Discussion of “Modeling the Spatial Evolution of Roll Waves with Diffusive Saint Venant Equations” by Ziyi Huang and Jin-Jen Lee
This article is a reply.
VIEW THE ORIGINAL ARTICLEPublication: Journal of Hydraulic Engineering
Volume 142, Issue 9
HY.1943-7900.0001131/asset/bc21658b-02a8-451c-8c99-86b493d5bff2/assets/(asce)hy.1943-7900.0001131.fp.png)
Get full access to this article
View all available purchase options and get full access to this article.
References
Balmforth, N. J., and Mandre, S. (2004). “Dynamics of roll waves.” J. Fluid Mech., 514, 1–33.
Brock, R. R. (1967). “Development of roll waves in open channels.”, California Institute of Technology, Pasadena, CA.
Cao, Z. X., Hu, P. H., Hu, K. H., Pender, G., and Liu, Q. Q. (2015). “Modelling roll waves with shallow water equations and turbulent closure.” J. Hydraul. Res., 53(2), 161–177.
Cornish, V. (1934). Ocean waves and kindred geophysical phenomena, Cambridge University Press, London.
Dressler, R. F. (1949). “Mathematical solution of the problem of roll-waves in inclined open channels.” Commun. Pure Appl. Math., 2(2–3), 149–194.
Jeffreys, H. J. (1925). “The flow of water in an inclined channel of rectangular section.” Phil. Mag., 49(293), 793–807.
Kranenburg, C. (1992). “On the evolution of roll waves.” J. Fluid Mech., 245(-1), 249–261.
Liu, Q. Q., Chen, L., Li, J. C., and Singh, V. P. (2005). “Roll waves in overland flow.” J. Hydrol. Eng., 110–117.
Needham, D. J., and Merkin, J. H. (1984). “On roll waves down an open inclined channel.” Proc. R. Soc. London A, 394(1807), 259–278.
Richard, G. L., and Gavrilyuk, S. L. (2012). “A new model of roll waves: Comparison with Brock’s experiments.” J. Fluid Mech., 698, 374–405.
Toro, E. F. (2001). Shock-capturing methods for free-surface shallow flows, Wiley, Chichester, U.K.
Yu, J., and Kevorkian, J. (1992). “Nonlinear evolution of small disturbances into roll waves in an inclined open channel.” J. Fluid Mech., 243, 575–594.
Zanuttigh, B., and Lamberti, A. (2002). “Roll waves simulation using shallow water equations and weighted average flux method.” J. Hydraul. Res., 40(5), 610–622.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 142 • Issue 9 • September 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Feb 13, 2015
Accepted: Mar 30, 2015
Published online: Jun 27, 2016
Published in print: Sep 1, 2016
Discussion open until: Nov 27, 2016
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.