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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, the unstructured finite volume method has been widely used in shallow water simulation due to its excellent characteristics, and many formats have been developed by scholars at home and abroad. However, the existing formats have the problems of high precision, complicated methods, simple methods and poor precision. In addition, the topographic processing is also a difficult point in the simulation, which directly affects the rationality of calculation results and the stability of the model. In order to solve the above two problems, this paper increases two artificial wave velocities and constructs artificial inverse wind flux vector splitting format in the flux vector splitting idea without increasing the complexity of the method, but it can greatly improve the format precision. On topographic processing , Comparison of various topography methods at home and abroad, selected excellent hydrostatic reconstruction method. Coupling the artificial inverse wind flux vector splitting finite volume method and hydrostatic reconstruction method, the harmonic finite volume calculation model is established, and the model is tested by typical examples.