计算溃坝波问题的KFVS方法  

Kinetic flux vector splitting method for the dam breaking waves

作　　者：施卫平[1] 祖迎庆[1] 

机构地区：[1]吉林大学数学学院

出　　处：《吉林大学学报（工学版）》2006年第B03期62-65,共4页Journal of Jilin University:Engineering and Technology Edition

基　　金：中国国际科技合作重点计划项目(2005DFA00850)吉林大学创新基金资助项目吉林省科技发展计划项目(20040703-1)国家自然科学基金资助项目(10471054)

摘　　要：浅水波方程与可压缩无黏气体方程类似,按照这两种方程的比拟关系,作者给出了用于计算浅水波方程的动力学流矢量分裂(KFVS)方法,并应用此方法计算了两个二维溃坝波问题。计算结果与已有文献结果基本一致,证明该方法有效、稳定,能够模拟浅水长波方程中的间断解问题。A dam breaking wave is similar to the shock wave that is a solution of gas dynamic equations. Based on the analogy to gas dynamic equation, the KFVS method can also be used to stimulate the shallow water wave equations. Two numerical tests were calculated. The numerical results agree with those of available literatures and show that the method is robust and stable for getting the discontinuous solutions of the shallow water wave equation.

关 键 词：工程力学 动力学流矢量分裂方法 溃坝波 浅水波方程 

分 类 号：O354[理学—流体力学]