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

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

O - Ostatní výsledky

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2009

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů