Numerical methods for multiscale transport equations and application to two-phase porous media flow |
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| Authors: | Xingye Yue Weinan E |
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| Affiliation: | aDepartment of Mathematics, Suzhou University, No. 1 Shizi Street, Suzhou 215006, China;bDepartment of Mathematics and PACM, Princeton University, NJ 08544, USA |
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| Abstract: | ![]()
We discuss numerical methods for linear and nonlinear transport equations with multiscale velocity fields. These methods are themselves multiscaled in nature in the sense that they use macro and micro grids, multiscale test functions. We demonstrate the efficiency of these methods and apply them to two-phase flow in heterogeneous porous media. |
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| Keywords: | Multiscale transport equation Two-phase flow in porous media Numerical methods |
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