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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Numerical Solution of the Richards Equation based Catchment Runoff Model with dd-Adaptivity Algorithm
Original language description
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.
Czech name
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Czech description
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Project
<a href="/en/project/GP13-11977P" target="_blank" >GP13-11977P: Method of an adaptive domain decomposition for solving Richards equation problems in a porous medium with contrastive hydraulic properties.</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015)
ISBN
978-0-7354-1392-4
ISSN
—
e-ISSN
—
Number of pages
5
Pages from-to
25-29
Publisher name
AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Place of publication
MELVILLE, NY 11747-4501 USA
Event location
Rhodes
Event date
Sep 23, 2015
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000380803300473

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