Mathematical modelling of filtration processes in drainage systems using conformal mapping
The situation when groundwater considerably rises above the “normal” level, water intake, lowering of groundwater levels and other relevant practical tasks require the drainage facilities. The most effective techniques of numerical studies of the corresponding boundary problems at present time are m...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Polish Academy of Sciences
2018-12-01
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| Series: | Journal of Water and Land Development |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/jwld.2018.39.issue-1/jwld-2018-0054/jwld-2018-0054.xml?format=INT |
| Summary: | The situation when groundwater considerably rises above the “normal” level, water intake, lowering of groundwater levels and other relevant practical tasks require the drainage facilities. The most effective techniques of numerical studies of the corresponding boundary problems at present time are methods of dealing with inverse boundary value problems (conformal and quasi-conformal mappings). As basis of this research we used the case of combining the fictitious domain methods with quasi-conformal mappings of the solution of nonlinear boundary value problems for the calculation of filtration regimes in environments with free boundary areas (depression curves) and zones of “mountainous” areas. |
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| ISSN: | 2083-4535 |