An adaptive finite element method for inviscid compressible flow
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
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.
adaptive finite element method, a posteriori error estimation, dual problem, compressible euler equations, circular cylinder, wedge, sphere
IdentifiersURN: urn:nbn:se:kth:diva-101030DOI: 10.1002/fld.2335ISI: 000285261400004ScopusID: 2-s2.0-78649669322OAI: oai:DiVA.org:kth-101030DiVA: diva2:547909
15th International Conference on Finite Elements in Flow Problems, APR 01-03, 2009, Tokyo, JAPAN
QC 201208292012-08-292012-08-222012-08-29Bibliographically approved