水力发电学报2014，Vol.33Issue(3)：143-149,7.
完全三维自由表面非静水压力流动数学模型I:算法
Fully three-dimensional non-hydrostatic pressure numerical model for free surface flows I.Numerical scheme
吕彪 1王志平 2黎国森 1李少希1
作者信息
- 1. 交通运输部天津水运工程科学研究所工程泥沙交通行业重点实验室,天津300456
- 2. 舟山港股份有限公司,浙江省舟山市 316000
- 折叠
摘要
Abstract
To accurately simulate water wave flows with free surface,a fully three-dimensional non-hydrostatic pressure model has been developed by using a finite-volume formulation that solves the three-dimensional Navier-Stokes equations on a staggered z-level grid,focusing on simulation of non-hydrostatic processes in free-surface flow.The advection and diffusion terms in the momentum equation are discretized with a conservative Euler scheme that conserves momentum of each cell.To minimize the number of vertical layers and subsequently the computational cost,a method of integrating the vertical momentum equation is used for the top layer.In comparison with the three-dimensional models with vertical layers,this new model can account for the full effects of non-hydrostatic pressure in the free-surface layer and thus it is simple,conservative and efficient.关键词
水力学/完全三维数学模型/交错网格/自由表面流动Key words
hydraulics/ fully three-dimensional numerical model/ staggered grid/ free surface flows分类
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吕彪,王志平,黎国森,李少希..完全三维自由表面非静水压力流动数学模型I:算法[J].水力发电学报,2014,33(3):143-149,7.
