Numerical Study of the Effect of Geometric Shape, Holes Distribution, and Drop Height of Projectile on Deepwater Velocity, Using Coupled Eulerian-Lagrangian Method

In this paper, water entry problem of three-dimensional projectiles with various geometrical shapes and different drop heights and holes distribution was numerically simulated by coupled Eulerian-Lagrangian (CEL) method and the effect of mentioned parameters on deepwater velocity and pinch-off time and depth was investigated by the commercial software Abaqus 6.14-2. The numerical results were verified by comparison and proper adaptation with available theoretical and experimental results, such as the movement trajectory of a spherical projectile in water depth, shape of formed air cavity, and pinch-off time and depth, which revealed the accuracy and capability of the numerical algorithm used. The results revealed that pinch-off depth is influenced by projectile geometrical shapes and significantly increases along with increased drop height from free water surface, while the pinch-off time is a very weak function of mentioned parameters. Also, the drag force of water has the highest and lowest effect on flat and pointy-nose projectiles, respectively. Hence, the cubical projectile with the highest velocity depreciation impact on the model bed with a velocity of 1.57m/sec and pinch-off depth occurs at a depth of 63cm, while the conical projectile with the lowest velocity depreciation has an impact velocity of 3.88m/sec and pinch-off depth occurs at a depth of 98cm.