A numerical approach for fluid deformable surfaces
Computational Physics
2023-07-19 v1
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.
Cite
@article{arxiv.2003.10264,
title = {A numerical approach for fluid deformable surfaces},
author = {Sebastian Reuther and Ingo Nitschke and Axel Voigt},
journal= {arXiv preprint arXiv:2003.10264},
year = {2023}
}