This paper presents a smoothed particle hydrodynamics (SPH) modeling technique based on the cylindrical coordinates for axisymmetrical hydrodynamic applications, thus to avoid a full three-dimensional (3D) numerical scheme as required in the Cartesian coordinates. In this model, the governing equations are solved in an axisymmetric form and the SPH approximations are modified into a two-dimensional cylindrical space. The proposed SPH model is first validated by a dam-break flow induced by the collapse of a cylindrical column of water with different water height to semi-base ratios. Then, the model is used to two benchmark water entry problems, i.e., cylindrical disk and circular sphere entry. In both cases, the model results are favorably compared with the experimental data. The convergence of model is demonstrated by comparing with the different particle resolutions. Besides, the accuracy and efficiency of the present cylindrical SPH are also compared with a fully 3D SPH computation. Extensive discussions are made on the water surface, velocity, and pressure fields to demonstrate the robust modeling results of the cylindrical SPH.
Cylindrical Smoothed Particle Hydrodynamics Simulations of Water Entry
University of Sheffield,
Sheffield, S1 3JD, UK;
Harbin Engineering University,
Harbin 150001, China
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received February 10, 2018; final manuscript received December 17, 2018; published online January 30, 2019. Assoc. Editor: Oleg Schilling.
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Gong, K., Shao, S., Liu, H., Lin, P., and Gui, Q. (January 30, 2019). "Cylindrical Smoothed Particle Hydrodynamics Simulations of Water Entry." ASME. J. Fluids Eng. July 2019; 141(7): 071303. https://doi.org/10.1115/1.4042369
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