Degenerate two-phase incompressible flow problems III: Perturbation analysis and numerical experiments.
Chen, Zhangxin, Khlopina, Natalia L. (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Continuous-time finite element analysis of multiphase flow in groundwater hydrology”
Degenerate two-phase incompressible flow problems III: Perturbation analysis and numerical experiments.
A numerical approximation of non-Fickian flows with mixing length growth in porous media.
Ewing, R.E., Lin, Y., Wang, J. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Mixed finite element approximation for a coupled petroleum reservoir model
Mohamed Amara, Daniela Capatina-Papaghiuc, Bertrand Denel, Peppino Terpolilli (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper, we are interested in the modelling and the finite element approximation of a petroleum reservoir, in axisymmetric form. The flow in the porous medium is governed by the Darcy-Forchheimer equation coupled with a rather exhaustive energy equation. The semi-discretized problem is put under a mixed variational formulation, whose approximation is achieved by means of conservative Raviart-Thomas elements for the fluxes and of piecewise constant elements for the pressure and...
Mixed-hybrid model of the fracture flow
Maryška, Jiří, Severýn, Otto, Vohralík, Martin
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A parallel algorithm for two phase multicomponent contaminant transport
Todd Arbogast, Clint N. Dawson, Mary F. Wheeler (1995)
Applications of Mathematics
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We discuss the formulation of a simulator in three spatial dimensions for a multicomponent, two phase (air, water) system of groundwater flow and transport with biodegradation kinetics and wells with multiple screens. The simulator has been developed for parallel, distributed memory, message passing machines. The numerical procedures employed are a fully implicit expanded mixed finite element method for flow and either a characteristics-mixed method or a Godunov method for transport...