Discussion of “Vertical 2D Nonhydrostatic Model Using Mode Splitting for Dam-Break Flows” by Yonghui Zhu and Dechao Hu
This article is a reply.
VIEW THE ORIGINAL ARTICLEPublication: Journal of Hydraulic Engineering
Volume 145, Issue 10
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work was supported by the Spanish project CTM2017-85171-C2-1-R.
References
Bonneton, P., E. Barthélemy, F. Chazel, R. Cienfuegos, D. Lannes, F. Marche, and M. Tissier. 2011. “Recent advances in Serre-Green-Naghdi modelling for wave transformation, breaking and runup processes.” Eur. J. Mech. Fluids 30 (6): 589–597. https://doi.org/10.1016/j.euromechflu.2011.02.005.
Cantero-Chinchilla, F. N., O. Castro-Orgaz, S. Dey, and J. L. Ayuso. 2016. “Nonhydrostatic dam break flows I: Physical equations and numerical schemes.” J. Hydraul. Eng. 142 (12): 04016068. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001205.
Cantero-Chinchilla, F. N., O. Castro-Orgaz, and A. A. Khan. 2018. “Depth-integrated nonhydrostatic free-surface flow modelling using weighted-averaged equations.” Int. J. Numer. Methods Fluids 87 (1): 27–50. https://doi.org/10.1002/fld.4481.
Castro-Orgaz, O., and H. Chanson. 2017. “Ritter’s dry-bed dam-break flows: Positive and negative wave dynamics.” Environ. Fluid Mech. 17 (4): 665–694. https://doi.org/10.1007/s10652-017-9512-5.
Castro-Orgaz, O., and W. H. Hager. 2017. “Non-hydrostatic free surface flows.” In Advances in Geophysical and Environmental Mechanics and Mathematics. Berlin: Springer.
Cienfuegos, R., E. Barthélemy, and P. Bonneton. 2006. “A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. I: Model development and analysis.” Int. J. Num. Method Fluids 51 (11): 1217–1253. https://doi.org/10.1002/fld.1141.
Erduran, K. S., S. Ilic, and V. Kutija. 2005. “Hybrid finite-volume finite-difference scheme for the solution of Boussinesq equations.” Int. J. Numer. Methods Fluids 49 (11): 1213–1232. https://doi.org/10.1002/fld.1021.
Gottlieb, S., C.-W. Shu, and E. Tadmor. 2001. “Strong stability-preserving high-order time discretization methods.” SIAM Rev. 43 (1): 89–112. https://doi.org/10.1137/S003614450036757X.
Green, A. E., and P. M. Naghdi. 1976a. “A derivation of equations for wave propagation in water of variable depth.” J. Fluid Mech. 78 (2): 237–246. https://doi.org/10.1017/S0022112076002425.
Green, A. E., and P. M. Naghdi. 1976b. “Directed fluid sheets.” Proc. R. Soc. London 347 (1651): 447–473. https://doi.org/10.1098/rspa.1976.0011.
Hoffman, J. D. 2001. Numerical methods for engineers and scientists. 2nd ed. New York: Marcel Dekker.
Hosoda, T., and A. Tada. 1994. “Free surface profile analysis on open channel flow by means of 1-D basic equations with effect of vertical acceleration.” Annu. J. Hydraul. Eng. 38: 457–462. https://doi.org/10.2208/prohe.38.457.
Khan, A. A., and P. M. Steffler. 1996. “Vertically averaged and moment equations model for flow over curved beds.” J. Hydraul. Eng. 122 (1): 3–9. https://doi.org/10.1061/(ASCE)0733-9429(1996)122:1(3).
Kim, D.-H., and P. J. Lynett. 2011. “Dispersive and nonhydrostatic pressure effects at the front of surge.” J. Hydraul. Eng. 137 (7): 754–765. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000345.
Mignot, E., and R. Cienfuegos. 2009. “On the application of a Boussinesq model to river flows including shocks.” Coastal Eng. 56 (1): 23–31. https://doi.org/10.1016/j.coastaleng.2008.06.007.
Mohapatra, P. K., and M. H. Chaudhry. 2004. “Numerical solution of Boussinesq equations to simulate dam-break flows.” J. Hydraul. Eng. 130 (2): 156–159. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:2(156).
Mohapatra, P. K., V. Eswaran, and S. M. Bhallamudi. 1999. “Two-dimensional analysis of dam-break flow in vertical plane.” J. Hydraul. Eng. 125 (2): 183–192. https://doi.org/10.1061/(ASCE)0733-9429(1999)125:2(183).
Ozmen-Cagatay, H., and S. Kocaman. 2010. “Dam-break flows during initial stage using SWE and RANS approaches.” J. Hydraul. Res. 48 (5): 603–611. https://doi.org/10.1080/00221686.2010.507342.
Seabra-Santos, F. J., D. P. Renouard, and A. M. Temperville. 1987. “Numerical and experimental study of the transformation of a solitary wave over a shelf or isolated obstacle.” J. Fluid Mech. 176 (1): 117–134. https://doi.org/10.1017/S0022112087000594.
Serre, F. 1953. “Contribution à l’étude des écoulements permanents et variables dans les canaux” [Contribution to the study of steady and unsteady channel flows]. [In French.] La Houille Blanche 8 (3–7): 374–388. https://doi.org/10.1051/lhb/1953034.
Steffler, P. M., and Y. C. Jin. 1993. “Depth-averaged and moment equations for moderately shallow free surface flow.” J. Hydraul. Res. 31 (1): 5–17. https://doi.org/10.1080/00221689309498856.
Toro, E. F. 2001. Shock-capturing methods for free-surface shallow flows. Chichester, UK: John Wiley & Sons.
Information & Authors
Information
Published In
Copyright
©2019 American Society of Civil Engineers.
History
Received: Sep 3, 2018
Accepted: Jan 10, 2019
Published online: Aug 8, 2019
Published in print: Oct 1, 2019
Discussion open until: Jan 8, 2020
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.