摘要
用间断有限元方法求解水击方程,基函数采用勒让德正交多项式,数值通量采用简单有效的Lax-Friedrichs格式,时间离散采用经典的Runge-Kutta方法。最后,对算例进行数值模拟,并对结果分析比较,得出对于求解水击方程间断有限元方法是一个很好的方法。
This paper is concerned with the discontinuous galerkin methods for one-dimensional water hammer equation. This method uses Legendre polynomial basis functions of orthogonal polynomials, and the numerical flux use simplely and effectively Lax-Friedrichs scheme, and uses Runge-Kutta method to discrete time. Finally numerical results are given illustrating the method on water hammer equation, and the results are compared with other methods and prove that the discontinuous galerkin methods is a good method for water hammer equation .
出处
《武汉工业学院学报》
CAS
2013年第3期61-63,73,共4页
Journal of Wuhan Polytechnic University
基金
湖北省教育厅中青年科学研究项目(Q20121812)
关键词
间断有限元
水击方程
数值通量
discontinuous galerkin method
water hammer equation
number flux
