Monotonicity Considerations for Saturated--Unsaturated Subsurface Flow

Monotonicity Considerations for Saturated--Unsaturated Subsurface Flow

It is demonstrated that monotonicity is a sufficient condition to ensure that no new nonphysical local maxima and minima can be produced in the discrete nonlinear unsaturated flow equation. Monotonicity conditions are derived for various types of weighting for the mobility term. The basic discretiza...

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Veröffentlicht in:SIAM journal on scientific computing 1997-09, Vol.18 (5), p.1328-1354
Hauptverfasser: Forsyth, P. A., Kropinski, M. C.
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Sprache:eng
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Approximation
Boundary conditions
Numerical analysis
Permeability
Water
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Kropinski, M. C.
description It is demonstrated that monotonicity is a sufficient condition to ensure that no new nonphysical local maxima and minima can be produced in the discrete nonlinear unsaturated flow equation. Monotonicity conditions are derived for various types of weighting for the mobility term. The basic discretization is of finite element type, but the results can be extended to finite volume discretizations. Central weightings are only conditionally monotone, while upstream weightings are unconditionally monotone. Sample computations are given for highly heterogeneous problems.
doi_str_mv 10.1137/S1064827594265824
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subjects Approximation
Boundary conditions
Numerical analysis
Permeability
Water
title Monotonicity Considerations for Saturated--Unsaturated Subsurface Flow
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