Depth-integrated flow modelling taking into account bottom curvature

被引：38

作者：

Dewals, B. J. ^{[1
]}

Erpicum, S. ^{[1
]}

Archambeau, P. ^{[1
]}

Detrembleur, S. ^{[1
]}

Pirotton, M. ^{[1
]}

机构：

[1] Univ Liege, Lab Appl Hydrodynam & Hydraul Construct, HACH, B-4000 Liege, Belgium

来源：

JOURNAL OF HYDRAULIC RESEARCH | 2006年 / 44卷 / 06期

关键词：

shallow water; finite volume; curvilinear coordinates; spillway; reservoir; numerical model;

D O I：

10.1080/00221686.2006.9521729

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

Successfully modelling flows over a spillway and on strongly vertically curved bottoms is a challenge for any depth-integrated model. This type of computation requires the use of axes properly inclined along the mean flow direction in the vertical plane and a modelling of curvature effects. The proposed generalized model performs such computations by means of suitable curvilinear coordinates in the vertical plane, leading to a fully integrated approach. This means that the flows in the upstream reservoir, on the spillway, in the stilling basin and in the downstream river reach are all handled in a single simulation. The velocity profile is generalized in comparison with the uniform one usually assumed in the classical shallow water equations. The pressure distribution is modified as a function of the bottom curvature and is thus not purely hydrostatic. Representative test cases, as well as the application of the extended model to the design of a large hydraulic structure in Belgium, lead to satisfactory validation results.

引用

页码：785 / 795

页数：11