Print Email Facebook Twitter Aspects of goal-oriented model-error estimation in convection-diffusion problems Title Aspects of goal-oriented model-error estimation in convection-diffusion problems Author Cnossen, J.M. Bijl, H. Gerritsma, M.I. Koren, B. Faculty Aerospace Engineering Date 2006-09-08 Abstract For goal-oriented model adaptation a model-error estimator is required to drive the adaptation process. In recent years publications have appeared on the dual-weighted residual (DWR) method in the application of model-error estimation in output functionals. In this paper we study the application of the DWR method for convection-diffusion problems where hierarchical models are of different type. Omitting the diffusion operator often results in a singular perturbation problem considering the model residual in the limit of vanishing diffusion. This is caused by the change of mathematical type of the model equations and therefore the applied boundary conditions. In this work we show how a model error estimator is developed for steady and unsteady convection-diffusion problems. It is found that a weak formulation and weakly imposing boundary and initial conditions leads to a dual-weighted model-error estimator that also incorporates boundary residuals. Subject model errorhierarchical modellinggoal-oriented error estimationdualweighted residual methodconvection-diffusion problems To reference this document use: http://resolver.tudelft.nl/uuid:5a2ae89d-961a-4251-bc03-c642a2d6d6e4 Publisher Delft University of Technology; European Community on Computational Methods in Applied Sciences (ECCOMAS) ISBN 90-9020970-0 Source ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics, Egmond aan Zee, The Netherlands, September 5-8, 2006 Part of collection Institutional Repository Document type conference paper Rights (c) 2006 The Author(s) Files PDF Cnossen.pdf 1 MB Close viewer /islandora/object/uuid:5a2ae89d-961a-4251-bc03-c642a2d6d6e4/datastream/OBJ/view