An adaptive finite element method for the compressible Euler equations
2010 (English)In: INT J NUMER METHOD FLUID, 2010, Vol. 64, no 10-12, 1102-1128 p.Conference paper (Refereed)
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
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-25412OAI: oai:DiVA.org:kth-25412DiVA: diva2:358023
15th International Conference on Finite Elements in Flow Problems Tokyo, JAPAN, APR 01-03, 2009
QC 201010202010-10-202010-10-202012-01-16Bibliographically approved