A NEW IMPLICIT SCHEME FOR SOLVING 3-D SHALLOW WATER FLOWS

作     者：ZHANG Zhuo SONG Zhi-yao LV Guo-nian ZHANG Zhuo State Key Laboratory of Hydrology Water Resources and Hydraulic Engineering, Ocean College, Hohai University, Nanjing 210098, China, SONG Zhi-yao, LV Guo-nian Key Laboratory of Virtual Geographic Environment, Ministry of Education, Nanjing Normal University, Nanjing 210097, China

作者机构：State Key Laboratory of Hydrology Water Resources and Hydraulic Engineering Ocean College Hohai University Nanjing 210098 China Key Laboratory of Virtual Geographic Environment Ministry of Education Nanjing Normal University Nanjing 210097 China 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：2009年第21卷第6期

页      面：790-798页

核心收录：

学科分类：081504[工学-水利水电工程] 080103[工学-流体力学] 08[工学] 080104[工学-工程力学] 081502[工学-水力学及河流动力学] 0815[工学-水利工程] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China (Grant No.40730527) the Public Fund Project from Ministry of Water Resources (Grant No.200701026) the Open Fund of State Key Laboratory of Resource and Environment Information System,Hohai University,(Grant No.2007491211) 

主　　题：shallow water equation ADI method wind-induced flow gravity-drived flow tidal flow 

摘      要：Based on the improved ADI method, this article proposes an improved implicit finite difference scheme for solving 3-D shallow water flows. The main objective is to design a numerical relation between the horizontal velocity on each layer and the depth-averaged velocity for employing the improved ADI method. With the free surface elevation and the depth-averaged velocity obtained by using essentially 2-D depth-averaged mode, the velocity profiles can be obtained easily and simultaneously. The wind-induced flows, the open channel flows due to the pressure gradient and the tidal flows in coastal waters are simulated, and the results are consistent well with the analytical solution and the field data, which shows that the present implicit scheme is stable and effective, and the established model is practical. Moreover, when only one vertical layer is specified, the present 3-D numerical model is reducea to the 2-D depth-averaged model.