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