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arXiv · 2003.10264

A numerical approach for fluid deformable surfaces

Sebastian Reuther·Ingo Nitschke·Axel Voigt
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Abstract

Fluid deformable surfaces show a solid-fluid duality which establishes a tight interplay between tangential flow and surface deformation. We derive the governing equations as a thin film limit and provide a general numerical approach for their solution. The simulation results demonstrate the rich dynamics resulting from this interplay, where in the presence of curvature any shape change is accompanied by a tangential flow and, vice versa, the surface deforms due to tangential flow. However, they also show that the only possible stable stationary state in the considered setting is a sphere with zero velocity.

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Sebastian Reuther, Ingo Nitschke, Axel Voigt. 2020-03-20. A numerical approach for fluid deformable surfaces. https://doi.org/10.1017/jfm.2020.564

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