A VERTICAL 2D MATHEMATICAL MODEL FOR HYDRODYNAMIC FLOWS WITH FREE SURFACE IN σ COORDINATE  

作　　者：ZHANG Jing-xin LIU Hua XUE Lei-ping 

机构地区：[1]School of Naval Architecture Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, China

出　　处：《Journal of Hydrodynamics》2006年第1期82-90,共9页水动力学研究与进展B辑（英文版）

基　　金：Project supported by the National Nature Science Foundation of China (Grant No :10172058) and Ministry of Education of China through the Ph.D. Program(Grant No :2000024817)

摘　　要：Numerical models with hydrostatic pressure have been widely utilized in studying flows in rivers, estuaries and coastal areas. The hydrostatic assumption is valid for the large-scale surface flows where the vertical acceleration can be ignored, but for some particular cases the hydrodynamic pressure is important. In this paper, a vertical 2t） mathematical model with non-hydrostatic pressure was implemented in the σ coordinate. A fractional step method was used to enable the pressure to be decomposed into hydrostatic and hydrodynamic components and the predictor-corrector approach was applied to integration in time domain. Finally, several computational cases were studied to validate the importance of contributions of the hydrodynamic pressure.Numerical models with hydrostatic pressure have been widely utilized in studying flows in rivers, estuaries and coastal areas. The hydrostatic assumption is valid for the large-scale surface flows where the vertical acceleration can be ignored, but for some particular cases the hydrodynamic pressure is important. In this paper, a vertical 2t） mathematical model with non-hydrostatic pressure was implemented in the σ coordinate. A fractional step method was used to enable the pressure to be decomposed into hydrostatic and hydrodynamic components and the predictor-corrector approach was applied to integration in time domain. Finally, several computational cases were studied to validate the importance of contributions of the hydrodynamic pressure.

关 键 词：vertical 2D model free surface flow semiimplicit NON-HYDROSTATIC 

分 类 号：TV131.1[水利工程—水力学及河流动力学]