Treffer: A modified space-time finite element method for simulation of immiscible incompressible two-phase flow in heterogeneous porous media

Title:
A modified space-time finite element method for simulation of immiscible incompressible two-phase flow in heterogeneous porous media
Authors:
FERDOWSI, P. A, MANZARI, Mehrdad T
Source:
Finite element for flow problems (FEF) 2005: Part 2International journal for numerical methods in fluids. 53(8):1221-1242
Publisher Information:
Chichester: Wiley, 2007.
Publication Year:
2007
Physical Description:
print, 29 ref
Original Material:
INIST-CNRS
Subject Terms:
Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des fluides, Fluid dynamics, Méthodes de calcul en mécanique des fluides, Computational methods in fluid dynamics, Ecoulements non homogènes, Nonhomogeneous flows, Ecoulements polyphasiques et suspensions de particules, Multiphase and particle-laden flows, Ecoulements en milieu poreux, Flows through porous media, Algorithme, Algorithms, Ecoulement diphasique, Two-phase flow, Ecoulement milieu poreux, Porous medium flow, Equation convection diffusion, Convection diffusion equation, Ecuación convección difusión, Fluide non miscible, Immiscible fluid, Fluido no miscible, Milieu hétérogène, Inhomogeneous media, Modèle espace temps, Space-time model, Modélisation, Modelling, Mécanique fluide numérique, Computational fluid dynamics, Méthode élément fini, Finite element method, Simulation numérique, Digital simulation, 4755K, 4755M, heterogeneous, immiscible, incompressible, porous media, space-time element, two-phase
Time:
4711
Document Type:
Konferenz Conference Paper
File Description:
text
Language:
English
Author Affiliations:
School of Mechanical Engineering, Sharif University of Technology, Tehran 11365-3567, Iran, Islamic Republic of
ISSN:
0271-2091
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=18579091
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Physics: fluid mechanics
Accession Number:
edscal.18579091
Database:
PASCAL Archive

Weitere Informationen

In this paper, a modified space-time method is presented for the simulation of convection-diffusion equations. The new method differs from the original space-time method in the sense that the weight functions for space and time are different. The performance of the proposed algorithm is studied for numerical simulation of incompressible immiscible two-phase flow in porous media. The governing equations consist of one conservation of mass equation for each phase, the Darcy law and one capillary-saturation correlation for the flow. By defining a global pressure, the governing equations lead to a system of nonlinear equations in terms of this global pressure, the velocity components and the saturation of one phase. The flow equations are solved for the global pressure and velocity components using a stabilized mixed finite element method while the saturation equation is solved by the standard and modified space-time element methods. The performance of the proposed space-time method is compared with that of the original Petrov-Galerkin space-time method for both linear and nonlinear cases. The effect of the tuning parameters of the standard method, grid size and the capillary pressure are studied for a one-dimensional problem. A stability analysis is also carried out for the proposed space-time method. Finally, to demonstrate the capability of the proposed method in dealing with homogeneous and heterogeneous problems two-dimensional water-flooding five-spot test cases are studied.