NDLI: A computational theory for spiral point vortices in multiply connected domains with slit boundaries

Content Provider	Springer Nature Link
Author	Aoyama, Naoki Sakajo, Takashi Tanaka, Hidehiro
Copyright Year	2013
Abstract	A spiral point vortex, which is a point vortex with a source-sink structure, appears when we consider a two-dimensional cross section of a straight vortex line with a uniform flow in its axial direction in three-dimensional space. In the present paper, we present a computational theory for the motion of spiral point vortices in two-dimensional exterior domains that contain multiple rectilinear line segments as boundaries, called slit domains. The theory consists of the evolution equation for spiral point vortices in multiply connected domains and a numerical procedure to construct conformal mappings from multiply connected domains with circular boundaries onto given slit domains. It is applicable to many flow problems arising in biofluids and environmental flows. As an example, we apply the theory to the flow problem of finding force-enhancing equilibria consisting of two spiral point vortices in a slit domain with two parallel plates in the presence of a uniform flow, which is a two-dimensional model of a wind-turbine with vertical blades.
Starting Page	485
Ending Page	509
Page Count	25
File Format	PDF
ISSN	09167005
Journal	Japan Journal of Industrial and Applied Mathematics
Volume Number	30
Issue Number	3
e-ISSN	1868937X
Language	English
Publisher	Springer Japan
Publisher Date	2013-09-18
Publisher Place	Tokyo
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Spiral point vortices Multiply connected domains Conformal mapping Schottky–Klein prime function Vortex flows Numerical methods in complex analysis Numerical methods in conformal mapping theory Applications of Mathematics Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Engineering

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