Numerical Solution of the Richards Equation based Catchment Runoff Model with dd-Adaptivity Algorithm

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41330%2F16%3A71258" target="_blank" >RIV/60460709:41330/16:71258 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1063/1.4952255" target="_blank" >http://dx.doi.org/10.1063/1.4952255</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/1.4952255" target="_blank" >10.1063/1.4952255</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical Solution of the Richards Equation based Catchment Runoff Model with dd-Adaptivity Algorithm

Popis výsledku v původním jazyce

This paper presents pseudo-deterministic catchment runoff model based on the Richards equation model [1] the governing equation for the subsurface flow. The subsurface flow in a catchment is described here by two-dimensional variably saturated flow (unsaturated and saturated). The governing equation is the Richards equation with a slight modification of the time derivative term as considered e.g. by Neuman [2]. The nonlinear nature of this problem appears in unsaturated zone only, however the delineation of the saturated zone boundary is a nonlinear computationally expensive issue. The simple one-dimensional Boussinesq equation was used here as a rough estimator of the saturated zone boundary. With this estimate the dd-adaptivity algorithm (see Kuraz et al. [4, 5, 6]) could always start with an optimal subdomain split, so it is now possible to avoid solutions of huge systems of linear equations in the initial iteration level of our Richards equation based runoff model.

Název v anglickém jazyce

Numerical Solution of the Richards Equation based Catchment Runoff Model with dd-Adaptivity Algorithm

Popis výsledku anglicky

This paper presents pseudo-deterministic catchment runoff model based on the Richards equation model [1] the governing equation for the subsurface flow. The subsurface flow in a catchment is described here by two-dimensional variably saturated flow (unsaturated and saturated). The governing equation is the Richards equation with a slight modification of the time derivative term as considered e.g. by Neuman [2]. The nonlinear nature of this problem appears in unsaturated zone only, however the delineation of the saturated zone boundary is a nonlinear computationally expensive issue. The simple one-dimensional Boussinesq equation was used here as a rough estimator of the saturated zone boundary. With this estimate the dd-adaptivity algorithm (see Kuraz et al. [4, 5, 6]) could always start with an optimal subdomain split, so it is now possible to avoid solutions of huge systems of linear equations in the initial iteration level of our Richards equation based runoff model.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20206 - Computer hardware and architecture

Projekt

<a href="/cs/project/GP13-11977P" target="_blank" >GP13-11977P: Metoda adaptivní časové dekompozice pro řešení úloh Richardsovy rovnice v porézním prostředí vykazující kontrastní hydraulické charakteristiky.</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název statě ve sborníku

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015)

ISBN

978-0-7354-1392-4

ISSN

—

e-ISSN

—

Počet stran výsledku

5

Strana od-do

25-29

Název nakladatele

AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA

Místo vydání

MELVILLE, NY 11747-4501 USA

Místo konání akce

Rhodes

Datum konání akce

23. 9. 2015

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000380803300473