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.

引用

页码：755 / 763

页数：9

共 19 条

[1] A HIGHER ORDER SCHEME FOR A TANGENTIALLY STABILIZED PLANE CURVE SHORTENING FLOW WITH A DRIVING FORCE [J].