水科学进展2013，Vol.24Issue(1)：103-110,8.
基于非结构混合网格求解二维浅水方程的一种数值方法
A total variation diminishing scheme for two-dimensional shallow water equations on mixed unstructured grids
摘要
Abstract
Unstructured grids are usually adopted in the solution of complex boundary flows. In this study, a depth-averaged two-dimensional (2-D) flow model is developed for mixed unstructured grids. The model uses both triangular cells and quadrilaterals, which ensures an accurate representation of irregular boundaries and at the same time, achieving a high computational efficiency. The unsteady term in the 2-D shallow water equations is treated implicitly. While the convection and diffusion terms are respectively approximated using the TVD (Total Variation Diminishing) algorithm and the auxiliary-point method. The depth-averaged standard k-s model is used for turbulent closure. Two classical test cases are chosen for model verification. The first one is a 2-D diversion flow case, and the second is a 90 degree bend-flow case. Results show that the proposed model performs well in terms of accuracy and presents good convergence characteristics.关键词
非结构网格/混合网格/TVD格式/浅水方程Key words
unstructured grid/ mixed grid/ total variation diminishing/ shallow water equations分类
建筑与水利引用本文复制引用
董炳江,卢新华,袁晶..基于非结构混合网格求解二维浅水方程的一种数值方法[J].水科学进展,2013,24(1):103-110,8.基金项目
国家重点基础研究发展计划(973)资助项目(2012CB417001) （973）
中央高校基本科研业务费专项资金资助项目(206275798) （206275798）
