Abstract
Two-phase, incompressible miscible flow in prous media is governed by a system of nonlinear partial differential equations. The pressure equation, which is elliptic in appearance, is discretized by a standard five-points difference method. The concentration equation is treated by an implicit finite difference method that applies a form of the method of characteristics to the transport terms. A class of biquadratic interpolation is introduced for the method of characteristics. Convergene rate is proved to be O(Δt+h 2).
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Schedule a callMore From: Applied Mathematics-A Journal of Chinese Universities
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