An adaptive finite element method for inviscid compressible flow
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 (C) 2010 John Wiley & Sons, Ltd.
adaptive finite element method compressible euler equations a posteriori error estimation dual problem circular cylinder wedge sphere