Simulating Velocity Distribution of Dam Breaks with the Particle Method
Publication: Journal of Hydraulic Engineering
Volume 140, Issue 10
Abstract
This paper provides a quantitative comparison of a benchmarking dam-break case simulated by a particle method. The velocity comparison is usually absent in particle-method simulation, but both the water surface and velocity distribution are presented in this study. Various velocity profiles are shown at different sections located either upstream or downstream of the gate position of the initial water column. The effects of a turbulence model and particle size are then discussed to show the necessity of using a turbulence model in particle method. The comparisons show good agreement in both the water surface profiles and velocity distributions. The utilization of turbulence model and roughness coefficient in moving particle Semiimplicit (MPS) method improves the velocity distribution compared with the standard MPS method. A quantitative comparison of velocity distribution on the basis of relative root mean squared error (RRMSE) value was also executed to show the capacity of MPS method in simulating fluid flow. This study indicates that the particle method is capable of reproducing both the velocity distribution and water surface in a dam-break simulation.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research was supported in part by the Natural Sciences and Engineering Research Council of Canada.
References
Ataie-Ashtiani, B., and Farhadi, L. (2006). “A stable moving-particle semi-implicit method for free surface flows.” Fluid Dyn. Res., 38(4), 241–256.
Chanson, H. (2006). “Analytical solutions of laminar and turbulent dam break wave.” Proc., Int. Conf. on Fluvial Hydraulics River Flow 2006, R. M. L. Ferreira, E. C. T. L. Alves, J. G. A. B. Leal, and A. H. Cardoso, eds., Vol. 1, Balkema, Taylor & Francis Group, London, 465–474.
Chanson, H. (2009). “Application of the method of characteristics to the dam break wave problem.” J. Hydraul. Res., 47(1), 41–49.
Crespo, A., Gómez-Gesteira, M., and Dalrymple, R. (2008). “Modeling dam break behavior over a wet bed by a SPH technique.” J. Waterway Port Coastal Ocean Eng., 313–320.
Fraccarollo, L., and Toro, E. (1995). “Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems.” J. Hydraul. Res., 33(6), 843–864.
Fu, L., and Jin, Y. C. (2013). “A mesh-free method boundary condition technique in open channel flow simulation.” J. Hydraul. Res., 51(2), 174–185.
Gingold, R. A., and Monaghan, J. J. (1977). “Smoothed particle hydrodynamics—Theory and application to non-spherical stars.” Mon. Not. R. Astron. Soc., 181(2), 375–389.
Gómez-Gesteira, M., and Dalrymple, R. A. (2004). “Using a 3D SPH method for wave impact on a tall structure.” J. Waterway Port Coastal Ocean Eng., 63–69.
Gotoh, H., Shibahara, T., and Sakai, T. (2001). “Sub-particle-scale turbulence model for the MPS method: Lagrangian flow model for hydraulic engineering.” Comput. Fluid Dyn., 9(4), 339–347.
Hu, C., and Sueyoshi, M. (2010). “Numerical simulation and experiment on dam break problem.” J. Mar. Sci. Appl., 9(2), 109–114.
Khayyer, A., and Gotoh, H. (2010). “On particle-based simulation of a dam break over a wet bed.” J. Hydraul. Res., 48(2), 238–249.
Koshizuka, S., and Oka, Y. (1996). “Moving particle semi-implicit method for fragmentation of incompressible fluid.” Nucl. Sci. Eng., 123(3), 421–434.
Koshizuka, S., Ikeda, H., and Oka, Y. (1999). “Numerical analysis of fragmentation mechanisms in vapor explosions.” Nucl. Eng. Des., 189(1–3), 423–433.
LaRocque, L., Imran, J., and Chaudhry, M. (2013). “Experimental and numerical investigations of two-dimensional dam-break flows.” J. Hydraul. Eng., 569–579.
Lauber, G., and Hager, W. (1998). “Experiments to dambreak wave: Horizontal channel.” J. Hydraul. Res., 36(3), 291–307.
Lee, E. S., Moulinec, C., Xu, R., Violeau, D., Laurence, D., and Stansby, P. (2008). “Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method.” J. Comput. Phys., 227(18), 8417–8436.
Liu, G. R., and Liu, M. B. (2003). Smoothed particle hydrodynamics: A meshfree particle method, World Scientific, Singapore.
Oertel, M., and Bung, D. B. (2012). “Initial stage of two-dimensional dam-break waves: Laboratory versus VOF.” J. Hydraul. Res., 50(1), 89–97.
Ozmen-Cagatay, H., and Kocaman, S. (2010). “Dam-break flows during initial stage using SWE and RANS approaches.” J. Hydraul. Res., 48(5), 603–611.
Ritter, A. (1982). “Die fortpflanzung de wasserwellen.” Zeitschrift Verein Deutscher Ingenieure, 36(33), 947–954 (in German).
Sahebari, A. J., Jin, Y. C., and Shakibaeinia, A. (2011). “Flow oversills by the MPS mesh-free particle method.” J. Hydraul. Res., 49(5), 649–656.
Shakibaeinia, A., and Jin, Y. C. (2010). “A weakly compressible MPS method for modeling of open boundary free-surface flow.” Int. J. Numer. Meth. Fluids., 63(10), 1208–1232.
Souto-Iglesias, A., Macià, F., González, L. M., and Cercos-Pita, J. L. (2013). “On the consistency of MPS.” Comput. Phys. Commun., 184(3), 732–745.
Xie, H., Koshizuka, S., and Oka, Y. (2005). “Simulation of drop deposition process in annular mist flow using three-dimensional particle method.” Nucl. Eng. Des., 235(16), 1687–1697.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 140 • Issue 10 • October 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Aug 13, 2013
Accepted: Apr 23, 2014
Published online: Jun 23, 2014
Published in print: Oct 1, 2014
Discussion open until: Nov 23, 2014
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.