长江科学院院报Issue(7)：6-9,26,5.DOI:10.3969/j.issn.1001-5485.2012.07.002
基于σ坐标变换和水位函数法的立面二维水动力学模型
A Vertical 2-D Hydrodynamic Model Based on the σ Coordinate Transformation and Surface Function Method
摘要
Abstract
Based on latest achievements in the calculation method of computational hydraulics, a vertical 2-D hydro-dynamic model under hydrodynamie pressure is employed to calculate the change of water movement along the depth direction in facade. In this model, the Navier-Stokes equation of Boussinesq-assumed incompressible Newtonian fluid is used as governing equations, and the cr coordinate transformation is conducted to simplify the calculation domain. Moreover, the governing equation is discretized through finite difference method, and the free surface flows are solved through surface function method in rectangular staggered meshes. The speed of entry and the hydrodynamie pressure are solved in the staggered mesh system through step-by-step solution. The model is used to simulate micro-amplitude wave motion, and the results are compared with theoretical values. The comparison shows that this vertical 2-D hydrodynamie model is of good precision.关键词
立面二维水动力学模型/σ坐标变换/水位函数法Key words
vertical 2-D hydrodynamie model/σ coordinate transformation/surface function method分类
建筑与水利引用本文复制引用
孙先,杨文俊,王国栋..基于σ坐标变换和水位函数法的立面二维水动力学模型[J].长江科学院院报,2012,(7):6-9,26,5.基金项目
国家自然科学基金(51079008) （51079008）
