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
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.
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
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