Journal ArticleDOI
Finite element analysis of second order wave radiation by a group of cylinders in the time domain
TLDR
In this paper, a finite element based numerical method is employed to analyze the wave radiation by multiple or a group of cylinders in the time domain, and the nonlinear free surface and body surface boundary conditions are satisfied based on the perturbation method up to the second order.Abstract:
A finite element based numerical method is employed to analyze the wave radiation by multiple or a group of cylinders in the time domain. The nonlinear free surface and body surface boundary conditions are satisfied based on the perturbation method up to the second order. The first- and second-order velocity potential problems at each time step are solved through a Finite Element Method (FEM). The matrix equation of the FEM is solved through iteration and the initial solution is obtained from the result at the previous time step. The three-dimensional (3-D) mesh required is generated based on a two-dimensional (2-D) hybrid mesh on a horizontal plane and its extension in the vertical direction. The hybrid mesh is generated by combining an unstructured grid away from cylinders and two structured grids near the cylinder and the artificial boundary. The fluid velocity on the free surface and the cylinder surface are calculated by using a differential method. Results for various configurations including the cases of two cylinders and four cylinders and a group of eighteen cylinders are obtained to show the joint influences of cylinders on the first- and second-order waves and forces, including the effects of spacing ratios and wave frequency on the second order waves and the mean force, in particular.read more
Citations
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Journal ArticleDOI
Hydrodynamic interactions of water waves with a group of independently oscillating truncated circular cylinders
TL;DR: In this paper, the authors examined the water wave radiation by arrays of truncated circular cylinders and developed an analytical method that includes the effects of evanescent modes in order to analyze such arrays of cylinders.
References
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Journal ArticleDOI
Wave diffraction by a long array of cylinders
TL;DR: In this article, an array of bottom-mounted circular cylinders is analyzed under the assumptions of linear theory, where the cylinders are identical, and equally spaced along the array, and a second trapped wave is established, corresponding to Dirichlet boundary conditions on the channel walls.
Journal ArticleDOI
Second-order water wave diffraction by an array of vertical cylinders
TL;DR: In this paper, the second-order water wave diffraction of an incident monochromatic wave field by an array of bottom-mounted circular cylinders is solved by a semi-analytical approach.
Journal ArticleDOI
Simulation of nonlinear interactions between waves and floating bodies through a finite-element-based numerical tank
Guoxiong Wu,Z. Z. Hu +1 more
TL;DR: In this paper, a wave maker is installed on one end of a tank while a numerical beach based on a combination of damping zone and Sommerfeld condition is adopted on the other side of the tank.
Journal ArticleDOI
Trapped modes about multiple cylinders in a channel
D. V. Evans,Richard Porter +1 more
TL;DR: In this paper, the trapped modes which can occur in a long narrow wave channel containing any number of different-sized bottom-mounted circular cylinders arbitrarily spaced along the centreline of the channel are considered.
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