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A finite element time relaxation method
Université de Pau.
University of Sussex.
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
2011 (English)In: Comptes rendus. Mathematique, ISSN 1631-073X, Vol. 349, no 5-6, 353-356 p.Article in journal (Refereed) Published
Abstract [en]

We discuss a finite element time-relaxation method for high Reynolds number flows. The method uses local projections on polynomials defined on macroelements of each pair of two elements sharing a face. We prove that this method shares the optimal stability and convergence properties of the continuous interior penalty (CIP) method. We give the formulation both for the scalar convection-diffusion equation and the time-dependent incompressible Euler equations and the associated convergence results. This note finishes with some numerical illustrations.

Place, publisher, year, edition, pages
2011. Vol. 349, no 5-6, 353-356 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15812DOI: 10.1016/j.crma.2010.12.010ISI: 000289015900025OAI: oai:DiVA.org:hj-15812DiVA: diva2:440347
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2012-02-06Bibliographically approved

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