Abstract
Water entry of a solid through the free surface is a persisting field of research in ship hydrodynamics applications. Indeed, the knowledge of pressure forces acting on structures is necessary to ensure the verification of safety criteria in the design and operation. However, in water entry problems, jets can be generated, thus an effective numerical model is needed to capture this complicated breaking water surface. In this paper, the level set method is adopted, which has been shown to be capable of capturing interface evolution when the topological change of shape is extremely large, or merging, breaking and pinching occur. Moreover, the incorporation of an immersed boundary method with this free surface capture scheme implemented in a Navier-Stokes solver allows the interaction between fluid flow with free surface and moving bodies of almost arbitrary shape to be modeled. The developed Level-Set Immersed Boundary Method is applied to simulate the water entry of a rectangular body with different velocities into the still water. The complicated surface profile, velocity field and pressure are obtained. The simulation is also carried out for the same body exiting the water, and some preliminary results are presented.
Highlights
Offshore installation operations are applicable to all structures situated offshore, as most of them are built onshore, transported and installed at the operating site
We investigate the motion of two incompressible fluids and track the movement of the free surface implicitly by the Level Set Method (LSM)
A numerical model based on the immersed boundary method is developed in this paper to simulate a body moving in the fluid domain
Summary
Offshore installation operations are applicable to all structures situated offshore, as most of them are built onshore, transported and installed at the operating site. The present immersed boundary method is based on the direct forcing technique proposed by Fadlun et al.[4] It has the advantage of simplifying the grid generation and its inherent simplicity to study moving body on fixed Cartesian grids. The key concept is that the velocity of the fluid must equal to the velocity of the moving body at its surface This implies that introduction of a body-force to the momentum equations at certain points in the flow can simulate the effect of the investigated body in the flow. This idea enables the immersed boundary method to mimic the complex body through a suitably introduced artificial force adding to the momentum. By using the present numerical model, some preliminary results are obtained for the water entry of a rectangular box with different specified velocities, as well as its exit from the still water
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