WENO scheme with new smoothness indicator for Hamilton-Jacobi equation

被引：11

作者：

Huang, Cong ^{[1
]}

机构：

[1] Guilin Univ Technol, Coll Sci, Guilin, Guangxi, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 290卷

关键词：

WENO scheme; New smoothness indicator; Hamilton-Jacobi equation; ESSENTIALLY NONOSCILLATORY SCHEMES; HYPERBOLIC CONSERVATION-LAWS; EFFICIENT IMPLEMENTATION; TRIANGULAR MESHES;

D O I：

10.1016/j.amc.2016.05.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop a new weighted essentially non-oscillatory (WENO) scheme for Hamilton-Jacobi (HJ) equation by proposing a new family of smoothness indicators, which includes the smoothness indicator in Jiang and Peng (2000) as one of its members. The new family of smoothness indicators has three parameters. By choosing the parameters properly, the new WENO scheme provides more accurate numerical solution than the original one, and increases little computational cost. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：21 / 32

页数：12

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