数值模拟在钱塘江涌潮分析中的应用──Ⅱ.计算结果和分析  

THE APPLICATION OF NUMERICAL SIMULATION INANALYSIS OF QIANTANGJIANG TIDEPart II: Result and Discussion

作　　者：苏铭德[1] 徐昕 朱锦林 韩耀宗[2] 

机构地区：[1]清华大学工程力学系,北京100084 [2]香港城市大学数学系

出　　处：《力学学报》1999年第6期700-716,共17页Chinese Journal of Theoretical and Applied Mechanics

摘　　要：关于钱塘江涌潮分析中用数值模拟的计算结果和分析，对于一维情况，采用有精确解问题的计算、水跃的数值模拟和溃坝的数值模拟来检验数值方法的正确性，并将该方法应用于钱塘江涌潮的计算．对于二维情况，对存在理论解的直道水激波与有实验数据的湾道溃坝和非线性水波爬坡问题进行了计算，并将该方法应用于钱塘江涌潮的计算，数值计算结果表明了方法的有效性．This paper is the second part of the present paper. For 1D situation, three numericalexamples, i.e. the computation of a problem with exact solution, numerical simulation of waterjump and collapsed-dam, are computed. The computation of problem with exact solution is usedto check the accuracy of the numerical method. The result of numerical simulation of water jumpindicates its applicability to describe the movement of nonlinear water wave by comparing withthe theoretical result. The result of break-dam comparing with theoretical result also indicatethat it can be used to deal with the flow with discontinuity. According to the result of abovethree examples, this method is used to compute the movement of tide in the Qiantangjiang riverwith adaptive mesh and the result prove its efficiency. For the 2D situation, NND scheme andunstructured mesh, as introduced in the first part of this paper are used to solve the shallow waterwave equations. Three problems have been computed in order to check the validity of scheme.The first one is a simplified collapsed-dam problem. The result proves that NND scheme used incomputing shallow water wave can capture discontinuity of flow field. The second is the collapsed-dam problem in curved channel, the experimental data of which have been given out by Miller etal.~[l] The third is climb of solitary wave on slope problem, the measured data and computed dataare compared. The result proves that the dealing method about the moving boundary is available.The comparisions between computed results and theoretical or experimental results verify that thismethod is effective and very efficient to capture water tide. Finally the method is applied to capturethe tide in the gulf of Qiantangjiang river. The results of numerical computations with both flatbottom and real bottom are compared with the measured data. The numerical results predict themovement of tide which is similar to the observed one. Additionally the computed water level onobserving station conforms to the measured data. But the di

关 键 词：网格自适应 非结构网格 涌潮 水跃 钱塘江潮 

分 类 号：P731.23[天文地球—海洋科学]