Modeling Free-Surface Flow in Rectangular Shallow Basins by Using Lattice Boltzmann Method
Publication: Journal of Hydraulic Engineering
Volume 137, Issue 12
Abstract
The free-surface flows in rectangular basins are studied by the lattice Boltzmann model for shallow-water equations including flow turbulence (LABSWE). Asymmetrical flows occurring in the basins with different ratios of length to width are simulated. The predicted results are compared with corresponding experiments and show reasonable agreement. This indicates that the present model can produce solutions with accuracy similar to the conventional method with an algebraic model for flow turbulence. Furthermore, the effects of the Froude number and bed friction on flow asymmetry and reattachment length are investigated. The results show that the flow becomes less asymmetrical and the reattachment length grows with the increase of either the Froude number or bed friction.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors are very grateful to Dr. H. F. Liu for his suggestions on this paper. The first author has been supported by the China Scholarship Council and the Overseas Research Students Awards Scheme (ORSAS, UK).
References
Babarutsi, S., Garioulis, J., and Chu, V. H. (1989). “Experimental investigation of shallow recirculating flows.” J. Hydraul. Eng., 115(7), 906–924.
Babarutsi, S., Nassiri, M., and Chu, V. H. (1996). “Computation of shallow recirculation flow dominated by friction.” J. Hydraul. Eng., 122(7), 367–372.
Chen, D. Y., and Jirka, G. H. (1997). “Absolute and convective instabilities of plane turbulent wakes in a shallow water layer.” J. Fluid Mech., 338, 157–172.
Dewals, B. J., Kantoush, S. A., Erpicum, S., Pirotton, M., and Schleiss, A. J. (2008). “Experimental and numerical analysis of flow instabilities in rectangular shallow basins.” Environ. Fluid Mech., 8(1), 31–54.
Dufresne, M., Dewals, B., Erpicum, S., Archambeau, P., and Pirotton, M. (2010a). “Classification of flow patterns in rectangular shallow reservoirs.” J. Hydraul. Res., 48(2), 197–204.
Dufresne, M., Dewals, B., Erpicum, S., Archambeau, P., and Pirotton, M. (2010b). “Experimental investigation of flow pattern and sediment deposition in rectangular shallow reservoirs.” Int. J. Sediment Res., 25(3), 258–270.
Dufresne, M., Dewals, B., Erpicum, S., Archambeau, P., and Pirotton, M. (2011). “Numerical investigation of flow patterns in rectangular shallow reservoirs.” Eng. Appl. Comput. Fluid Mech., 5(2), 247–258.
Graber, S. D. (1982). “Asymmetric flow in symmetric expansions.” J. Hydraul. Div., 108(10), 1082–1101.
Liu, H., Zhou, J. G., and Burrows, R. (2009a). “Lattice Boltzmann model for shallow water flows in curved and meandering channel.” Int. J. Comput. Fluid Dyn., 23(3), 209–220.
Liu, H., Zhou, J. G., and Burrows, R. (2009b). “Numerical modeling of turbulent compound channel flow using the lattice Boltzmann method.” J. Numer. Mech. Fluid, 59, 753–765.
Mullin, T., Shipton, S., and Tavener, S. J. (2003). “Flow in a symmetric channel with an expanded section.” Fluids Dyn. Res., 33(5–6), 433–452.
Oca, J., Masaló, I., and Reig, L. (2004). “Comparative analysis of flow patterns in aquaculture rectangular tanks with different water inlet characteristics.” Aquac. Eng., 31(3–4), 221–236.
Zhou, J. G. (2004). Lattice Boltzmann methods for shallow water flows, Springer, Berlin.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 137 • Issue 12 • December 2011
Pages: 1680 - 1685
Copyright
© 2011 American Society of Civil Engineers.
History
Received: May 30, 2009
Accepted: Jun 6, 2011
Published online: Nov 15, 2011
Published in print: Dec 1, 2011
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.