Solving the nonstationary Richards equation with adaptive hp-FEM

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41330%2F11%3A51453" target="_blank" >RIV/60460709:41330/11:51453 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.advwatres.2011.04.020" target="_blank" >http://dx.doi.org/10.1016/j.advwatres.2011.04.020</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.advwatres.2011.04.020" target="_blank" >10.1016/j.advwatres.2011.04.020</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Solving the nonstationary Richards equation with adaptive hp-FEM

Popis výsledku v původním jazyce

This paper examines the potential of the adaptive hp-FEM method for the numerical solution of timedependent variably saturated Darcian flow problems described by the Richards equation. The method is illustrated on three model problems: a benchmark with known exact solution, groundwater seepage into a dry lysimeter box with time-dependent boundary conditions, and capillary barrier behavior under an intense infiltration. In the second part of the paper we present the weak formulation of the Richards equation for the Newton?s and Picard?s methods, give a brief overview of adaptive hp-FEM with emphasis on aspects that are usually not discussed in the literature, and we briefly introduce the open source adaptive hp-FEM library HERMES that was used to generate numerical results for this paper. All computations that we present are easily reproducible.

Název v anglickém jazyce

Solving the nonstationary Richards equation with adaptive hp-FEM

Popis výsledku anglicky

This paper examines the potential of the adaptive hp-FEM method for the numerical solution of timedependent variably saturated Darcian flow problems described by the Richards equation. The method is illustrated on three model problems: a benchmark with known exact solution, groundwater seepage into a dry lysimeter box with time-dependent boundary conditions, and capillary barrier behavior under an intense infiltration. In the second part of the paper we present the weak formulation of the Richards equation for the Newton?s and Picard?s methods, give a brief overview of adaptive hp-FEM with emphasis on aspects that are usually not discussed in the literature, and we briefly introduce the open source adaptive hp-FEM library HERMES that was used to generate numerical results for this paper. All computations that we present are easily reproducible.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název periodika

ADVANCES IN WATER RESOURCES

ISSN

0309-1708

e-ISSN

—

Svazek periodika

34

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

20

Strana od-do

1062-1081

Kód UT WoS článku

000295653700002

EID výsledku v databázi Scopus

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