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.
| Published in | Mathematical Modelling and Applications (Volume 2, Issue 4) |
| DOI | 10.11648/j.mma.20170204.12 |
| Page(s) | 43-46 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Elliptic Coordinates, Cartesian Coordinates, Kirchhoff Vortex
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APA Style
Che Sun. (2017). Explicit Equations to Transform from Cartesian to Elliptic Coordinates. Mathematical Modelling and Applications, 2(4), 43-46. https://doi.org/10.11648/j.mma.20170204.12
ACS Style
Che Sun. Explicit Equations to Transform from Cartesian to Elliptic Coordinates. Math. Model. Appl. 2017, 2(4), 43-46. doi: 10.11648/j.mma.20170204.12
AMA Style
Che Sun. Explicit Equations to Transform from Cartesian to Elliptic Coordinates. Math Model Appl. 2017;2(4):43-46. doi: 10.11648/j.mma.20170204.12
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Download@article{10.11648/j.mma.20170204.12,
author = {Che Sun},
title = {Explicit Equations to Transform from Cartesian to Elliptic Coordinates},
journal = {Mathematical Modelling and Applications},
volume = {2},
number = {4},
pages = {43-46},
doi = {10.11648/j.mma.20170204.12},
url = {https://doi.org/10.11648/j.mma.20170204.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20170204.12},
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.},
year = {2017}
}
TY - JOUR T1 - Explicit Equations to Transform from Cartesian to Elliptic Coordinates AU - Che Sun Y1 - 2017/10/31 PY - 2017 N1 - https://doi.org/10.11648/j.mma.20170204.12 DO - 10.11648/j.mma.20170204.12 T2 - Mathematical Modelling and Applications JF - Mathematical Modelling and Applications JO - Mathematical Modelling and Applications SP - 43 EP - 46 PB - Science Publishing Group SN - 2575-1794 UR - https://doi.org/10.11648/j.mma.20170204.12 AB - 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. VL - 2 IS - 4 ER -
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