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An adaptive finite element method for inviscid compressible flow
Author(s) -
Nazarov Murtazo,
Hoffman Johan
Publication year - 2010
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2335
Subject(s) - inviscid flow , mathematics , euler equations , finite element method , a priori and a posteriori , compressible flow , compressibility , piecewise , piecewise linear function , backward euler method , generalized minimal residual method , flow (mathematics) , drag , euler's formula , mathematical analysis , linear system , classical mechanics , mechanics , geometry , physics , philosophy , epistemology , thermodynamics
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. Copyright © 2010 John Wiley & Sons, Ltd.