Three-dimensional steep wave impact on a vertical plate with an open rectangular section

The present study treats the three-dimensional hydrodynamic slamming problem on a vertical plate subjected to the impact of a steep wave moving towards the plate with a constant velocity. The problem is complicated significantly by assuming that there is a rectangular opening on the plate which allows a discharge of the liquid. The analysis is conducted analytically assuming linear potential theory. The examined configuration determines two boundary value problems with mixed conditions which fully are taken into account. The mathematical process assimilates the plate with a degenerate elliptical cylinder allowing the employment of elliptical harmonics that ensure the satisfaction of the free-surface boundary condition of the front face of the steep wave, away from the plate. This assumption leads to an additional boundary value problem with mixed conditions in the vertical direction. The associated problem involves triple trigonometrical series and it is solved through a transformation into integral equations. To tackle the boundary value problem in the vertical direction a perturbation technique is employed. Extensive numerical calculations are presented as regards the variation of the velocity potential on the plate at the instant of the impact which reveals the influence of the opening. The theory is extended to the computation of the total impulse exerted on the plate using pressure-impulse theory

AN IMPROVED VOLUME-OF-FLUID METHOD FOR WAVE IMPACT

computational fluid dynamics. Abstract. This paper describes a modified volume-of-fluid method for the simulation of wave impact problems at moving bodies. The method is based on the Navier-Stokes equations that describe the motion of incompressible viscous fluid flow. The equations are discretised on a fixed Cartesian grid using a finite volume method. The geometry of the body is piecewise linear, resulting in cut cells. The displacement of the free surface is done using the volume-of-fluid method combined with a local height function to prevent flotsam and jetsam. In this paper some validation results of the method are presented. First, the method has been tested on the simulation of steep waves. Second, a breaking dam flow has been simulated, where the results are compared with available experimental measurements. Finally, results of a simulation of green water on the deck of a moving ship are shown.

NUMERICAL SIMULATION OF WAVE LOADING ON A SPAR PLATFORM SUMMARY

This paper describes a study of simulation of wave loading on a SPAR platform. The method used for the simulations is based on the Navier-Stokes equations, discretised using a finite volume method. The free-surface displacement is described by the VOF-method combined with a local height function. The regular head waves are generated using 5th order Stokes wave theory. To prevent reflections from the walls into the computational domain, a dissipation zone has been used where damping occurs by adding a pressure at the free surface. The results of the validation of regular wave loading on a SPAR platform are found to be very promising.

ABSTRACT An Improved Volume-of-Fluid Method for Wave Impact Problems

In this paper, a calculation method for wave impact problems is presented. This method is based on the Navier-Stokes equations and uses an improved volume-of-fluid (VOF) method for the displacement of the free surface. Results are shown for a dambreak simulation for which experimental results are available for comparison. Also drop tests have been simulated with wedges and circular cylinders. The results are very promising for the further development of the method

An improved volume-of-fluid method for wave impact problems

In this paper, a calculation method for wave impact problems is presented. This method is based on the Navier-Stokes equations and uses an improved volume-of-fluid (VOF) method for the displacement of the free surface. Results are shown for a dambreak simulation for which experimental results are available for comparison. Also drop tests have been simulated with wedges and circular cylinders. The results are very promising for the further development of the method