Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids |
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| Authors: | Andreas Sandvin Jan Martin Nordbotten Ivar Aavatsmark |
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| Institution: | 1.Centre for Integrated Petroleum Research,University of Bergen,Bergen,Norway;2.Department of Mathematics,University of Bergen,Bergen,Norway |
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| Abstract: | Multiscale methods can in many cases be viewed as special types of domain decomposition preconditioners. The localisation
approximations introduced within the multiscale framework are dependent upon both the heterogeneity of the reservoir and the
structure of the computational grid. While previous works on multiscale control volume methods have focused on heterogeneous
elliptic problems on regular Cartesian grids, we have tested the multiscale control volume formulations on two-dimensional
elliptic problems involving heterogeneous media and irregular grid structures. Our study shows that the tangential flow approximation
commonly used within multiscale methods is not suited for problems involving rough grids. We present a more robust mass conservative
domain decomposition preconditioner for simulating flow in heterogeneous porous media on general grids. |
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