New method of investigation on 3D hydrodynamic model in curvilinear coordinates
Wu Weiguo1, Shen Luyu2, Xue Shifeng1
1.College of Pipeline and Civil Engineering, China University of Petroleum, Qingdao, Shandong 266555, China; 2.School of Marine Science, Nanjing University of Information Science & Technology, Nanjing, Jiangsu 210044, China
Abstract：A numerical method for solving three-dimensional hydrodynamic model in curvilinear coordinates was presented. High-order and high-resolution compact finite difference scheme and upwind compact finite difference scheme for nonlinear terms were used as spatial discretization,and the time integration was accomplished by 4th-order modified Runge-Kutta scheme. To verify the numerical me-thod, the same physical parameters of De Vriend's 180° curved channel test were used in the simulation. The results show that, the new numerical results are closer to the experimental data than the results calculated by using SIMPLEC. The maximum relative error between numerical and experimental average velocity results is less than 3%. It is proved that the numerical method presented is feasible and rational. To sum up, it is an efficient, feasible and rational way to numerically solve hydrodynamic problems, and can be used in many engineering computations of territorial waters as natural rivers, open channels and lakes with arbitrary complex boundaries.
吴卫国, 沈露予, 薛世峰. 曲线坐标系下三维水动力模型求解新方法[J]. 排灌机械工程学报, 2014, 32(4): 333-337.
Wu Weiguo, Shen Luyu, Xue Shifeng. New method of investigation on 3D hydrodynamic model in curvilinear coordinates. Journal of Drainage and Irrigation Machinery Engin, 2014, 32(4): 333-337.
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