基于有限体积法的二维浅水流动数值模拟程序开发  

Numerical Simulation of 2D Shallow Water Flow ow Finite Volume Method

作　　者：徐小武[1] 薛立梅[1] 范宝山[1] 李克绵[1] 

机构地区：[1]中水东北勘测设计研究有限责任公司科学研究院,长春130061

出　　处：《水利科技与经济》2012年第10期68-73,共6页Water Conservancy Science and Technology and Economy

摘　　要：应用近年来浅水动力学理论的研究成果,参考国内外在软件设计方面几十年积累的经验,开发了基于有限体积法的二维浅水流动数值模拟程序CFD-FVM2D。程序以Roe格式的近似Riemann解为基础,离散浅水方程并将源项按特征方向进行特征分解,建立带源项浅水方程的通量平衡的Godunov求解格式,并对摩擦源项采用隐式、半隐式求解格式,以解决浅水方程的间断、动边界和河床起伏问题。This paper develops a kind of 2-D shallow water flow simulation program-CFD-FVM2D based on the finite volume method applying the research results of shallow water hydrodynamics theory which developed in recent years and referencing decades of experience in the software design.The program disperses the shallow water equations and decomposes the source terms in characteristic direction based on approximate Riemann solver of Roe′s scheme,presents the flux balance Godunov scheme for the shallow water equation with source terms.The implicit and half-implicit scheme are used to solve friction term of the source terms in order to solve the problems that discontinuity,moving boundary and bed level changes of the shallow water equations.

关 键 词：二维浅水方程 非结构网格 有限体积法 Roe格式 动边界 

分 类 号：TV131[水利工程—水力学及河流动力学]