Sphere Under Advection and Mean Curvature Flow
Differential Geometry
2020-12-22 v1
Abstract
Advection and mean curvature flow is used as a model of bone microarchitecture adaptation. It is an equivalent geometric flow to prescribed mean curvature flow with an additional rate term. In order to validate numerical methods for simulating this flow and developing an inverse solver, a closed-form solution for advection and mean curvature flow of a sphere is derived.
Keywords
Cite
@article{arxiv.2012.10483,
title = {Sphere Under Advection and Mean Curvature Flow},
author = {Bryce A. Besler and Tannis D. Kemp and Nils D. Forkert and Steven K. Boyd},
journal= {arXiv preprint arXiv:2012.10483},
year = {2020}
}
Comments
5 pages, 5 figures