Numerical simulation of Camassa-Holm peakons by adaptive upwinding

被引：38

作者：

Artebrant, R ^{[1
]}

Schroll, HJ ^{[1
]}

机构：

[1] Lund Univ, Ctr Math Sci, SE-22100 Lund, Sweden

来源：

APPLIED NUMERICAL MATHEMATICS | 2006年 / 56卷 / 05期

关键词：

Camassa-Holm equation; peakon dynamics; adaptive finite-volume method;

D O I：

10.1016/j.apnum.2005.06.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Camassa-Holm equation is a conservation law with a non-local flux that models shallow water waves and features soliton solutions with a corner at their crests, so-called peakons. In the present paper a finite-volume method is developed to simulate the dynamics of peakons. This conservative scheme is adaptive, high resolution and stable without any explicit introduction of artificial viscosity. A numerical simulation indicates that a certain plateau shaped travelling wave solution breaks up in time. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：695 / 711

页数：17

共 18 条

[1]

Artebrant R, 2003, HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, P305

[2] AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS [J].