A CONSERVATIVE ENFORCING POSITIVITY-PRESERVING ALGORITHM FOR DIFFUSION SCHEME ON GENERAL MESHES

被引：0

作者：

Cao, Fujun ^{[1
,2
,3
]}

Yao, Yanzhong ^{[4
]}

Yu, Yunlong ^{[4
]}

Yuan, Guangwei ^{[4
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 01130, Anhui, Peoples R China

[2] Inst Appl Phys & Computat Math, Natl Key Lab Sci & Technol Computat Phys, POB 8009, Beijing 100088, Peoples R China

[3] Inner Mongolia Univ Sci & Technol, Sch Math Phys & Biol Engn, Baotou 014010, Inner Mongolia, Peoples R China

[4] Inst Appl Phys & Computat Math, Lab Computat Phys, POB 8009, Beijing 100088, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2016年 / 13卷 / 05期

关键词：

positivity correction; conservation; nonlinear diffusion equation; general mesh; DISCRETE MAXIMUM PRINCIPLE; FINITE-VOLUME SCHEMES; ANISOTROPIC DIFFUSION; EQUATIONS; OPERATORS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a class of diffusion schemes not satisfying the property of positivity-preserving, zee propose an enforcing positivity algorithm. It is locally conservative and easy to be implemented in existing codes. Moreover, this algorithm can be performed on both structured and unstructured meshes. Numerical experiments demonstrate that in terms of L3 error and conservation this algorithm is much better than the trick of directly enforcing the negative values to zero (ENZ), which has been used in applications, meanwhile, in terms of 1,0 error it is approximate to ENZ and CEPA repairing algorithms.

引用

页码：739 / 752

页数：14

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