Workshop on

numerical methods for multiscale problems

 

     
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  Jens Eberhard: Coarse graining and multigrid for flow in porous media

Many scientific problems involve multiple scales and multi-scale phenomena. A prominent multi-scale medium is the subsurface of the earth. We focus on flow in heterogeneous porous media. The fine-scale structure significantly influences the coarse-scale properties of the system. But the computational effort to resolve the fine scale often exceeds the power of computers. We propose a method called Coarse Graining to smooth multi-scale processes and to derive expressions for resolution dependent model parameters. This method can also be used in a multigrid solver to generate the coarse grid operators. We discuss such an algebraic multgrid method and give first results.
Impressum
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