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

Author: Zijl Wouter

Source: Transport in Porous Media, Volume 60, Number 1, July 2005 , pp. 123-133(11)

Publisher: Springer

Buy & download fulltext article:

Price: $47.00 plus tax (Refund Policy)

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.

Keywords: algebraic equations; discrete analogs; face-centered method; mixed-hybrid method; volume-centered method

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s11242-004-6718-z

Affiliations: 1: Netherlands Institute of Applied Geoscience TNO, Utrecht, The Netherlands, Email: wouter.zjil@tno.nl

Publication date: 2005-07-01