Cell-Centered Finite Volume Method for Regularized Mean Curvature Flow on Polyhedral Meshes

被引：0
|
作者：
Hahn, Jooyoung [1 ]
Mikula, Karol [2 ]
Frolkovic, Peter [2 ]
Balazovjech, Martin [2 ]
Basara, Branislav [1 ]
机构：
[1] AVL List GmbH, Hans List Pl 1, A-8020 Graz, Austria
[2] Slovak Univ Technol Bratislava, Dept Math & Descript Geometry, Radlinskeho 11, Bratislava 81005, Slovakia
来源：
FINITE VOLUMES FOR COMPLEX APPLICATIONS IX-METHODS, THEORETICAL ASPECTS, EXAMPLES, FVCA 9 | 2020年 / 323卷
关键词：
Regularized mean curvature flow; Polyhedral meshes; Over-relaxed correction method; Nonlinear Crank-Nicolson method; LEVEL-SET METHODS; SCHEME; MOTION; ALGORITHMS; EQUATIONS;
D O I：
10.1007/978-3-030-43651-3_72
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A cell-centered finite volume method is used to numerically solve a regularized mean curvature flow equation on polyhedral meshes. It is based on an over-relaxed correctionmethod used previously for linear diffusion problems. An iterative nonlinear Crank-Nicolson method is proposed to obtain the second-order accuracy in time and space. The proposed algorithm is used for three-dimensional domains decomposed for parallel computing for two examples that numerically verify the second order accuracy on polyhedral meshes.
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页码：755 / 763
页数：9
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