| Title:
|
Numerical studies of groundwater flow problems with a singularity (English) |
| Author:
|
Hokr, Milan |
| Author:
|
Balvín, Aleš |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016 |
| Issue:
|
2016 |
| Year:
|
|
| Pages:
|
37-45 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
finite elements |
| Keyword:
|
mesh dependence |
| Keyword:
|
borehole |
| Keyword:
|
radial flow |
| MSC:
|
35A20 |
| MSC:
|
65N30 |
| MSC:
|
76S05 |
| MSC:
|
86A05 |
| DOI:
|
10.21136/panm.2016.05 |
| . |
| Date available:
|
2017-06-20T13:00:57Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702996 |
| . |
