Volume 2, Issue 4, August 2017, Page: 43-46
Explicit Equations to Transform from Cartesian to Elliptic Coordinates
Che Sun, Institute of Oceanology, Chinese Academy of Sciences, Qingdao, China
Received: Jan. 16, 2017;       Accepted: Jan. 25, 2017;       Published: Oct. 31, 2017
DOI: 10.11648/j.mma.20170204.12      View  2782      Downloads  142
Abstract
Explicit equations are obtained to convert Cartesian coordinates to elliptic coordinates, based on which a function in elliptic coordinates can be readily mapped in physical space. Application to Kirchhoff vortex shows that its elliptical core induces two counter-rotating irrotational eddies.
Keywords
Elliptic Coordinates, Cartesian Coordinates, Kirchhoff Vortex
To cite this article
Che Sun, Explicit Equations to Transform from Cartesian to Elliptic Coordinates, Mathematical Modelling and Applications. Vol. 2, No. 4, 2017, pp. 43-46. doi: 10.11648/j.mma.20170204.12
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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