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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

胡德超 张红武 哈岸英 赵维阳

水力发电学报2011,Vol.30Issue(6):221-229,9.
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

胡德超 1张红武 2哈岸英 1赵维阳3

作者信息

  • 1. 清华大学水沙科学与水利水电工程国家重点实验室,北京100084
  • 2. 长江科学院河流研究所,武汉430010
  • 3. 西安理工大学,西安710048
  • 折叠

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

建筑与水利

引用本文复制引用

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 ()

水力发电学报

OA北大核心CSCDCSTPCD

1003-1243

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