Treffer: Numerical convergence of the MPFA O-method and U-method for general quadrilateral grids

Title:
Numerical convergence of the MPFA O-method and U-method for general quadrilateral grids
Authors:
AAVATSMARK, I, EIGESTAD, G. T
Source:
Finite element for flow problems (FEF) 2005: Part 1International journal for numerical methods in fluids. 51(9-10):939-961
Publisher Information:
Chichester: Wiley, 2006.
Publication Year:
2006
Physical Description:
print, 22 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, Anisotropie, Anisotropy, Convergence numérique, Numerical convergence, Convergencia numérica, Hétérogénéité, Inhomogeneity, Mécanique fluide numérique, Computational fluid dynamics, Méthode discrétisation, Discretization method, Método discretización, Méthode multipoint, Multipoint method, Método multipunto, anisotropy, control-volume discretization, convergence, inhomogeneity
Document Type:
Konferenz Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Center for Integrated Petroleum Research, University of Bergen, P.O. Box 7800, 5020 Bergen, Norway
ISSN:
0271-2091
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=17957761
Rights:
Copyright 2006 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.17957761
Database:
PASCAL Archive

Weitere Informationen

Control-volume discretization methods are applicable for problems that require good numerical approximations of fluxes. Here, a class of flux-continuous discretization methods, denoted multipoint flux approximation methods (MPFA), is discussed, and two different approaches are derived. The resulting discrete equations use pressures as the only unknowns, and the fluxes will be given explicitly as weighted sums of the discrete pressures. The two methods are denoted the O-method and the U-method, respectively, and differ in the way that continuity requirements are embedded in the discrete equations. Numerical tests are provided for smooth problems and problems with discontinuous coefficients for both the O-method and the U-method. Convergence rates of the methods are indicated through numerical experiments on smooth and rough grids.