平面二维水沙模型的特征有限元数值模拟  

A CHARACTERISTIC FINITE ELEMENT SIMULATION FOR CURRENT AND SILT SEDIMENTATION MODEL IN TWO SPACE DIMENSIONS

作　　者：周兆杰[1] 陈焕祯[1] 

机构地区：[1]山东师范大学数学科学学院

出　　处：《高等学校计算数学学报》2007年第3期245-256,共12页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(10271068);山东省自然科学基金(Y2002A01)

摘　　要：1引言 水流泥沙数学模型是定量预测水沙运动及河床演变的重要手段，常用于模拟三角洲的形成与发展、淤积区的扩展、淤泥和泥沙输运和沉积而引起的河道的变迁等水利水沙问题．这一模型的数值研究已引起了水动力学工程师们的极大关注，对此问题的细致的研究，有利于人们更加清楚地把握河道水流泥沙的形态，对于治沙，防洪以及堤坝的建设与加固都有积极而重要的意义．In this paper,we consider the characteristic finite element method for current and silt sedimentation model in two space dimensions. The governing equations are uniformly convection-dominat. It is especially diffculty to approximate well by using the finite element method. There, a characteristic finite element method is used of approximate the solutions of the model~ the method is good to handle the convection part. However~ the first equation of the model is nearly hyperbolic in nature, our analysis shows that the method only approximates the model suboptimally.

关 键 词：有限元数值模拟 水沙模型 平面二维 水流泥沙数学模型 特征 河床演变 水沙运动 定量预测 

分 类 号：TV48[水利工程—水工结构工程]