Vortex generated fluid flows in multiply connected domains
| Autor: | Ian Manly, Demond Handley, Anna Y. Zemlyanova |
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| Rok vydání: | 2017 |
| Předmět: |
FOS: Physical sciences
010103 numerical & computational mathematics 01 natural sciences Domain (mathematical analysis) 010305 fluids & plasmas Physics::Fluid Dynamics symbols.namesake 0103 physical sciences Stream function FOS: Mathematics Fluid dynamics Limit (mathematics) Complex Variables (math.CV) 0101 mathematics 76B47 76M40 76M23 ComputingMethodologies_COMPUTERGRAPHICS Mathematics Laplace's equation Numerical Analysis Mathematics - Complex Variables Applied Mathematics Fluid Dynamics (physics.flu-dyn) Physics - Fluid Dynamics Mechanics Vortex Computational Mathematics Flow (mathematics) Green's function symbols Analysis |
| Zdroj: | Complex Variables and Elliptic Equations. 63:151-170 |
| ISSN: | 1747-6941 1747-6933 |
| DOI: | 10.1080/17476933.2017.1289516 |
| Popis: | A fluid flow in a multiply connected domain generated by an arbitrary number of point vortices is considered. A stream function for this flow is constructed as a limit of a certain functional sequence using the method of images. The convergence of this sequence is discussed, and the speed of convergence is determined explicitly. The presented formulas allow for the easy computation of the values of the stream function with arbitrary precision in the case of well-separated cylinders. The considered problem is important for applications such as eddy flows in the oceans. Moreover, since finding the stream function of the flow is essentially identical to finding the modified Green's function for Laplace's equation, the presented method can be applied to a more general class of applied problems which involve solving the Dirichlet problem for Laplace's equation. Comment: 23 pages, 11 figures |
| Databáze: | OpenAIRE |
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