Mixed-finite element and finite volume discretization for heavy brine simulations in groundwater
نویسندگان
چکیده
منابع مشابه
Control-volume Mixed Finite Element Methods
A key ingredient in simulation of ow in porous media is accurate determination of the velocities that drive the ow. Large-scale irregularities of the geology (faults, fractures, and layers) suggest the use of irregular grids in simulation. This paper presents a control-volume mixed nite element method that provides a simple, systematic, easily implemented procedure for obtaining accurate veloci...
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We study the relationship between finite volume and mixed finite element methods for the the hyperbolic conservation laws, and the closely related convection-diffusion equations.A general framework is proposed for the derivation and a functional framework is developed which could allow the analysis of relating finite volume (FV) schemes. We show via two nonstandard formulations, that numerous F...
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As a model problem for the miscible and imiscible two phase ow we consider the following system of partial diierential equations: ?div (a(c; x) (rp(x; t) + (c; x))) = 0 @tc(x; t) + div (u(x; t)c(x; t)) ? div (rc(x;t)) = f(x; t); with (x; t) 2 (0; T). Here u denotes the Darcy velocity, p the pressure and c the concentration of one phase of the uid. For small diiusions (0 < < < 1) standard Galerk...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2002
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(02)00433-8