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Research Papers: CFD and VIV

Numerical Simulation of Water-Entry and Sedimentation of an Elliptic Cylinder Using Smoothed-Particle Hydrodynamics Method

[+] Author and Article Information
Roozbeh Saghatchi

Department of Mechanical Engineering,
Babol University of Technology,
Babol, 45136-74334Iran
e-mail: r.saghatchi@aut.ac.ir

Jafar Ghazanfarian

Department of Mechanical Engineering,
University of Zanjan,
University Boulevard,
Zanjan, 45371-38791Iran
e-mail: j.ghazanfarian@znu.ac.ir

Mofid Gorji-Bandpy

Department of Mechanical Engineering,
Babol University of Technology,
Babol, 45136-74334Iran
e-mail: gorji@nit.ac.ir

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING Manuscript received July 19, 2012; final manuscript received February 7, 2014; published online April 1, 2014. Assoc. Editor: Antonio C. Fernandes.

J. Offshore Mech. Arct. Eng 136(3), 031801 (Apr 01, 2014) (10 pages) Paper No: OMAE-12-1074; doi: 10.1115/1.4026844 History: Received July 19, 2012; Revised February 07, 2014

This paper studies the two-dimensional water-entry and sedimentation of an elliptic cylinder using the subparticle scale (SPS) turbulence model of a Lagrangian particle-based smoothed-particle hydrodynamics (SPH) method. The motion of the body is driven by the hydrodynamic forces and the gravity. The present study shows the ability of the SPH method for the simulation of free-surface-involving and multiphase flow problems. The full Navier–Stokes equation, along with the continuity equation, have been solved as the governing equations of the problem. The accuracy of the numerical code is verified using the case of the water-entry and exit of a circular cylinder. The numerical simulations of the water-entry and sedimentation of the vertical and horizontal elliptic cylinder with the diameter ratio of 0.75 are performed at the Froude numbers of 0, 2, 5, and 8, and the specific gravities of 0.5, 0.75, 1, 1.5, 1.75, 2, and 2.5. The effect of the governing parameters and vortex shedding behind the elliptic cylinder on the trajectory curves, velocity components within the flow field, rotation angle, the velocity of ellipse, and the deformation of free-surface have been investigated in detail.

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References

Figures

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Fig. 1

Comparison of the free-surface deformation during water-entry of a half-buoyant cylinder. Right column, experimental result from Ref. [36]; left column, CIP numerical data obtained from Ref. [37]; middle column, results of the present SPH method; first row at t = 0.33 s and second row at t = 0.42 s.

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Fig. 2

Comparison of the free-surface deformation during water-entry of a neutrally buoyant cylinder. Right column, experimental results [36]; left column, CIP numerical data obtained from Ref. [37]; middle column, results of the present SPH method; first row at at t = 0.5 s and second row at t = 0.75 s.

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Fig. 3

Comparison of the temporal variation of the depth of penetration of the cylinder falling in the still water obtained from the present study and other numerical and experimental data. Experimental data extracted from Ref. [36]; CIP numerical data obtained from Ref. [37].

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Fig. 4

Definition of the coordinate system and initial velocity of the cylinder

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Fig. 5

Vortex shedding pattern behind the cylinder

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Fig. 6

(a) Trajectory, (b) deflection angle versus nondimensional time, and (c) local Froude number versus time for the horizontal cylinder for various specific gravities

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Fig. 7

A sequence of the sedimentation of the vertical elliptical cylinder for SG = 1.5

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Fig. 8

(a) Trajectory, (b) deflection angle versus nondimensional time, and (c) local Froude number versus time for the vertical cylinder and various specific gravities

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Fig. 9

Comparison of the nondimensional depth of penetration with nondimensional time for two cases of vertical and horizontal elliptical cylinders and different specific gravities

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Fig. 10

A sequence of the splash and water surface deformation during the water-entry of the horizontal elliptical cylinder for Fr = 5 and SG = 0.5

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Fig. 11

Time variation of the (a) nondimensional depth, and (b) vertical nondimensional velocity of the horizontal elliptical cylinder for various specific gravities during the water-entry case

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Fig. 12

A sequence of the splash and water surface deformation during the water-entry of the vertical elliptical cylinder for Fr = 5 and SG = 0.5

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Fig. 13

Time variation of the (a) nondimensional depth, and (b) vertical nondimensional velocity of the vertical elliptical cylinder for various specific gravities during the water-entry problem

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