Fully non-linear free-surface simulations by a 3D viscous numerical wave tank

Park, Jong‐Chun; Kim, Moo‐Hyun; Miyata, Hideaki

doi:10.1002/(sici)1097-0363(19990330)29:6<685::aid-fld807>3.0.co;2-d

Cited by 119 publications

(42 citation statements)

References 12 publications

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“…At the bottom boundary, no-slip wall boundary condition is imposed [Wang et al, 2009;Hieu and Tanimoto, 2006]. At the top boundary, no-normal gradient wall boundary condition is applied [Park et al, 1999].…”

Section: Boundary Conditionsmentioning

confidence: 99%

Multiphase Modeling of Wave Propagation Over Submerged Obstacles Using Weno and Level Set Methods

Kasem

Sasaki

2010

Coastal Engineering Journal

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A new numerical multiphase model is presented to study wave propagation over arbitrary shaped submerged obstacles. The high order space accurate weighted essentially non-oscillatory (WENO) method is adopted along with relatively coarse Cartesian uniform grids. Viscosity effects are included and the free surface is tracked using the level set method. The model is validated via application to solitary and progressive wave motion over rectangular, trapezoidal and semicircular obstacles. The complex flow field features induced near a large sized obstacle, including separation vortices and large free surface deformations, are accurately reproduced. Compared to other relatively complicated models, the present model is efficient and produces enhanced results.

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Section: Boundary Conditionsmentioning

confidence: 99%

Multiphase Modeling of Wave Propagation Over Submerged Obstacles Using Weno and Level Set Methods

Kasem

Sasaki

2010

Coastal Engineering Journal

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“…At in ow, the velocity components are speciÿed from either analytical solutions or laboratory conditions. At out ow, a combination of a sponge layer technique [14] and a Sommerfeld-type radiation boundary condition is applied to minimize wave re ection. For the sponge layer, the artiÿcial damping terms are added to the right-hand side of horizontal momentum equations (2) and (3), respectively, i.e.…”

Section: Mathematical Fomulationmentioning

confidence: 99%

“…Several methods have been successfully incorporated in the NSE, e.g. the marker and cell (MAC) method [14], the volume of uid (VOF) method [15], and the arbitrary Lagrangian-Eulerian (ALE) method [16]. Generally speaking, these methods are capable of dealing with complicated free surfaces (e.g.…”

Section: Introductionmentioning

confidence: 99%

An implicit three‐dimensional fully non‐hydrostatic model for free‐surface flows

Yuan

2004

Numerical Methods in Fluids

104

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SUMMARYAn implicit method is developed for solving the complete three-dimensional (3D) Navier-Stokes equations. The algorithm is based upon a staggered ÿnite di erence Crank-Nicholson scheme on a Cartesian grid. A new top-layer pressure treatment and a partial cell bottom treatment are introduced so that the 3D model is fully non-hydrostatic and is free of any hydrostatic assumption. A domain decomposition method is used to segregate the resulting 3D matrix system into a series of two-dimensional vertical plane problems, for each of which a block tri-diagonal system can be directly solved for the unknown horizontal velocity. Numerical tests including linear standing waves, nonlinear sloshing motions, and progressive wave interactions with uneven bottoms are performed. It is found that the model is capable to simulate accurately a range of free-surface ow problems using a very small number of vertical layers (e.g. two-four layers). The developed model is second-order accuracy in time and space and is unconditionally stable; and it can be e ectively used to model 3D surface wave motions.

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“…where T is the wave period. At the outflow boundary, the combination of the Sommerfeld radiation boundary condition and a sponge layer technique [31,35] is employed to minimize wave reflection into the computational domain.…”

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

“…In terms of modeling the moving free-surface, several methods have been successfully incorporated into the NHMs. In general, there are (i) marker and cell method [34,35], (ii) volume of fluid method [36,37], (iii) arbitrary Lagrangian-Eulerian method [38,39], (iv) level-set method [40,41], and (v) surface height method [42]. All these methods except for the last one is capable of tracking/capturing complicated free surfaces such as overturning/breaking waves but requires a relatively high computational expense.…”

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confidence: 99%

An efficient and accurate non‐hydrostatic model with embedded Boussinesq‐type like equations for surface wave modeling

Young

2008

Numerical Methods in Fluids

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SUMMARYA novel approach that embeds the Boussinesq-type like equations into an implicit non-hydrostatic model (NHM) is developed. Instead of using an integration approach, Boussinesq-type like equations with a reference velocity under a virtual grid system are introduced to analytically obtain an analytical form of pressure distribution at the top layer. To determine the size of vertical layers in the model, a top-layer control technique is proposed and the reference location is employed to optimize linear wave dispersion property. The efficiency and accuracy of this NHM with Boussinesq-type like equations (NHM-BTE) are critically examined through four free-surface wave examples. Overall model results show that NHM-BTE using only two vertical layers is capable of accurately simulating highly dispersive wave motion and wave transformation over irregular bathymetry.

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Fully non-linear free-surface simulations by a 3D viscous numerical wave tank

Cited by 119 publications

References 12 publications

Multiphase Modeling of Wave Propagation Over Submerged Obstacles Using Weno and Level Set Methods

Multiphase Modeling of Wave Propagation Over Submerged Obstacles Using Weno and Level Set Methods

An implicit three‐dimensional fully non‐hydrostatic model for free‐surface flows

An efficient and accurate non‐hydrostatic model with embedded Boussinesq‐type like equations for surface wave modeling

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