Abstract
This paper presents a numerical study on the dynamics of point vortex pairs moving on convex closed surfaces (ovaloids) approximated by triangular icosahedral meshes. Firstly, both a discretized conformal mapping between the ovaloid and the unit sphere and a least-squares fitting for this approximated conformal map in terms of a spherical harmonic expansion are obtained. Then, an approximation of the conformal spherical metric of the ovaloid is derived by obtaining a spherical harmonic expansion of the corresponding conformal factor and its gradient on . The equations of motion for a point vortex pair on with this quasi-conformal metric are integrated by using the classical Gaussian collocation method for some particular models.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Physics A: Mathematical and Theoretical
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
