Skip to main content
SpringerLink
Log in

Face-Centered and Volume-Centered Discrete Analogs of the Exterior Differential Equations Governing Porous Medium Flow II: Examples

  • Published:
Transport in Porous Media Aims and scope Submit manuscript

Abstract

This paper exemplifies discrete analogs obtained by transformation of the continuum equations governing porous media flow to a system of algebraic equations. To give insight in the underlying physics, the numerical examples are worked out algebraically. The volume-centered approximation turns out to be a reasonable simplification of the algebraically exact face-centered method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • K. Aziz A. Settari (1979) Petroleum Reservoir Simulation Applied Science Publishers London

    Google Scholar 

  • J. Bear (1988) Dynamics of Fluids in Porous Media Dover Publications New York

    Google Scholar 

  • A. Bossavit (1998) Computational Electromagnetism: Variational Formulations, Complementarity, Edge Elements Academic Press San Diego

    Google Scholar 

  • A. Bossavit (2001) ArticleTitleGeneralized finite differences in computational electromagnetism Prog. Electromagn. Res. 32 45–64

    Google Scholar 

  • Chavent, G. and Jaffré, J.: 1986, Mathematical Models and Finite Elements for Reservoir Simulation, North Holland, Amsterdam.

  • T. Frankel (2001) The Geometry of Physics Cambridge University Press Cambridge

    Google Scholar 

  • E.F. Kaasschieter A.J.M. Huijben (1992) ArticleTitleMixed-hybrid finite elements and streamline computations for the potential flow problem Numer. Meth. for PDEs. 8 221–266

    Google Scholar 

  • A. Trykozko W. Zijl A. Bossavit (2001) ArticleTitleNodal and mixed finite elements for the numerical homogenization of 3D permeability Computat. Geosci. 5 61–84

    Google Scholar 

  • S. H. Weintraub (1997) Differential Forms: A Complement to Vector Calculus Academic Press San Diego

    Google Scholar 

  • W. Zijl (2004) ArticleTitleA direct method for the identification of the permeability field based on flux assimilation by a discrete analog of Darcy’s law Transport in Porous Media. 56 IssueID1 87–112

    Google Scholar 

  • Zijl W. (2005). Face-centered and volume-centered discrete analogs of the exterior differential equations governing porous medium flow I: theory, Transport in Porous Media.

Download references

Author information

Authors and Affiliations

  1. Netherlands Institute of Applied Geoscience TNO, Utrecht, The Netherlands

    Wouter Zijl

Authors
  1. Wouter Zijl
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Wouter Zijl.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zijl, W. Face-Centered and Volume-Centered Discrete Analogs of the Exterior Differential Equations Governing Porous Medium Flow II: Examples. Transp Porous Med 60, 123–133 (2005). https://doi.org/10.1007/s11242-004-6718-z

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11242-004-6718-z

Keywords

Search

Navigation