Mathematical modelling of filtration processes in drainage systems using conformal mapping

Journal of Water and Land Development

Mykola Tkachuk^2¹  Andrii Bomba^1² 

[1] National University of Water and Environmental Engineering, 33028, Rivne, Ukraine^2;Rivne State University of Humanities, Rivne, Ukraine^1

关键词: conformal mapping;    drainage systems;    filtration processes;    flood protection;    mathematical modelling;   

DOI  :  10.2478/jwld-2018-0054

学科分类：农业科学（综合）

来源: Instytut Technologiczno-Przyrodniczego / Institute of Technology and Life Sciences

【 摘 要 】

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.

【 授权许可】

Unknown