Scribed by Bruno Després

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 516 KB
Volume: 199
Category: Article
ISSN: 0045-7825
DOI: 10.1016/j.cma.2010.05.010

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✦ Synopsis

We study the consistency in the weak sense of the cell-centered Lagrangian scheme GLACE. The main result is that GLACE is weakly consistent on general meshes in any dimension. The proof relies on a new formula for some geometric vectors defined at the corners of the cell, and which are basic Lagrangian objects. It validates theoretically the use of isoparametric elements (based on Q 1 integration) for 3D Lagrangian compressible gas dynamics calculations. Finally we give the result of a simple convergence test in 2D.

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✍ Robert Eymard; Raphaèle Herbin 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 102 KB

This Note presents a new finite volume scheme for the Stokes equations on general non-structured meshes. A convergence result is presented, and an error estimate is given when the solution is regular enough.