Stabilized finite element methods for miscible displacement in porous media
Abstract
The miscible displacement of one incompressible fluid by another is governed by a system of pressure and concentration equations. The pressure equation is elliptic, while the concentration equation is parabolic but normally convection-dominated. In this paper, we present and analyze extensions of stabilized finite element methods for steady convection-diffusion problems to the systems of miscible displacement. An analysis is first given for the concentration equation for a given velocity field and then extended to the general case where the velocity is obtained by solving the pressure equation with a mixed finite element method. In both cases, stability and error estimates for the methods are given.
Degree
Ph.D.
Advisors
Douglas, Purdue University.
Subject Area
Mathematics
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