Abstract
Abstract The time domain boundary element method was utilized to simulate the propagation of the irregular waves in a numerical wave tank. The problem was solved in a time-marching scheme, upon the irregular waves being fed through the inflow boundary, in which the theoretical solution was obtained from the wave energy spectrum. The open boundary condition was modeled by the multi transmitting formula (MTF), in which the phase velocity was calculated according to the Sommerfeld’s condition. The velocity potential and wave elevation were directly obtained by integrating the free surface condition twice, with respect to time. The accuracy of the developed numerical scheme was verified by simulating the propagation of irregular waves. The numerical results show good agreements with the analytical solutions, which prove that the proposed scheme is a promising way to the simulation of wave-body interactions.
Highlights
The Rankine panel method is a main way to simulate the interactions between floating structures and waves
In addition to the above, the multi-transmitting formula method is widely used by researchers [14, 15], but the phase velocity has to be set before the simulation, which is a limitation to the simulation of irregular waves
A time domain numerical program was implemented to the simulation of irregular wave propagations, and the boundary value problem was solved in the time marching procedure
Summary
The Rankine panel method is a main way to simulate the interactions between floating structures and waves. The aim of this paper are, (1) to develop a numerical scheme to simulate the propagation of irregular waves in a numerical wave tank, (2) to find an efficient nonreflection open boundary condition for the Rankine panel method. The piston-like active wave absorber is used in common [2, 3], but it is hard to be applied in 3D problems. Another frequently used method is the artificial beach [9], but some panels will be wasted. In addition to the above, the multi-transmitting formula method is widely used by researchers [14, 15], but the phase velocity has to be set before the simulation, which is a limitation to the simulation of irregular waves
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