Modified Method of Characteristics Combined with Finite Volume Element Methods for Incompressible Miscible Displacement Problems in Porous Media
2014 ◽
Vol 2014
◽
pp. 1-16
Keyword(s):
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.
2013 ◽
Vol 04
(03)
◽
pp. 1350013
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2012 ◽
Vol 29
(3)
◽
pp. 897-915
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1984 ◽
Vol 47
(1-2)
◽
pp. 73-92
◽
2011 ◽
Vol 28
(4)
◽
pp. 1354-1381
◽
2013 ◽
Vol 2013
◽
pp. 1-7
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