APPLICATION OF LBM-SGS MODEL TO FLOWS IN A PUMPING-STATION FOREBAY  

作　　者：TANG Xue-lin WANG Wu-chang WANG Fu-jun YU Xin CHEN Zhi-cong SHI Xiao-yan 

机构地区：[1]College of Water Conservancy and Civi, Engineering, China Agricultural University, Beijing 100083, China [2]College of Water Conservancy and Civil Engineering, China Agricultural University, Beijing 100083, China [3]Yellow River Institute of Hydraulic Research, Zhengzhou 450003, China [4]State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China

出　　处：《Journal of Hydrodynamics》2010年第2期196-206,共11页水动力学研究与进展B辑（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 50779069);the Beijing Natural Science Foundation (Grant No. 3083022);the Open Fund of Key Laboratory of Yellow River Sediment Research of the Ministry of Water Resources (Grant No. 200903);the National Science and Technology Supporting Programs in the 11th Five-Year Plan (Grant No. 2006BAB06B02);the Chinese Universities Scientific Fund (Grant Nos. 2009-1-90, 2009-2-12);the Program for Changjiang Scholars and Innovative Research Team in University (Grant No. PCSIRT0657)

摘　　要：A 2-D Lattice Boltzmann Method（LBM） coupled with a Sub-Grid Stress（SGS） model is proposed and validated by flows around a non-submerged spur dike in a channel.And then the LBM-SGS model is further applied to flows in a pumping-station forebay.Shallow water equations are numerically solved by the LBM and the turbulence can be taken into account and modeled efficiently by the Large Eddy Simulation（LES） model.The bounce-back scheme of the non-equilibrium part of the distribution function is used at the inlet boundary,the normal gradient of the distribution function is set as zero at the outlet boundary and the bounce-back scheme is applied to the solid wall to ensure non-slip boundary conditions.Firstly,the model successfully predicts the flow characteristics around a spur dike,such as circulating flow,velocity and water depth distributions.The results are verified by the experimental data and compared to the results obtained by conventional Smagoringsky Model（SM） of LES.Finally,the LBM-SGS model is used to further predict the flow characteristics in a forebay,such as secondary flow and water level.The comparisons show that the model scheme has the capacity to simulate complex flows in shallow water with reasonable accuracy and reliability.A 2-D Lattice Boltzmann Method（LBM） coupled with a Sub-Grid Stress（SGS） model is proposed and validated by flows around a non-submerged spur dike in a channel.And then the LBM-SGS model is further applied to flows in a pumping-station forebay.Shallow water equations are numerically solved by the LBM and the turbulence can be taken into account and modeled efficiently by the Large Eddy Simulation（LES） model.The bounce-back scheme of the non-equilibrium part of the distribution function is used at the inlet boundary,the normal gradient of the distribution function is set as zero at the outlet boundary and the bounce-back scheme is applied to the solid wall to ensure non-slip boundary conditions.Firstly,the model successfully predicts the flow characteristics around a spur dike,such as circulating flow,velocity and water depth distributions.The results are verified by the experimental data and compared to the results obtained by conventional Smagoringsky Model（SM） of LES.Finally,the LBM-SGS model is used to further predict the flow characteristics in a forebay,such as secondary flow and water level.The comparisons show that the model scheme has the capacity to simulate complex flows in shallow water with reasonable accuracy and reliability.

关 键 词：2-D flow shallow water equation Lattice Boltzmann Method（LBM） Large Eddy Simulation（LES） non-submerged spur dike pumping-station forebay 

分 类 号：O358[理学—流体力学] TQ051.13[理学—力学]