Goal-oriented mesh adaptation in an industrial stabilized finite element Navier-Stokes code

Abstract

This chapter describes Dassault Aviation's contribution to Workpackage 5 of the ADIGMA Project. The adjoint operator developed in the framework of optimum design is used to estimate the error in the solution with respect to a given target quantity. Local values of this error estimation are used as a criterion to refine the mesh. This yields significant improvement over traditional criteria based on the residual or on gradients of physical quantities. The method is carefully tested using inviscid, transonic, laminar, and high Reynolds number turbulent flows. © 2010 Springer-Verlag Berlin Heidelberg.