水力发电学报2011,Vol.30Issue(6):221-229,9.
基于无结构、σ坐标网格的半隐式三维水沙数学模型Ⅰ-算法
3-D hydrodynamic model for free-surface flows and sediment transport on unstructured σ-coordinate grid.Part I.Numerical scheme
摘要
Abstract
A formulation of 3-D hydrodynamic model is proposed for simulation of complex free-surface flows and sediment transport in natural rivers on unstructured,σ-coordinate grids.Two computation steps are adopted to solve the equations with a pressure-splitting and θ semi-implicit method.First,free surface and provisional velocity filed are obtained by solving a 2-D Poisson equation;second,non-hydrostatic pressures are computed by solving a 3-D Poisson equation and the provisional velocity filed is corrected.In constructing this 3-D Poisson equation,the methods of BOM model were adopted,while its mode-split technique was discarded to overcome the inconsistencies.In the sediment transport model that was developed on the hydrodynamic model,an Eulerian-Lagrangian Method(ELM) is used to solve the governing equations,so that the computation time steps are not restricted to the CFL stability conditions.关键词
泥沙动力学/三维/数学模型/水流/泥沙/无结构网格/σ坐标/自由水面Key words
sediment dynamics/three dimension/numerical model/flows/sediment/unstructured grid/σ-coordinate/free surface分类
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胡德超,张红武,哈岸英,赵维阳..基于无结构、σ坐标网格的半隐式三维水沙数学模型Ⅰ-算法[J].水力发电学报,2011,30(6):221-229,9.基金项目
国家自然科学基金项目 ()
国家重点基础研究发展计划 ()