Author:
XUE MING,XÜ HONGBO,LIU YUMING,YUE DICK K. P.
Abstract
We develop an efficient high-order boundary-element method with the mixed-Eulerian–Lagrangian
approach for the simulation of fully nonlinear three-dimensional wave–wave
and wave–body interactions. For illustration, we apply this method to the study
of two three-dimensional steep wave problems. (The application to wave–body interactions
is addressed in an accompanying paper: Liu, Xue & Yue 2001.) In the
first problem, we investigate the dynamics of three-dimensional overturning breaking
waves. We obtain detailed kinematics and full quantification of three-dimensional
effects upon wave plunging. Systematic simulations show that, compared to two-dimensional
waves, three-dimensional waves generally break at higher surface elevations
and greater maximum longitudinal accelerations, but with smaller tip velocities
and less arched front faces. For the second problem, we study the generation mechanism
of steep crescent waves. We show that the development of such waves is a result
of three-dimensional (class II) Stokes wave instability. Starting with two-dimensional
Stokes waves with small three-dimensional perturbations, we obtain direct simulations
of the evolution of both L2 and L3 crescent waves.
Our results compare quantitatively well with experimental measurements for all the distinct features and geometric
properties of such waves.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
88 articles.
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