Article ID Journal Published Year Pages File Type
1725930 Ocean Engineering 2013 12 Pages PDF
Abstract

•We generate waves internally on an arced band.•The present method gives smaller errors than Lee and Yoon's method using a source line.•The layout with 2 orthogonal bands connected to a quadrant band shows best solution.•Generation of cnoidal waves gives larger errors than linear waves.•To reduce these errors, it is needed to use a fine grid size and nonlinear wave number.

We develop a technique of generating waves internally on an arced band in a rectangular grid system using a Gaussian-shaped source function. Tests are made for four different types of wave generation layouts. Numerical experiments are conducted under the following conditions: the propagation of linear and cnoidal waves on a flat bottom, and the refraction and shoaling of cnoidal waves on a planar slope. Numerical experiments are conducted using the linear extended mild-slope equations of Suh et al. (1997) [Coastal Eng. 32, 91–117], and nonlinear extended Boussinesq equations of Nwogu (1993) [J. Waterw. Port Coastal Ocean Eng. 119, 618–638]. The third layout type consisting of two orthogonal bands connected to a quadrant band show the best solutions especially for a fine grid size. Use of the present method on a source band gives smaller errors than Lee and Yoon's (2007) [Coastal Eng. 54, 357–368], method on a source line for a coarse grid size but the two methods yield similar results for a fine grid size. Generation of cnoidal waves gives larger errors than linear waves. To reduce these errors, it is necessary to use a fine grid size and nonlinear wave numbers for incident waves.

Related Topics
Physical Sciences and Engineering Engineering Ocean Engineering
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