有限体积KFVS方法在二维溃坝中的应用  

The Application of KFVS Finite Volume Method in the Two-dimensional Dam Breaking

作　　者：鲍远林[1] 陈秀荣[1] 程冰[1] 周晓阳[1] 

机构地区：[1]华中科技大学数学系,湖北武汉430074

出　　处：《应用数学》2004年第S1期156-159,共4页Mathematica Applicata

摘　　要：本文采用了基于KFVS格式的有限体积方法 (FVM)求解了控制水流运动的二维浅水方程 ,建立了二维水坝瞬间溃坝的洪水演进模型 .并应用此模型模拟了二维非对称溃坝和对称溃坝情形下坝左下角有障碍物时的洪水波演进过程 .模拟结果表明该数学模型对二维浅水运动的模拟很有效 .In this paper,we apply the finite volume method based on KFVS scheme to solve the control equations of two-dimensional shallow water,and build a model which can simulate the instantaneous form of two-dimensional water flow whne the dam broken.Finally,we use this model to simulate the process of two-dimensional flood routing in the two cases.One is an asymmetric dam breaking,another is a symmetric dam breaking which there is an impediment in the left lower position of the dam.The simulating results indicate this metod is very efficient in simulating the movement of two-dimensional shallow water.

关 键 词：溃坝 有限体积法 KFVS格式 

分 类 号：TV131.4[水利工程—水力学及河流动力学]