An approximation of incompressible miscible displacement in porous media by mixed finite elements and symmetric finite volume element method of characteristics

2012 ◽  
Vol 29 (3) ◽  
pp. 897-915 ◽  
Author(s):  
Zhe Yin ◽  
Hongxing Rui ◽  
Qiang Xu
Keyword(s):  
Porous Media ◽  
Finite Elements ◽  
Finite Volume ◽  
Method Of Characteristics ◽  
Mixed Finite Elements ◽  
Miscible Displacement ◽  
Volume Element ◽  
Finite Volume Element Method ◽  
Finite Volume Element ◽  
Element Method

scholarly journals Modified Method of Characteristics Combined with Finite Volume Element Methods for Incompressible Miscible Displacement Problems in Porous Media

2014 ◽  
Vol 2014 ◽  
pp. 1-16
Author(s):  
Sarvesh Kumar ◽  
Sangita Yadav
Keyword(s):  
Porous Media ◽  
Finite Volume ◽  
Method Of Characteristics ◽  
Miscible Displacement ◽  
Volume Element ◽  
Modified Method ◽  
Finite Volume Element ◽  
Velocity Equation ◽  
Modified Method Of Characteristics ◽  
Concentration Equation

The incompressible miscible displacement problem in porous media is modeled by a coupled system of two nonlinear partial differential equations, the pressure-velocity equation and the concentration equation. In this paper, we present a mixed finite volume element method (FVEM) for the approximation of the pressure-velocity equation. Since modified method of characteristics (MMOC) minimizes the grid orientation effect, for the approximation of the concentration equation, we apply a standard FVEM combined with MMOC. A priori error estimates in L∞(L2) norm are derived for velocity, pressure and concentration. Numerical results are presented to substantiate the validity of the theoretical results.

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