NUMERICAL SOLUTION FOR TIDAL FLOW IN OPENING CHANNEL USING COMBINED MACCORMACK - FINITE ANALYSIS METHOD

• Published in: Journal of hydrodynamics. Series B Vol. 21; no. 4; pp. 505 - 511
• Main Authors: WU, Zhao-chun, WANG, Dao-zeng
• Format: Journal Article
• Language: English
• Published: Singapore Elsevier Ltd 01.08.2009; Springer Singapore; School of Construction and Safety Engineering, Shanghai Institute of Technology, Shanghai 200235, China%Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
• Subjects: Channels; Computational fluid dynamics; Computer simulation; Convergence; Engineering; Engineering Fluid Dynamics; finite analysis method; Fluid flow; Freshwater; Hydrology/Water Resources; MacCormack technique; Mathematical analysis; Mathematical models; Numerical and Computational Physics; numerical simulation; shallow water equation; Simulation; Tidal flow; 数值解法; 有限元分析方法; 有限分析法; 正交曲线坐标系; China, People's Rep., Shanghai, Huangpu R; finite analysis method; shallow water equation; MacCormack technique; tidal flow; numerical simulation
• ISSN: 1001-6058; 1878-0342
• DOI: 10.1016/S1001-6058(08)60177-8

A new numerical scheme for solving the tidal flow in an opening channel using the advective-diffusion shallow-water equations as the governing equations is proposed based on the combination of the MacCormack and the finite analysis methods. In the present scheme, the finite analysis method is used to discretize the momentum equation and the MacCormack technique is used to discretize the continuity equation in a single grid system. The matrix of the discretized momentum equation is characterized by predominantly main diagonal elements, which ensures favorable convergence and stability for the numerical simulation by the combined method. To verify the present method, hydraulics simulation is carried out for a section down mainstream of the Huangpu River. The computational results agree with the measured data. By use of orthogonal curvilinear coordinate system, the methods can be easily extended to the numerical simulation of the tidal flow in a tortuous channel.