混合网格和谐有限体积法  

Well-balanced Finite Volume Methods for Hybrid Grid

作　　者：周浩澜[1] 陈洋波[1] 

机构地区：[1]中山大学自然灾害研究中心,广州510275

出　　处：《中国农村水利水电》2010年第5期69-71,74,共4页China Rural Water and Hydropower

基　　金：水利部公益性行业科研专项(200701038);广东省科技计划基金项目(2009A030302003)

摘　　要：近年,非结构有限体积法发展迅速,但地形处理是有限体积法数值模拟中的一个难点,直接影响到计算结果的合理性和模型稳定性。针对地形处理问题,筛选国内外各种地形处理方法,比较后选用了性能优异的静水重构法。将静水重构法与Roe有限体积法进行耦合,建立了和谐Roe有限体积计算模型,并用经典算例对算法进行了检验,检验算例中网格采用三角形、四边形网格混合计算,验证了模型的和谐性。Recently,unstructured finite volume method has been developed rapidly,but topographic handling,a difficulty in finite volume method numerical simulation has direct influence on the rationality of computing result and model stability.As for the problem of topographic handling,hydrostatic reconstruction method is chosen after being compared with the other methods at home and abroad because of its exceptional performance.Having coupled hydrostatic reconstruction method with Roe＇s finite volume method,we establish well-balanced Roe finite volume model and have an examination on this algorithm by using classical examples.During the examination,the concordance of model has been verified in the examined example by triangle and quadrangle＇s hybrid grid.

关 键 词：浅水方程 有限体积 Roe格式 静水重构 和谐 

分 类 号：TV131.2[水利工程—水力学及河流动力学]