An Adaptive Time Discretisation to the Numerical Solution of the Richards' Equation

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
An Adaptive Time Discretisation to the Numerical Solution of the Richards' Equation
Original language description
A flow in a variably saturated porous media when satisfying conditions of the Darcy's law is possible to describe by the Richards' equation. The numerical solution of this problem suffers with various difficulties due to nonlinearities based on a nonlinear empirical hydropedological laws. Those are the constitutive laws describing a relation between a pore suction pressure and a water content, in our case described by the van Genuchten formula and the relation between an unsaturated hydraulic conductivity and a pore suction pressure described by the Mualem form. A time derivate term is usually approximated by a linear function due to the commonly used implicit Euler scheme approximations. Due to a various torsions of the van Genuchten law for different water content values this method brings mass balance errors as mentioned in. A method to control error of this approximation based on an adaptive time step is presented in this paper.
Czech name
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Czech description
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Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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