Regularization of a discrete scheme governing the three-dimensional evolution of a fluid-fluid interface |
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Authors: | D. N. Nikol’skii |
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Affiliation: | (1) Marathon Petroleum Egypt Ltd, PO Box 52, 11431 Maadi, Egypt;(2) Marathon International Oil Co. — Egypt, PO Box 1228, 77251-1228 Houston, TX, USA |
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Abstract: | A regularized discrete scheme is developed that describes the three-dimensional evolution of the interface between fluids with different viscosities and densities in the Leibenzon-Muskat model. The regularization is achieved by smoothing the kernel of the singular integral involved in the differential equation governing the moving interface. The discrete scheme is tested by solving the problem of a drop of one fluid evolving in a translational flow of another. |
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