Journal ArticleDOI
Fully non‐linear free‐surface simulations by a 3D viscous numerical wave tank
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In this article, a finite difference scheme using a modified marker-cell (MAC) method is applied to investigate the characteristics of non-linear wave motions and their interactions with a stationary three-dimensional body inside a numerical wave tank (NWT).Abstract:
A finite difference scheme using a modified marker-and-cell (MAC) method is applied to investigate the characteristics of non-linear wave motions and their interactions with a stationary three-dimensional body inside a numerical wave tank (NWT). The Navier-Stokes (NS) equation is solved for two fluid layers, and the boundary values are updated at each time step by a finite difference time marching scheme in the frame of a rectangular co-ordinate system. The viscous stresses and surface tension are neglected in the dynamic free-surface condition, and the fully non-linear kinematic free-surface condition is satisfied by the density function method developed for two fluid layers. The incident waves are generated from the inflow boundary by prescribing a velocity profile resembling flexible flap wavemaker motions, and the outgoing waves are numerically dissipated inside an artificial damping zone located at the end of the tank. The present NS-MAC NWT simulations for a vertical truncated circular cylinder inside a rectangular wave tank are compared with the experimental results of Mercier and Niedzwecki, an independently developed potential-based fully non-linear NWT, and the second-order diffraction computationread more
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Numerical simulation of linear water waves and wave–structure interaction
William Finnegan,Jamie Goggins +1 more
TL;DR: In this paper, the numerical simulation of both linear deep water waves and linear waves for the finite depth case are explored using computational fluid dynamics (CFD), to aid in the design of wave energy converters.
Journal ArticleDOI
Modeling sediment transport in the swash zone: A review
TL;DR: A critical review of conceptual and mathematical models developed in recent decades on sediment transport in the swash zone is presented in this article, which covers mechanisms of sediment transport, important forcing factors, governing equations of wave-induced flow, groundwater interactions, empirical and numerical relations of cross-shore and longshore sediment transport.
Journal ArticleDOI
An implicit three‐dimensional fully non‐hydrostatic model for free‐surface flows
Hengliang Yuan,Chin H. Wu +1 more
TL;DR: In this paper, an implicit method is developed for solving the complete 3D Navier-Stokes equations, based upon a staggered finite difference Crank-Nicholson scheme on a Cartesian grid.
Journal ArticleDOI
Numerical simulation of fluid-structure interaction using a combined volume of fluid and immersed boundary method
Linwei Shen,Eng Soon Chan +1 more
TL;DR: In this article, a combined immersed boundary and volume of fluid (VOF) methodology is developed to simulate the interactions of free-surface waves and submerged solid bodies, which is used to account for the no-slip boundary condition at solid interfaces and the VOF method, utilizing a piecewise linear interface calculation, is employed to track free surfaces.
An implicit three-dimensional fully non-hydrostatic model for free-surfaceows
Hengliang Yuan,Chin H. Wu +1 more
TL;DR: In this article, an implicit method is developed for solving the complete 3D Navier-Stokes equations, based upon a staggered-time dierence Crank-Nicholson scheme on a Cartesian grid.
References
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Journal ArticleDOI
The Deformation of Steep Surface Waves on Water. I. A Numerical Method of Computation
TL;DR: In this paper, the authors present a method for following the time-history of space-periodic irrotational surface waves, where the only independent variables are the coordinates and velocity potential of marked particles at the free surface at each time step an integral equation is solved for the new normal component of velocity.
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A theory of the origin of microseisms
TL;DR: In this paper, it was shown that in an infinite wave train there is in general a second-order pressure variation at infinite depth which is applied equally over the whole fluid and is associated with no particle motion.
Journal ArticleDOI
A computer study of finite-amplitude water waves
TL;DR: In this article, the nonlinear properties of finite-amplitude water waves are modelled by a numerical method based on the Marker and Cell technique, which is shown to be a valid tool for analyzing incompressible flows with a free surface under transient conditions.
Journal ArticleDOI
The complete second-order diffraction solution for an axisymmetric body Part 1. Monochromatic incident waves
Moo-Hyun Kim,Dick K. P. Yue +1 more
TL;DR: In this article, the second-order double-frequency diffraction potential of a vertically axisymmetric body is obtained explicitly by a sequence of one-dimensional integral equations along the generator of the body involving free-surface ring sources of general order.
Journal ArticleDOI
Finite element analysis of two-dimensional non-linear transient water waves
Guoxiong Wu,R. Eatock Taylor +1 more
TL;DR: In this article, two approaches are used to analyze the two-dimensional nonlinear time domain free surface flow problem by the finite element method, one is based on the velocity potential which is approximated by means of shape functions, and the other approach is to write both potential and velocity in terms of the shape functions at the same time.