Numerical studies of groundwater flow problems with a singularity
Result description
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.
Keywords
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/46747885:24620/17:00000596
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Numerical studies of groundwater flow problems with a singularity
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar.
ISBN
978-80-85823-67-7
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
37-45
Publisher name
Institute of Mathematics CAS
Place of publication
Praha
Event location
Janov nad Nisou
Event date
Jan 1, 2016
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
000467646600005
Basic information
Result type
D - Article in proceedings
OECD FORD
Applied mathematics
Year of implementation
2017