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

Abstract

This paper studies the twodimensional waterentry and sedimentation of an elliptic cylinder using the subparticle scale (SPS) turbulence model of a Lagrangian particlebased smoothedparticle 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 freesurfaceinvolving 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 waterentry and exit of a circular cylinder. The numerical simulations of the waterentry 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 freesurface have been investigated in detail.