Numerical studies of groundwater flow problems with a singularity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F17%3A00000596" target="_blank" >RIV/46747885:24220/17:00000596 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/46747885:24620/17:00000596

Výsledek na webu

<a href="http://dml.cz/handle/10338.dmlcz/702996" target="_blank" >http://dml.cz/handle/10338.dmlcz/702996</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21136/panm.2016.05" target="_blank" >10.21136/panm.2016.05</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical studies of groundwater flow problems with a singularity

Popis výsledku v původním jazyce

The paper studies mesh dependent numerical solution of groundwater problems with singularities, caused by boreholes represented as points, instead of a real radius.We show on examples, that the numerical solution of the borehole pumping problem with point source (singularity) can be related to the exact solution of a regular problem with adapted geometry of a finite borehole radius. The radius providing the fit is roughly proportional to the mesh step.Next we define a problem of fracture-rock coupling, with one part equivalent to the singular point source problem and the second part with a uniform flow. It is a regularized problem, but with the mesh dependence similar to the radial flow, in a certain range of steps.The behavior is explained by comparing the numerical solution with the analytical solution of a simplified problem. It also captures the effects of varying physical parameters.

Název v anglickém jazyce

Numerical studies of groundwater flow problems with a singularity

Popis výsledku anglicky

The paper studies mesh dependent numerical solution of groundwater problems with singularities, caused by boreholes represented as points, instead of a real radius.We show on examples, that the numerical solution of the borehole pumping problem with point source (singularity) can be related to the exact solution of a regular problem with adapted geometry of a finite borehole radius. The radius providing the fit is roughly proportional to the mesh step.Next we define a problem of fracture-rock coupling, with one part equivalent to the singular point source problem and the second part with a uniform flow. It is a regularized problem, but with the mesh dependence similar to the radial flow, in a certain range of steps.The behavior is explained by comparing the numerical solution with the analytical solution of a simplified problem. It also captures the effects of varying physical parameters.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název statě ve sborníku

Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar.

ISBN

978-80-85823-67-7

ISSN

—

e-ISSN

—

Počet stran výsledku

9

Strana od-do

37-45

Název nakladatele

Institute of Mathematics CAS

Místo vydání

Praha

Místo konání akce

Janov nad Nisou

Datum konání akce

1. 1. 2016

Typ akce podle státní příslušnosti

CST - Celostátní akce

Kód UT WoS článku

000467646600005