Multiscale simulations of porous media flows in flow-based coordinate system |
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Authors: | Y Efendiev T Hou T Strinopoulos |
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Institution: | (1) Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA;(2) Applied Mathematics, Caltech, Pasadena, CA 91125, USA |
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Abstract: | In this paper, we propose a multiscale technique for the simulation of porous media flows in a flow-based coordinate system.
A flow-based coordinate system allows us to simplify the scale interaction and derive the upscaled equations for purely hyperbolic
transport equations. We discuss the applications of the method to two-phase flows in heterogeneous porous media. For two-phase
flow simulations, the use of a flow-based coordinate system requires limited global information, such as the solution of single-phase
flow. Numerical results show that one can achieve accurate upscaling results using a flow-based coordinate system. |
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Keywords: | Porous media flow Flow-based coordinate system Two-phase flow Multiscale Upscaling |
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