Experimental and numerical analysis of flow instabilities in rectangular shallow basins

被引：64

作者：

Dewals, B. J. ^{[1
,3
]}

Kantoush, S. A. ^{[2
]}

Erpicum, S. ^{[1
]}

Pirotton, M. ^{[1
]}

Schleiss, A. J. ^{[2
]}

机构：

[1] Univ Liege, HACH,Secteur MS2F, Dept ArGEnCo, Lab Appl Hydrodynam & Hydraul Construct, B-4000 Liege, Belgium

[2] Ecole Polytech Fed Lausanne, Lab Hydraul Construct, CH-1015 Lausanne, Switzerland

[3] Belgian Natl Fund Sci Res, FRS FNRS, Brussels, Belgium

来源：

ENVIRONMENTAL FLUID MECHANICS | 2008年 / 8卷 / 01期

关键词：

depth-averaged model; finite volume; reservoir hydrodynamics; shallow flow; stability analysis;

D O I：

10.1007/s10652-008-9053-z

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

Free surface flows in several shallow rectangular basins have been analyzed experimentally, numerically and theoretically. Different geometries, characterized by different widths and lengths, are considered as well as different hydraulic conditions. First, the results of a series of experimental tests are briefly depicted. They reveal that, under clearly identified hydraulic and geometrical conditions, the flow pattern is found to become non-symmetric, in spite of the symmetrical inflow conditions, outflow conditions and geometry of the basin. This non-symmetric motion results from the growth of small disturbances actually present in the experimental initial and boundary conditions. Second, numerical simulations are conducted based on a depth-averaged approach and a finite volume scheme. The simulation results reproduce the global pattern of the flow observed experimentally and succeed in predicting the stability or instability of a symmetric flow pattern for all tested configurations. Finally, an analytical study provides mathematical insights into the conditions under which the symmetric flow pattern becomes unstable and clarifies the governing physical processes.

引用

页码：31 / 54

页数：24

共 30 条

[1] Bed shear stress boundary condition for storage tank sedimentation [J].