• A stabilized mixed finite elem...

Result: A stabilized mixed finite element method for Darcy-Stokes flow

Title:
A stabilized mixed finite element method for Darcy-Stokes flow
Authors:
MASUD, Arif
Source:
Stabilized, multiscale and multiphysics methodsInternational journal for numerical methods in fluids. 54(6-8):665-681
Publisher Information:
Chichester: Wiley, 2007.
Publication Year:
2007
Physical Description:
print, 31 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 en milieu poreux, Flows through porous media, Convergence numérique, Numerical convergence, Convergencia numérica, Ecoulement Stokes, Stokes flow, Flujo Stokes, Ecoulement milieu poreux, Porous medium flow, Fluide incompressible, Incompressible fluid, Fluido incompresible, Fluide visqueux, Viscous fluids, Modélisation, Modelling, Mécanique fluide numérique, Computational fluid dynamics, Méthode échelle multiple, Multiscale method, Método escala múltiple, Méthode élément fini, Finite element method, Simulation numérique, Digital simulation, Stabilité numérique, Numerical stability, 4755M, Brinkman model, arbitrary pressure- velocity interpolations, multiscale finite elements, stabilized methods
Time:
4711
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Civil and Environmental Engineering. University of Illinois at Urbana-Champaign, Urbana. IL 61801, United States
ISSN:
0271-2091
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=18888639
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.18888639
Database:
PASCAL Archive

Further Information

This paper presents a new stabilized finite element method for the Darcy-Stokes equations also known as the Brinkman model of lubrication theory. These equations also govern the flow of incompressible viscous fluids through permeable media. The proposed method arises from a decomposition of the velocity field into coarse/resolved scales and fine/unresolved scales. Modelling of the unresolved scales corrects the lack of stability of the standard Galerkin formulation for the Darcy-Stokes equations. A significant feature of the present method is that the structure of the stabilization tensor T appears naturally via the solution of the fine-scale problem. The issue of arbitrary combinations of pressure-velocity interpolation functions is addressed, and equal-order combinations of C° interpolations are shown to be stable and convergent.