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An adaptive finite element method for inviscid compressible flow
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.ORCID iD: 0000-0003-4256-0463
2010 (English)In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 64, no 10-12, 1102-1128 p.Article in journal (Refereed) Published
Abstract [en]

We present an adaptive finite element method for the compressible Euler equations, based on a posteriori error estimation of a quantity of interest in terms of a dual problem for the linearized equations. Continuous piecewise linear approximation is used in space and time, with componentwise weighted least-squares stabilization of convection terms and residual-based shock-capturing. The adaptive algorithm is demonstrated numerically for the quantity of interest being the drag force on a body.

Place, publisher, year, edition, pages
2010. Vol. 64, no 10-12, 1102-1128 p.
Keyword [en]
adaptive finite element method, a posteriori error estimation, dual problem, compressible euler equations, circular cylinder, wedge, sphere
National Category
Computer Science
Identifiers
URN: urn:nbn:se:kth:diva-101030DOI: 10.1002/fld.2335ISI: 000285261400004Scopus ID: 2-s2.0-78649669322OAI: oai:DiVA.org:kth-101030DiVA: diva2:547909
Conference
15th International Conference on Finite Elements in Flow Problems, APR 01-03, 2009, Tokyo, JAPAN
Note

QC 20120829

Available from: 2012-08-29 Created: 2012-08-22 Last updated: 2017-12-07Bibliographically approved

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Hoffman, Johan

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