Finite volume discretization with imposed flux continuity for the general tensor pressure equation

We present a new family of flux continuous, locally conservative, finite volume schemes applicable to the diagonal and full tensor pressure equations with generally discontinuous coefficients. For a uniformly constant symmetric elliptic tensor field, the full tensor discretization is second order ac...

Full description

Saved in:
Bibliographic Details
Published inComputational geosciences Vol. 2; no. 4; pp. 259 - 290
Main Authors Edwards, Michael G., Rogers, Clive F.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.01.1998
Subjects
Continuity
Convergence
Discretization
Dominance
Flux
Mathematical analysis
Mathematical models
Studies
Tensors
Online AccessGet full text

Cover

More Information
Summary:We present a new family of flux continuous, locally conservative, finite volume schemes applicable to the diagonal and full tensor pressure equations with generally discontinuous coefficients. For a uniformly constant symmetric elliptic tensor field, the full tensor discretization is second order accurate with a symmetric positive definite matrix. For a full tensor, an ^sub M^-matrix with diagonal dominance can be obtained subject to a sufficient condition for ellipticity. Positive definiteness of the discrete system is illustrated. Convergence rates for discontinuous coefficients are presented and the importance of modeling the full permeability tensor pressure equation is demonstrated.[PUBLICATION ABSTRACT]
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-1
ObjectType-Feature-2
content type line 23
ISSN:1420-0597
1573-1499
DOI:10.1023/A:1011510505406