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- W100748345 abstract "The transient flow of water in saturated-unsaturated media is described by a nonlinear parabolic partial differential equation, familiarly known as Richards equation. Numerical solution of Richards equation is often beset with difficulties related to stability, convergence, and verification, particularly when water saturations are low and when material heterogeneities exist. It is suggested that these difficulties arise largely due to the fact that conventional numerical technical techniques based on finite differences and finite elements do not take into account the nature of the local flow geometry in estimating fluxes. Nor do they recognize that the Darcy-Buckingham equation, in the presence of gravity, heterogeneities or nonuniform flow geometry, is an implicit statement relating flux to the potential distribution between two surfaces of equal potential. Moreover, for an elemental volume in a transient nonlinear system, capacitance has to be defined in an operational sense, being specifically associated with a chosen location of observation within the elemental volume. Finally, in order to compute fluxes accurately, the time-averaging factor has to be made a function of space and of time. Theoretical discussions are provided to demonstrate how these ideas may be synthesized to solve the problem of transient flow in a flow tube of non uniform cross sectional area." @default.
- W100748345 created "2016-06-24" @default.
- W100748345 creator A5085688334 @default.
- W100748345 date "1989-01-01" @default.
- W100748345 modified "2023-09-23" @default.
- W100748345 title "Numerical Simulation of Richards Equation: Current Approaches and an Alternate Perspective" @default.
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- W100748345 doi "https://doi.org/10.1007/978-94-009-2352-2_12" @default.
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