Adjoint error estimation for residual based discretizations of hyperbolic conservation laws I : linear problems
نویسندگان
چکیده
The current work concerns the study and the implementation of a modern algorithm for error estimation in CFD computations. This estimate involves the dealing of the adjoint argument. By solving the adjoint problem, it is possible to obtain important information about the transport of the error towards the quantity of interest. The aim is to apply for the first time this procedure into Petrov-Galerkin (PG) method. Streamline Upwind Petrov-Galerkin, stabilised Residual Distribution and bubble method are involved for the implementation. Scalar linear hyperbolic problems are used as test cases. Key-words: Error Estimation, adjoint problem, Petrov-Galerkin method, Residual Distribution scheme, advection-reaction problem ∗ Aeronautics and aerospace department, von Karman Institute for Fluid Dynamics, Belgium † INRIA Bordeaux Sud-Ouest, Equipe BACCHUS ‡ INRIA Bordeaux Sud-Ouest, Equipe BACCHUS § Aeronautics and aerospace department, von Karman Institute for Fluid Dynamics, Belgium in ria -0 05 91 66 6, v er si on 5 19 D ec 2 01 1 Adjoint error estimation for residual based discretizations of hyperbolic conservation laws I : linear problems Résumé : The current work concerns the study and the implementation of a modern algorithm for error estimation in CFD computations. This estimate involves the dealing of the adjoint argument. By solving the adjoint problem, it is possible to obtain important information about the transport of the error towards the quantity of interest. The aim is to apply for the first time this procedure into Petrov-Galerkin (PG) method. Streamline Upwind Petrov-Galerkin, stabilised Residual Distribution and bubble method are involved for the implementation. Scalar linear hyperbolic problems are used as test cases. Mots-clés : Error Estimation, adjoint problem, Petrov-Galerkin method, Residual Distribution scheme, advection-reaction problem in ria -0 05 91 66 6, v er si on 5 19 D ec 2 01 1
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