Results 191 to 200 of about 22,714,121 (232)
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Analysis, 2021
Abstract This paper is concerned with numerical methods for a coupled system of two partial differential equations (PDEs), modeling flow and transport of a contaminant in porous media. This coupled system, arising in modeling of flow and transport in heterogeneous porous media, includes two types of equations: an elliptic and a diffusion-
El Moutea, Omar, El Amri, Hassan
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Abstract This paper is concerned with numerical methods for a coupled system of two partial differential equations (PDEs), modeling flow and transport of a contaminant in porous media. This coupled system, arising in modeling of flow and transport in heterogeneous porous media, includes two types of equations: an elliptic and a diffusion-
El Moutea, Omar, El Amri, Hassan
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Computer Methods in Applied Mechanics and Engineering, 2003
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Chavent, Guy +2 more
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Chavent, Guy +2 more
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Journal of Computational and Applied Mathematics, 2018
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Yirang Yuan +4 more
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Yirang Yuan +4 more
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Staggered Mixed Finite Volume/Finite Element Method for the Navier-Stokes Equations
AIAA Journal, 1999To solve flow problems associated with the Navier-Stokes equations, we construct a mixed finite volume/finite element method for the spatial approximation of the convective and diffusive parts of the flux, respectively. The finite volume component of the method is adapted from the authors' construction, for hyperbolic conservation laws and rectangular ...
P. Arminjon, A. Madrane
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Convergence of a finite-volume mixed finite-element method for an elliptic-hyperbolic system
IMA Journal of Numerical Analysis, 2003The authors propose a numerical method for equations modelling the flow of two incompressible, immiscible fluids in a porous medium. The elliptic equation for the pressure is approximated by a mixed finite-element method. The geometry of the grid is more general than usual; in particular, the grid cells need not be convex.
Droniou, J. +3 more
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An implicit mixed finite-volume-finite-element method for solving 3D turbulent compressible flows
International Journal for Numerical Methods in Fluids, 1997We extend to turbulent flows an implicit algorithm to solve two- and three-dimensional compressible Navier-Stokes equations on unstructured triangular/tetrahedral grids. This numerical scheme is based on second-order finite element-finite volume discretization: the diffusive and source terms of the Navier-Stokes equations are computed using a finite ...
Hallo, L., Le Ribault, C., Buffat, M.
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2002
An efficient solver for the mixed finite element (MFE) method on 3-D distorted hexahedral cells has been implemented. The method relies on being able to define a divergence-free subspace. The divergence-free subspace is used to eliminate the pressure variable from the set of equations, resulting in a symmetric positive definite system.
J.D. Wilson, R.L. Naff, T.F. Russell
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An efficient solver for the mixed finite element (MFE) method on 3-D distorted hexahedral cells has been implemented. The method relies on being able to define a divergence-free subspace. The divergence-free subspace is used to eliminate the pressure variable from the set of equations, resulting in a symmetric positive definite system.
J.D. Wilson, R.L. Naff, T.F. Russell
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Calcolo, 2005
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.
M. Fortin, A. Serghini Mounim
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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.
M. Fortin, A. Serghini Mounim
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SIAM/ASA Journal on Uncertainty Quantification, 2015
We examine two discretization schemes for solving a pair of parabolic problems with significantly different spatial and temporal scales that are coupled through a common interface: a mixed finite element method which uses a rigorous mortar element technique in both space and time for coupling and a finite volume method which employs popular ad hoc ...
Todd Arbogast +3 more
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We examine two discretization schemes for solving a pair of parabolic problems with significantly different spatial and temporal scales that are coupled through a common interface: a mixed finite element method which uses a rigorous mortar element technique in both space and time for coupling and a finite volume method which employs popular ad hoc ...
Todd Arbogast +3 more
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Numerical Methods for Partial Differential Equations, 2012
AbstractA nonlinear system of two coupled partial differential equations models miscible displacement of one incompressible fluid by another in a porous medium. A sequential implicit time‐stepping procedure is defined, in which the pressure and Darcy velocity of the mixture are approximated by a mixed finite element method and the concentration is ...
Yin, Zhe, Rui, Hongxing, Xu, Qiang
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AbstractA nonlinear system of two coupled partial differential equations models miscible displacement of one incompressible fluid by another in a porous medium. A sequential implicit time‐stepping procedure is defined, in which the pressure and Darcy velocity of the mixture are approximated by a mixed finite element method and the concentration is ...
Yin, Zhe, Rui, Hongxing, Xu, Qiang
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