摘要
本文采用改进的时空守恒元和解元方法(简称CE SE法)构造了求解二维浅水方程的数值格式,建立了模拟大坝瞬间全溃和局部溃所致的洪水演进、绕流和反射过程的数学模型。应用此数学模型对局部溃坝的洪水的演进、绕流和反射的情况进行了模拟。算例结果表明CE SE法精度高、稳定性好,很好的展示了溃坝波的运动特性,是一种研究溃坝洪水波较高精度的数值方法。
The improved space-time conservation element is introduced and the solution element method is adopted to construct the numerical format for solving the 2-D shallow flow equation. On this basis, the mathematical model for simulating the propagation, diffraction and reflection of dam-break wave in case of suddenly whole broken or partial broken are established. The calculation result of examples show that the proposed model can satisfactorily describe the whole process and flow characteristics of the dam-break wave and possesses high computation accuracy.
出处
《水利学报》
EI
CSCD
北大核心
2005年第5期569-574,共6页
Journal of Hydraulic Engineering
基金
国家自然科学基金项目(10472136)
教育部重点科技项目资助(02058)
关键词
溃坝洪水波
绕射
反射
时空守恒元和解元
浅水方程
dam-break flood wave
diffraction
reflection
shallow water equations
space-time conservation element and solution element
