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 50 条

[1] Conservative interpolation on unstructured polyhedral meshes: An extension of the supermesh approach to cell-centered finite-volume variables
Menon, Sandeep
Schmidt, David P.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (41-44) : 2797 - 2804
[2] High-order cell-centered finite volume method for solid dynamics on unstructured meshes
Castrillo, Pablo
Schillaci, Eugenio
Rigola, Joaquim
COMPUTERS & STRUCTURES, 2024, 295
[3] A novel cell-centered finite volume scheme with positivity-preserving property for the anisotropic diffusion problems on general polyhedral meshes
Peng, Gang
Gao, Zhiming
Feng, Xinlong
APPLIED MATHEMATICS LETTERS, 2020, 104
[4] Analysis and construction of cell-centered finite volume scheme for diffusion equations on distorted meshes
Zhao, Qiang
Yuan, Guangwei
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (37-40) : 3039 - 3050
[5] A reconstruction-based cell-centered high-order finite volume method for incompressible viscous flow simulation on unstructured meshes
Lee, Euntaek
Hyung Taek Ahn
COMPUTERS & FLUIDS, 2018, 170 : 187 - 196
[6] Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes
Chang, Lina
Yuan, Guangwei
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (17-20) : 1638 - 1646
[7] CONVERGENCE OF A CELL-CENTERED FINITE VOLUME METHOD AND APPLICATION TO ELLIPTIC EQUATIONS
Gie, Gung-Min
Temam, Roger
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2015, 12 (03) : 536 - 566
[8] Stability analysis and improvement of the solution reconstruction for cell-centered finite volume methods on unstructured meshes
Zangeneh, Reza
Ollivier-Gooch, Carl F.
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 393 : 375 - 405
[9] Cell-centered method for viscous computations on unstructured meshes
Charrier, P
Dubroca, B
Flandrin, L
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1996, 323 (01): : 91 - 94
[10] A shock-fitting technique for cell-centered finite volume methods on unstructured dynamic meshes
Zou, Dongyang
Xu, Chunguang
Dong, Haibo
Liu, Jun
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 345 : 866 - 882

← 1 2 3 4 5 →