Fully Nonhydrostatic Modeling of Surface Waves

Yuan, Hengliang

doi:10.1061/(asce)0733-9399(2006)132:4(447)

Cited by 33 publications

(45 citation statements)

References 42 publications

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“…P * n+1 The improvement caused by applying linear approximation is also confirmed by Yuan and Wu [16].…”

Section: Solution Of 3d Equations Using Equationsmentioning

confidence: 52%

“…This is a classical example in which a non-breaking monochromatic wave transforms over 3D uneven bottom, and has been studied with various depth-integrated models [16]. experimental set-up, including a shoal with an elliptic boundary described as…”

Section: Wave Propagation Over a Submerged Elliptic Shoalmentioning

confidence: 99%

“…Their results show that this procedure allows very small number of layers (in the order of 1-3) for the simulation of relatively short waves. Recognizing the popularity of staggered grid system, following Stelling and Zijlema [15], Yuan and Wu [9,16] switched from sigma to Cartesian coordinate system and proposed another integral method, different from the Keller-box scheme, to obtain non-hydrostatic pressure condition at the free-surface cell. Using a small number of vertical layers, they also showed the model can accurately simulate very steep waves (steepness up to 0.31).…”

Section: Introductionmentioning

confidence: 99%

“…Using a small number of vertical layers, they also showed the model can accurately simulate very steep waves (steepness up to 0.31). As well they found that the number of vertical layers depends on a dimensionless number-the product of wave number and water depth [16]. Subsequently Choi and Wu [17] changed the numerical algorithm to projection method in which, the size of resulting matrix, is a quarter smaller than pervious Yuan and Wu [9,16] work.…”

Section: Introductionmentioning

confidence: 99%

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A three‐dimensional non‐hydrostatic vertical boundary fitted model for free‐surface flows

Badiei

Namin

Ahmadi

2007

Numerical Methods in Fluids

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SUMMARYA non-hydrostatic finite volume model is presented to simulate three-dimensional (3D) free-surface flows on a vertical boundary fitted grid system. The algorithm, which is an extension to the previous two dimensional vertical (2DV) model proposed by Ahmadi et al. (Int. J. Numer. Meth. Fluids 2007; 54(9):1055-1074), solves the complete 3D Navier-Stokes equations in two major steps based on projection method. First, by excluding the pressure terms in momentum equations, a set of advection-diffusion equations are obtained. In the second step, the continuity and the momentum equations with the remaining pressure terms are solved which yields a block tri-diagonal system of equations with pressure as the unknown. In this step, the 3D system is decomposed into a series of 2DV plane sub-systems which are solved individually by a direct matrix solver. Iteration is required to ensure convergence of global 3D system. To minimize the number of vertical layers and subsequently the computational cost, a new top-layer pressure treatment is proposed which enables the model to simulate a range of surface waves using only 2-5 vertical layers.

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“…P * n+1 The improvement caused by applying linear approximation is also confirmed by Yuan and Wu [16].…”

Section: Solution Of 3d Equations Using Equationsmentioning

confidence: 52%

Section: Wave Propagation Over a Submerged Elliptic Shoalmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A three‐dimensional non‐hydrostatic vertical boundary fitted model for free‐surface flows

Badiei

Namin

Ahmadi

2007

Numerical Methods in Fluids

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“…At the inflow boundary, the horizontal velocity component is specified according to analytical solutions or laboratory conditions. In addition, a ramp-function is used to avoid unwanted waves generated by impulse motions [18,31]. In front of the outflow boundary, the sponge layer concept is used to damp outgoing waves [19].…”

Section: Governing Equations and Boundary Conditionsmentioning

confidence: 99%

A σ‐coordinate non‐hydrostatic model with embedded Boussinesq‐type‐like equations for modeling deep‐water waves

Young

2010

Numerical Methods in Fluids

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SUMMARYA -coordinate non-hydrostatic model, combined with the embedded Boussinesq-type-like equations, a reference velocity, and an adapted top-layer control, is developed to study the evolution of deep-water waves. The advantage of using the Boussinesq-type-like equations with the reference velocity is to provide an analytical-based non-hydrostatic pressure distribution at the top-layer and to optimize wave dispersion property. The -based non-hydrostatic model naturally tackles the so-called overshooting issue in the case of non-linear steep waves. Efficiency and accuracy of this non-hydrostatic model in terms of wave dispersion and nonlinearity are critically examined. Overall results show that the newly developed model using a few layers is capable of resolving the evolution of non-linear deep-water wave groups.

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Wave climatology in the Apostle Islands, Lake Superior

Anderson

Schwab

2015

J. Geophys. Res. Oceans

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The wave climate of the Apostle Islands in Lake Superior for 35 year was hindcast and examined using a third-generation spectral wave model. Wave measurements within the Apostle Islands and offshore NOAA buoys were used to validate the model. Statistics of the significant wave height, peak wave period, and mean wave direction were computed to reveal the spatial variability of wave properties within the archipelago for average and extreme events. Extreme value analysis was performed to estimate the significant wave height at the 1, 10, and 100 year return periods. Significant wave heights in the interior areas of the islands vary spatially but are approximately half those immediately offshore of the islands. Due to reduced winter ice cover and a clockwise shift in wind direction over the hindcast period, long-term trend analysis indicates an increasing trend of significant wave heights statistics by as much as 2% per year, which is approximately an order of magnitude greater than similar analysis performed in the global ocean for areas unaffected by ice. Two scientific questions related to wave climate are addressed. First, the wave climate change due to the relative role of changing wind fields or ice covers over the past 35 years was revealed. Second, potential bluff erosion affected by the change of wave climate and the trend of lower water levels in the Apostle Islands, Lake Superior was examined.

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Fully Nonhydrostatic Modeling of Surface Waves

Cited by 33 publications

References 42 publications

A three‐dimensional non‐hydrostatic vertical boundary fitted model for free‐surface flows

A three‐dimensional non‐hydrostatic vertical boundary fitted model for free‐surface flows

A σ‐coordinate non‐hydrostatic model with embedded Boussinesq‐type‐like equations for modeling deep‐water waves

Wave climatology in the Apostle Islands, Lake Superior

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