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For simulating water wave propagation in coastal areas, various Boussinesq-type equations with improved properties in intermediate or deep water have been presented in the past several decades. How to choose proper Boussinesq-type equations has been a practical problem for engineers. In this paper, approaches of improving the characteristics of the equations, i.e. linear dispersion, shoaling gradient and nonlinearity, are reviewed and the advantages and disadvantages of several different Boussinesq-type equations are compared for the applications of these Boussinesq-type equations in coastal engineering with relatively large sea areas. Then for improving the properties of Boussinesq-type equations, a new set of fully nonlinear Boussinseq-type equations with modified representative velocity are derived, which can be used for better linear dispersion and nonlinearity. Based on the method of minimizing the overall error in different ranges of applications, sets of parameters are determined with optimized linear dispersion, linear shoaling and nonlinearity, respectively. Finally, a test example is given for validating the results of this study. Both results show that the equations with optimized parameters display better characteristics than the ones obtained by matching with padé approximation. 相似文献
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为分析设计暴雨雨型对城市内涝的影响,应用耦合了水文和水动力过程的数值模型,以陕西省西咸新区为研究区域,对不同重现期及峰值比例设计暴雨条件下的内涝过程进行模拟,并对内涝积水总量、不同积水深度内涝面积等量值进行对比分析。结果表明:设计暴雨重现期短于20年时,峰值比例较小的设计暴雨内涝积水总量较大,而重现期长于20年时,规律相反;除2年一遇设计暴雨外,峰值比例较大的设计暴雨致涝总面积较大,但其中影响严重的Ⅳ级致涝面积较小;设计暴雨峰值比例越小,重现期越长,积水总量峰值时刻相对于暴雨峰值时刻的迟滞时间越长。揭示了暴雨雨型与内涝积水程度的量化规律,对更合理地开展城市雨洪管理工作具有指导意义。 相似文献
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