A spatial generalization of the method of conformal mappings for the solution of model boundary-value filtration problems

被引：0
作者：
Bomba A.Y. [1 ]
Terebus A.V. [1 ]
机构：
[1] Rivne State Humanitarian University, Rivne
来源：
Journal of Mathematical Sciences | 2012年 / 187卷 / 5期
关键词：
Quasiconformal Mapping; Equipotential Surface; Stream Surface; Rectangular Parallelepiped; Complex Variable Method;
D O I：
10.1007/s10958-012-1086-7
中图分类号：
学科分类号：
摘要：
We propose a mathematical model for the calculation of the ideal flow in a curvilinear parallelepiped bounded by the stream surfaces and the equipotential ones. We suggest the system of second-order partial differential equations, which relates the potential and the stream functions spatially complexconjugate to it. On this basis, we formulate the problem of finding the spatial conformal mapping of a curvilinear parallelepiped on a rectangular parallelepiped and the corresponding inverse problem (of finding the inverse conformal mapping). An algorithm of solution of the problem is constructed, and the numerical calculations are carried out. © 2012 Springer Science+Business Media New York.
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页码：596 / 605
页数：9
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