用动力学的流矢量分裂法计算溃坝波问题

用动力学的流矢量分裂法计算溃坝波问题

施卫平¹, 耿爱芳²

1. 吉林大学数学学院, 长春 130012; 2. 长春理工大学，长春 130022

收稿日期:2002-09-06 修回日期:1900-01-01 出版日期:2003-04-26 发布日期:2003-04-26
通讯作者: 施卫平

Kinetic Flux Vector Splitting Method forthe Shallow Water Long Wave Equation

SHI Wei-ping¹, GENG Ai-fang²

1. College of Mathematics, Jilin University, Changchun 130012, China; 2. Changchun University of Science and Technology, Changchun 130022, China

Received:2002-09-06 Revised:1900-01-01 Online:2003-04-26 Published:2003-04-26
Contact: SHI Wei-ping

摘要/Abstract

摘要： 采用动力学的流矢量分裂法模拟浅水长波方程. 利用气体动力学方程与浅水长波方程之间的比拟关系, 并结合TVD差分格式给出浅水长波方程的数值计算方法. 计算了溃坝波问题. 数值结果与精确解的比较表明, 该方法能很好地模拟浅水长波方程中的间断解问题.

关键词: 动力学的流矢量分裂, 浅水长波方程, 溃坝波

Abstract: The kinetic flux vector splitting (KFVS) method was used to simulate t he shallow water long wave equation. Based on the analogy between the gas dynami c equation and shallow water long wave equation in combination with the TVD fini te difference scheme, a numerical scheme for the shallow water long wave equatio n is proposed. The dam breaking wave was calculated. The comparison of numerical solution with exact solution indicates that KFVS method can well capture the di scontinuity of the shallow water wave equation.

Key words: kinetic flux vector splitting, shallow water wave equation, dam breaki ng wave

中图分类号:

O354

施卫平, 耿爱芳. 用动力学的流矢量分裂法计算溃坝波问题[J]. J4, 2003, 41(02): 166-168.

SHI Wei-ping, GENG Ai-fang. Kinetic Flux Vector Splitting Method forthe Shallow Water Long Wave Equation[J]. J4, 2003, 41(02): 166-168.