不规则地形浅水模拟  

The shallow-water simulation for irregular terrain

作　　者：周浩澜[1] 陈洋波[1] 任启伟[1] 

机构地区：[1]中山大学地理科学与规划学院,广州510275

出　　处：《水动力学研究与进展（A辑）》2010年第5期594-600,共7页Chinese Journal of Hydrodynamics

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

摘　　要：近年,非结构有限体积法因为其优异的特性,在浅水模拟中得到广泛应用,国内外学者开发了众多格式。但现有格式存在精度高、方法复杂,或者方法简单、精度差的问题;此外,地形处理是也是模拟中的一个难点,直接影响到计算结果的合理性和模型稳定性。为解决上述两个问题,该文在通量向量分裂思想上,增加两个人工波速,构建人工逆风通量向量分裂格式,不增加方法的复杂性,却能极大提高格式精度;地形处理上,比较国内外各种地形处理方法,选用了性能优异静水重构法。将人工逆风通量向量分裂有限体积法和静水重构法进行耦合,建立了和谐有限体积计算模型,并用典型算例对模型进行了检验。In recent years, unstructured finite volume method is widely used in the shallow water simulation because of its excellent characteristic. Several studies have developed a lot of styles for the method. However, those existing styles are either high accuracy with complex method or simple method with low accuracy. Besides, the topography handling is an obstacle in numerical simulation of finite volume method and has direct influence to the rationality of computing result and model stability. To solve these two problems, this paper set up an Artificially Upstream Flux Vector Splitting method without any further complication in the method base on the idea of flux vector splitting. It can greatly enhance the style accuracy. As to the problem of topographic handling, hydrostatic reconstruction method was chosen after comparing to the other methods. Finally, a harmonious finite volume algorithm was proposed by coupling hydrostatic reconstruction method and Artificially Upstream Flux Vector Splitting finite volume method, and the algorithm has been examined through three typical examples.

关 键 词：不规则地形 有限体积 浅水方程 静水重构 

分 类 号：TV131.2[水利工程—水力学及河流动力学]