A numerical scheme for two-dimensional, open channel flows with non-rectangular geometries

1993 ◽  
Vol 31 (7) ◽  
pp. 1003-1011 ◽  
Author(s):  
P. Glaister
1973 ◽  
Vol 26 (3) ◽  
pp. 327 ◽  
Author(s):  
MJ Manton

The asymptotic representation of the distribution of a passive scalar within a two-dimensional channel flow is derived. The distribution is shown to be Gaussian with a skewness and longitudinal variance determined primarily by the mean shear. The distributions corresponding to both laminar and turbulent open channel flows are discussed.


2018 ◽  
Vol 40 ◽  
pp. 05024 ◽  
Author(s):  
Sébastien Proust ◽  
Vladimir Nikora

The structure of free-surface flows is experimentally investigated in a laboratory flume with a compound cross-section consisting of a central main channel (MC) and two adjacent floodplains (FPs). The study focuses on the effects of transverse currents on: (i) mixing layers and quasi-two-dimensional coherent structures at the interfaces between MC and FPs; (ii) secondary currents developing across the channel; and (iii) large and very-large-scale motions that were recently observed in non-compound open channel flows. Transverse currents represent spanwise depth- and time-averaged flow from MC to FPs or vice versa. The study is based on one-point and two-point ADV measurements. Streamwise non-uniform flows are generated by imposing an imbalance in the discharge distribution between MC and FPs at the flume entrance, keeping the total flow rate the same for all scenarios. It is shown that even small transverse currents can be very effective in flow modification, as they can significantly displace the mixing layer, shear-layer turbulence, and coherent structures towards MC or FP, depending on the current direction. They can also alter the distribution and strength of the secondary currents. The interactions of quasi-two-dimensional coherent structures, very-large-scale motions, and secondary currents at different conditions are also part of this study.


1989 ◽  
Vol 206 ◽  
pp. 155-170 ◽  
Author(s):  
Frrédéric Dias ◽  
Jean-Marc Vanden-Broeck

Free-surface flows past a submerged triangular obstacle at the bottom of a channel are considered. The flow is assumed to be steady, two-dimensional and irrotational; the fluid is treated as inviseid and incompressible and gravity is taken into account. The problem is solved numerically by series truncation. It is shown that there are solutions for which the flow is suberitical upstream and supercritical downstream and other flows for which the flow is supercritical both upstream and downstream. The latter flows have limiting configurations with a stagnation point on the free surface with a 120° angle at it. It is found that solutions exist for triangular obstacles of arbitrary size. Local solutions are constructed to describe the flow near the apex when the height of the triangular obstacle is infinite.


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