Abstract
In hydrodynamic and hydraulic sciences, free surface flows are important but they are difficult to simulate. Smoothed Particle Hydrodynamics (SPH) is a meshfree, Lagrangian particle method for modeling a free surface flow phenomenon such as dam break. One of the problems in SPH method is the time consuming calculations. It needs computers with strong CPU and memory. In this paper, the influence of the time scale in a free surface flow simulation by SPH method is investigated. At first, dam break in different geometrical scales are simulated by SPH method. One of them is considered as hypothetical prototype and the others are reduced scale models. Then the influence of time scale is evaluated in hypothetical prototype and reduced scale models. The results show that the occurrence time of dam break in reduced scale model is less than other models and it’s affected to decrease calculation time in SPH. Therefore, the computer calculation time is decreased. The relations between two scales in dam break simulations indicate that the Froude law is valid for this case. In models with scale 3 and 6 with equal number of particles, the times of occurrence and computation were decreased in the order of 42% and 59%, respectively. Hence, the computer run time can be decreased when this new scheme is used. For validating the SPH model, the numerical results are compared with other numerical methods and experimental data.
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Antuono, M., Colagrossi, A., Marrone, S., and Moltenic, D. (2010). “Free-surface flows solved by means of SPH schemes with numerical diffusive terms.” Computer Physics Communications, Vol. 181, No. 3, pp. 532–549.
Crespo, A. J. C. (2008). Application of the smoothed particle hydrodynamics model SPHysics to free surface hydrodynamics, PhD Thesis, University De Vigu.
Dalrymple, R. A. and Knio, O. (2001). “SPH modelling of water waves.” Proc. Coastal Dynamics, Lund, Sweden, ASCE, pp. 779–787.
Etemma, R. (2000). “Hydraulic modeling: Concepts and practice.” The American Society of Civil Engineering, ASCE, No. 97.
Gesteira, M. G., Rogers, B. D., Dalrymple, R. A., and Crespo, A. J. C. (2010). “State-of-the-art of classical SPH for free-surface flows.” Journal of Hydraulic Research, Vol. 48, Extra Issue, pp. 6–27.
Gesteira, M. G., Rogers, B. D., Dalrymple, R. A., Crespo, A. J. C., Narayanaswamy, N. and Dominguez, J. M (2012). “SPHysics — development of a free-surface fluid solver — Part 1: Theory and formulations.” Computers & Geosciences, Vol. 48, pp. 289–299, DOI: 10.1016/j.cageo.2012.02.029.
Gingold, R. A. and Monaghan, J. J. (1977). “Smoothed particle hydrodynamics: Theory and application to non-spherical stars.” Monthly Notices of the Royal Astronomical Society, Vol. 181, pp. 375–389.
Husain, S. M., Muhammed, J. R., Karunarathna, H. U., and Reeve, D. E. (2014). “Investigation of pressure variations over stepped spillways using smooth particle hydrodynamics.” Advances in Water Resources, Vol. 66, pp. 52–69.
Kim, N. H. and Ko, H. S. (2008). “Numerical simulation on solitary wave propagation and run-up by SPH method.” KSCE Journal of Civil Engineering, KSCE, Vol. 12, No. 4, pp. 221–226.
Liu, G. R. and Liu, L. B. (2003). Smoothed particle hydrodynamics, A meshfree particle method, World Scientific Publishing Co., Pte., Ltd.
Liu, X., Lin, P., and Shao, S. (2014). “An ISPH simulation of coupled structure interaction with free surface flows.” Journal of Fluids and Structures, Vol. 48, pp. 46–46.
Martin, J. C. and Moyce, W. J. (1952). “An experimental study of the collapse of liquid columns on a rigid horizontal plane.” Philos. Trans. R. Soc. London, Ser. A., Vol. 244, No. 882, pp. 312–324.
Monaghan, J. J. (1992). “Simulating free surface flows with SPH.” J. Comp. Physics, Vol. 110, No. 2, pp. 399–406.
Monaghan, J. J. (2000). “SPH without the tensile instability.” J. Comp. Physics, Vol. 159, pp. 290–311.
Pan, C. H., Xu, X. Z., and Lin, B. Y. (1993). “Simulating free surface flows by MAC method.” Estuar Coastal Eng., Vol. 1, No. 2, pp. 51–8.
Shakibaeinia, A. and Jin, Y. C. (2011). “A mesh-free particle methods for simulation of mobile-bed dam break.” Advances in Water Resources, Vol. 34, No. 6, pp. 794–807.
Shao, S. and Lo, E. Y. M. (2003). “Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface.” Advances in Water Resources, Vol. 26, No. 7, pp. 787–800.
Valizadeh, A. and Monaghan, J. J. (2012). “Smoothed particle hydrodynamics simulations of turbulence in fixed and rotating boxes in two dimensions with no-slip boundaries.” Physics of Fluids, Vol. 24, Issue 3.
Violeau, D. and Issa, R. (2006). “Numerical modeling of complex turbulent free-surface flows with the SPH method: An overview.” International Journal of Numerical Methods in Fluids, Vol. 53, No. 2, pp. 277–304.
Zou, S. (2007). Coastal sediment transport simulation by Smoothed Particle Hydrodynamics, PhD Thesis, Johns Hopkins University.
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Toosi, S.L.R., Ayyoubzadeh, S.A. & Valizadeh, A. The influence of time scale in free surface flow simulation using Smoothed Particle Hydrodynamics (SPH). KSCE J Civ Eng 19, 765–770 (2015). https://doi.org/10.1007/s12205-012-0477-0
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DOI: https://doi.org/10.1007/s12205-012-0477-0