具有复杂计算域和地形的二维浅水流动数值模拟  

Numerical modeling of 2-D shallow water flow with complicated geometry and topography

作　　者：王志力[1] 耿艳芬[1] 金生[1] 

机构地区：[1]大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024

出　　处：《水利学报》2005年第4期439-444,共6页Journal of Hydraulic Engineering

摘　　要：本文采用非结构化网格的有限体积方法,对具有复杂计算域和地形的二维河道进行数值模拟。采用Roe格式的近似Riemann解计算界面通量,对地形变化源项采用特征分解平衡界面通量以保证格式的和谐性,对摩擦力源项采用隐式或半隐式求解以增加格式的稳定性。通过与混合流算例理论解比较,验证了格式是和谐性的并具有良好的间断捕捉能力与稳定性。应用此方法对地形复杂,存在多处险滩和深潭的某河段进行了实际模拟,数值计算结果和模型试验结果吻合较好。An unstructured finite-volume numerical algorithm is proposed for solving the 2-D shallow water flow equation with complicated geometry and topography. The Roe's approximate Riemann solver is used in the calculation. The characteristic decompose method is applied to deal with the term of bed slope source in the equation, so that the flux can be balanced and the schemes are harmonious. The implicit and semi-implicit methods are used to calculate the friction source terms and enhance the stability of calculation. The validity of the proposed modeling method is verified by two numerical examples. The calculation result of a river section in Guangxi Province, China, is in good agreement with the physical model test data.

关 键 词：浅水方程 源项 Roe格式 有限体积 

分 类 号：TV131.4[水利工程—水力学及河流动力学]