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Publication 17-CNA-022

Control Volume Approximation Of Degenerate Two Phase Porous Flows

Thomas J. Murphy
Department of Mathematics
Carnegie Mellon University
Pittsburgh, PA 15213

Noel J. Walkington
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213

Abstract: Implicit Euler approximations of the equations governing the porous ow of two imiscible incompressible fluids are shown to be the Euler-Lagrange equations of a convex function. Tools from convex analysis are then used to develop robust fully discrete algorithms for their numerical approximation. Existence and uniqueness of solutions control volume approximations are established.

Get the paper in its entirety as  17-CNA-022.pdf

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