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http://dx.doi.org/10.9765/KSCOE.2011.23.5.335

Non-hydrostatic modeling of nonlinear waves in a circular channel  

Choi, Doo-Yong (K-water Research Institute, Korea Water Resources Corporation)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.23, no.5, 2011 , pp. 335-344 More about this Journal
Abstract
A curvilinear non-hydrostatic free surface model is developed to investigate nonlinear wave interactions in a circular channel. The proposed model solves the unsteady Navier-Stokes equations in a three-dimensional domain with a pressure correction method, which is one of fractional step methods. A hybrid staggered-grid layout in the vertical direction is implemented, which renders relatively simple resulting pressure equation as well as free surface closure. Numerical accuracy with respect to wave nonlinearity is tested against the fifth-order Stokes solution in a two-dimensional numerical wave tank. Numerical applications center on the evolution of nonlinear waves including diffraction and reflection affected by the curvature of side wall in a circular channel comparing with linear waves. Except for a highly nonlinear bichrmatic wave, the model's results are in good agreement with superimposed analytical solution that neglects nonlinear effects. Through the numerical simulation of the highly nonlinear bichramatic wave, the model shows its capability to investigate the evolution of nonlinear wave groups in a circular channel.
Keywords
non-hydrostatic model; curvilinear coordinate; nonlinear wave; wave diffraction; wave reflection;
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