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

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.

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References

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Correspondence to Wouter Zijl.

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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

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Keywords

  • algebraic equations
  • discrete analogs
  • face-centered method
  • mixed-hybrid method
  • volume-centered method