A new depth-integrated non-hydrostatic model for free surface flows  

作　　者：GUO XiaoMing KANG Ling JIANG TieBing 

机构地区：[1]School of Hydropower and Information Engineering,Huazhong University of Science and Technology

出　　处：《Science China(Technological Sciences)》2013年第4期824-830,共7页中国科学（技术科学英文版）

基　　金：supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20110142110064);the Ministry of Water Resources’ Science and Technology Promotion Plan Program of China (Grant No. TG1316)

摘　　要：A new depth-integrated model deploying a non-hydrostatic pressure distribution is presented.With the pressure divided into hydrostatic and dynamic components,the horizontal momentum equations were obtained by integrating the Navier-Stokes equations from the bottom to the free surface.The vertical momentum equation,in which the convective and viscosity terms were omitted,was approximated by the Keller-box scheme.The model has two steps.First,the dynamic pressure gradient terms were discretized semi-implicitly and the other terms were in explicit scheme.Second,the velocities expressed as the unknown dynamic pressure were substituted into the continuity equation,resulting in a five-diagonal symmetric matrix linear system that was solved by the conjugate gradient method.The model was validated with the propagation of a solitary wave and sinusoidal wave,indicating that it can predict free surface flows well.

关 键 词：depth-integrated free surface non-hydrostatic pressure WAVES 

分 类 号：TV131[水利工程—水力学及河流动力学]