|
|
|
| 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.
|
|
Received: 14 November 2013
|
|
|
|
| [1]李平,马放.松花江流域水环境BOD-DO模拟及参数分析[J].江苏大学学报:自然科学版,2013,34(2):222-227. Li Ping, Ma Fang. BOD-DO simulation and parameter analysis of Songhua River watershed [J].Journal of Jiangsu University:Natural Science Edition, 2013,34(2):222-227.(in Chinese)[2]Ye J, McCorquodale J. Simulation of curved open channel flows by 3D hydrodynamic model[J]. Journal of Hydraulic Engineering, 1998, 124(7): 687-698.[3]Wu W, Rodi W, Wenka T. 3D numerical modeling of flow and sediment transport in open channels[J]. Journal of Hydraulic Engineering, 2000, 126(1): 4-15.[4]华祖林, 王惠民, 许协庆. 正交曲线坐标下三维代数应力通量模型[J].水动力学研究与进展, 2001, 16(2): 131-142. Hua Zulin, Wang Huimin, Xu Xieqing. Three-dimensional algebraic model for stresses and scalar fluxes in curvilinear orthogonal coordinates[J]. Journal of Hydrodynamics,2001,16(2):131-142.(in Chinese)[5]吴修广, 沈永明, 黄世昌. 非正交曲线坐标下三维弯曲河流湍流数学模型[J].水力发电学报, 2005, 24(4): 36-41. Wu Xiuguang, Shen Yongming,Huang Shichang. 3-D turbulent model of meandering river in non-orthogonal curvilinear coordinates[J].Journal of Hydroelectric Engineering, 2005,24(4):36-41.(in Chinese)[6]张明亮, 沈永明. RNG k-ε 湍流模型在三维弯曲河流中的应用[J]. 水力发电学报, 2007,26(5):86-91. Zhang Mingliang, Shen Yongming. Application of 3-D RNG k-ε turbulence model of meandering river[J]. Journal of Hydroelectric Engineering, 2007,26(5):86-91.(in Chinese)[7]Malik S A, Guang P. Transient numerical simulations for hydrodynamic derivatives predictions of an axisymmetric submersible vehicle[J].Research Journal of Applied Sciences, Engineering and Technology,2013, 21(5): 5003-5011.[8]Liu Y, Zhao Y P, Dong G H, et al. A study of the flow field characteristics around star-shaped artificial reefs[J].Journal of Fluids and Structures, 2013, 39: 27-40.[9]Lu C G, Qi Q J. Research into a theoretical mode of coherent structures in the wall region of a turbulent boun-dary layer induced by a wall local disturbance[J].Progress in Natural Science, 2009, 19(9): 1119-1124.[10]De Vriend H J. A mathematical model of steady flow in curved shallow channels[J]. Journal of Hydraulic Research, 1977, 15(1): 37-54.[11]Lele S K. Compact finite difference schemes with spectral-like resolution[J]. Journal of Computational Phy-sics, 1992, 103(1): 16-42.[12]Naot D. Response of channel flow to roughness heterogeneity[J].Journal of Hydraulic Engineering, 1984, 110(11): 1568-1587. |
|
|
|
