A Reduced-Basis Method for solving parameter-dependent convection-diffusion problems around rigid bodies

Conference paper (2006)

Authors

T. Tonn

K. Urban

Convection-diffusion Reduced-basis method Rigid bodies

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Published Date

07-09-2006

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Abstract

We consider a convection-diffusion problem in a box in which rigid bodies are present. The location and orientation of these bodies are subject to a set of parameters. In order to use a reduced basis method, we perform a two-step method. In the first step, we transform the parameter-dependent geometric situation to a reference situation (also mapping the mesh). Then, we use the Empirical Interpolation Method (EIM) in order to separate the parameter from the variables of the pde. We present several numerical results that indicate the efficiency of the method. The corresponding analysis will be presented in a forthcoming paper, [2].

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