کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
521991 | 867804 | 2008 | 13 صفحه PDF | دانلود رایگان |
We consider the motion of both point vortices and uniform vortex patches in arbitrary, possibly multiply connected, regions bounded by impenetrable walls on the surface of a sphere. By exploiting knowledge of the functional form of the relevant Green’s function in a pre-image circular domain that is conformally equivalent to a stereographic projection of the fluid domain on the spherical surface, we first generalize Kirchhoff–Routh theory for point vortex motion in the plane to point vortex motion on a spherical shell. Next, we study vortex patch motion and show that there is a contour dynamics formulation for the evolution of uniform vortex patches in any finitely connected domain on a spherical shell bounded by impenetrable walls. We describe a novel numerical scheme whereby this motion can be computed. Some illustrative calculations are shown.
Journal: Journal of Computational Physics - Volume 227, Issue 12, 1 June 2008, Pages 6058–6070