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Explicit streamline diffusion finite-element methods for the compressible Euler equations in conservation variables
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
1993 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 109, no 2, 274-288 p.Article in journal (Refereed) Published
Abstract [en]

The paper concerns the streamline diffusion finite element method applied to one- and two-dimensional gas flow described by the inviscid Euler equations in conservation variables. We point out that the streamline diffusion method is a natural finite element analogue to upstream-type finite difference/volume schemes and in fact constitutes a general framework for a large class of them. We study explicit implementations of the method and derive different choices of stabilizing streamline diffusion matrices; in particular we propose a consistent, fully multidimensional, version. A brief review of the theoretical background to the method is presented, and some numerical results in two dimensions are given.

Place, publisher, year, edition, pages
1993. Vol. 109, no 2, 274-288 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15865DOI: 10.1006/jcph.1993.1217ISI: A1993ML31400010OAI: oai:DiVA.org:hj-15865DiVA: diva2:440266
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2012-02-07Bibliographically approved

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