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arXiv · 1406.5021

The interplay of curvature and vortices in flow on curved surfaces

Sebastian Reuther·Axel Voigt
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Abstract

Incompressible fluids on curved surfaces are considered with respect to the interplay between topology, geometry and fluid properties using a surface vorticity-stream function formulation, which is solved using parametric finite elements. Motivated by designed examples for superfluids, we consider the influence of a geometric potential on vortices for fluids with finite viscosity and show numerical examples in which a change in the geometry is used to manipulate the flow field.

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Sebastian Reuther, Axel Voigt. 2014-06-19. The interplay of curvature and vortices in flow on curved surfaces. https://arxiv.org/abs/1406.5021

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