A two-scale operator-splitting method for two-phase flow in porous media |
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Authors: | Y Cao R HelmigB Wohlmuth |
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Institution: | a Institute of Hydraulic Engineering, Department of Hydromechanics and Modeling of Hydrosystems, University of Stuttgart, Pfaffenwaldring 61, 70569 Stuttgart, Germany b Centre for Mathematical Sciences, Technical University of Munich, Boltzmannstr. 3, 85748 Garching, Germany |
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Abstract: | In this paper, we develop a two-scale operator-splitting method for the classical two-phase flow model, which handles advective and diffusive processes on different grids. The aim is to reduce computational complexity without loss of accuracy by using the numerical flexibility of operator-splitting techniques. To enhance the stability and the robustness with regards to sharp fronts, an additional slope limiter is introduced as a local post-processing step. For simplicity of notation, we provide the method in one dimension first and then generalize it to higher dimensions. Numerical examples illustrate the effect of the slope-limiting step and show the performance and flexibility of the proposed two-scale method. |
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Keywords: | Two-scale approach Operator splitting Slope limiter Two-phase flow |
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