An approximation of incompressible miscible displacement in porous media by mixed finite element method and characteristics-mixed finite element method
نویسندگان
چکیده
منابع مشابه
A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media
A combined method consisting of the mixed finite element method for flow and the discontinuous Galerkin method for transport is introduced for the coupled system of miscible displacement problem. A “cut-off” operatorM is introduced in the discontinuous Galerkin formular in order to make the combined scheme converge. Optimal error estimates in L(H) for concentration and in L(L) for velocity are ...
متن کاملMixed Finite Element Method for Miscible Displacement Problems in Porous Media
Effective numerical simulation of many EOR problems requires very accurate approximation of the Darcy velocities of the respective fluids. In this paper we describe a new method for the accurate determination of the Darcy velocity of the total fluid in the miscible displacement of one incompressible fluid by another in a porous medium. The new mixed finite-element procedure solves for both the ...
متن کاملAn Approximation of Three-Dimensional Semiconductor Devices by Mixed Finite Element Method and Characteristics-Mixed Finite Element Method
Abstract. The mathematical model for semiconductor devices in three space dimensions are numerically discretized. The system consists of three quasi-linear partial differential equations about three physical variables: the electrostatic potential, the electron concentration and the hole concentration. We use standard mixed finite element method to approximate the elliptic electrostatic potentia...
متن کاملA combined mixed finite element method and local discontinuous Galerkin method for miscible displacement problem in porous media
A combined method consisting of the mixed finite element method for flow and the local discontinuous Galerkin method for transport is introduced for the one dimensional coupled system of incompressible miscible displacement problem. Optimal error estimates in L∞(0, T ;L) for concentration c, in L(0, T ;L) for cx and L ∞(0, T ;L) for velocity u are derived. The main technical difficulties in the...
متن کاملStabilized finite element methods for miscible displacement in porous media
In this paper, we shall dérive a new model for the miscible displacement of one incompressible fluid by another in porous media using simple physical conservation laws For a dilute mixture m which the density can be approximated by a constant, this new model reduces to the standard one used for the last decade The model is governed by a nonlinear system consisting of pressure and concentration ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.09.029