Evaluation of Different Strategies for Goal Oriented Adaptivity in CFD -- Part I: The Stationary Case

  • Martin Baumann (Author)
    Engineering Mathematics and Computing Lab (EMCL), Interdisciplinary Center for Scientific Computing (IWR), Heidelberg University
  • Vincent Heuveline (Author)
    Engineering Mathematics and Computing Lab (EMCL), Interdisciplinary Center for Scientific Computing (IWR), Heidelberg University

Abstract

Many goal oriented adaptive methods are based on a characterization of the error with respect to a user-defined functional. This error can be quantified by means of a dual solution, but depends on unknown quantities. Different strategies exist to recover the sensitivity information that go along with the approximation of these unknowns. In this paper a systematical comparison of such evaluation strategies with respect to the corresponding efficiency and reliability of the computable error estimators is presented. The investigation is based on two CFD scenarios with analytically known exact solution of the stationary incompressible Navier-Stokes equations.

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The Engineering Mathematics and Computing Lab (EMCL), directed by Prof. Dr. Vincent Heuveline, is a research group at the Interdisciplinary Center for Scientific Computing (IWR).

The EMCL Preprint Series contains publications that were accepted for the Preprint Series of the EMCL and are planned to be published in journals, books, etc. soon.

The EMCL Preprint Series was published under the roof of the Karlsruhe Institute of Technology (KIT) until April 30, 2013. As from May 01, 2013 it is published under the roof of Heidelberg University.

Published
2010-07-01
Language
en