Introduction to Nearshore Hydrodynamics

Svendsen, Ib A.

doi:10.1142/5740

Cited by 141 publications

(212 citation statements)

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“…The turbulent stresses τ ij are calculated using the k-ε turbulence model in the 'standard' formulation (Launder and Spalding, 1974), while the free surface movements in the vertical direction are calculated according to the kinematic boundary condition (Svendsen, 2006;van Rijn Leo, 2011):…”

Section: The 3d Hydrodynamic Model and The Numerical Simulationsmentioning

confidence: 99%

Three-dimensional numerical simulations on wind- and tide-induced currents: The case of Augusta Harbour (Italy)

Marchis

Freni

Napoli

2014

Computers & Geosciences

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a b s t r a c tThe hydrodynamic circulation in the coastal area of the Augusta Bay (Italy), located in the eastern part of Sicily, is analysed. Due to the heavy contamination generated by the several chemical and petrochemical industries active in the zone, the harbour was declared a Contaminated Site of National Interest. To mitigate the risks connected with the industrial activities located near the harbour, it is important to analyse the hydrodynamic circulation in the coastal area. To perform such analysis, a parallel 3D numerical model is used to solve the Reynolds-averaged momentum and mass balance, employing the k-ε turbulence model for the Reynolds stresses. The numerical model is parallelized using the programing technology -Message Passing Interface (MPI) and applying the domain decomposition procedure.The Augusta Bay circulation is mainly due to the relative contribution of the wind force acting over the free surface and the tidal motion through the mouths. Due to the geometric complexity of the domain and the presence of several piers along the coast, a curvilinear boundary-fitted computational grid was used, where cells corresponding to land areas or to wharfs were excluded from the computation. Comparisons between numerical results and field measurements were performed. Three different simulations were performed to selectively isolate the effect of each force, wind and tide, acting in the considered domain. The current in the basin was successfully estimated on the basis of the numerical results, demonstrating the specific role of wind and tidal oscillation in the hydrodynamic circulation inside the harbour.

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Section: The 3d Hydrodynamic Model and The Numerical Simulationsmentioning

confidence: 99%

Three-dimensional numerical simulations on wind- and tide-induced currents: The case of Augusta Harbour (Italy)

Marchis

Freni

Napoli

2014

Computers & Geosciences

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“…The variation of this term versus Ursell parameter is plotted in Figure 5. Another interesting result is that the value of SAC is exactly twice times of Bm parameter defined by cnoidal wave theory (23). The value of Bm is calculated for cnoidal waves by …”

Section: New Approach Efficiency Investigationmentioning

confidence: 91%

“…The Ursell parameter is a non-dimensional number which demonstrates the degree of nonlinearity. Most of cnoidal wave parameters are controlled and governed by Ursell parameter (23). Prepared time series resulted from Mike 21 toolbox are analyzed by least square method.…”

Section: Methodsmentioning

confidence: 99%

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Introduction of a Simple Cnoidal Wave Formulation Based on Nonlinear Interaction of Wave-Wave Principles

Mahmoudof

Hajivalie

2017

ijcoe

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In this study, a simple and efficient approach based on nonlinear wave interaction fundamentals is theoretically proposed to generate surface profile of the cnoidal waves. The approach includes Newton-Raphson algorithm to calculate the Ursell parameter and using a simple formulation to attain time series of cnoidal waves profile. The wave profile is determined as a superposition of limited number of cosine harmonics without encountering difficulties of using elliptic or hyperbolic functions, or any complex and complicated differential equations. It is demonstrated that a cnoidal wave profile is a result of high order self nonlinear interactions of primary frequency. Some definite energy is transmitted to higher harmonics due to nonlinear interactions. The amount of transmitted energy is controlled by Ursell parameter. The desirable accuracy determines the number of included harmonics in the proposed formulation and relative error of approach can be predicted based on Fourier and least square analysis techniques. The outputs of the proposed method are verified with cnoidal resulted from elliptic functions and the high efficiency of new approximation is revealed for engineering applications. The calculation of wave parameters such as energy flux, volume flux and radiation stress for cnoidal wave can be approximated using the proposed method. Using this approach, a physical interpretation of the Bm parameter (introduced in the first order of cnoidal wave theory) is presented. The calculation of several parameters such as velocity vectors and dynamic pressure of cnoidal waves is very simple by means of proposed approach.

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“…The input signal was a monochromatic wave of height H, period T and wavelength L. The tests were always carried out within the shallow water limit, i.e. h 0 /L < 1/20 (Svendsen, 2005). Furthermore, the authors decided to test less steep waves to limit their steepening caused by the adoption of the NLSWEs, so that wave breaking was avoided.…”

Section: Monochromatic Wave Testsmentioning

confidence: 99%

Absorbing–generating seaward boundary conditions for fully-coupled hydro-morphodynamical solvers

Incelli

Briganti

Dodd

2015

Coastal Engineering

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Nicholas (2015) Absorbing-generating seaward boundary conditions for fully-coupled hydromorphodynamical solvers. Coastal Engineering, 99 . pp. 96-108. ISSN 0378-3839Access from the University of Nottingham repository: http://eprints.nottingham.ac.uk/44700/1/09_paper%20Briganti.pdf Copyright and reuse:The Nottingham ePrints service makes this work by researchers of the University of Nottingham available open access under the following conditions. This article is made available under the Creative Commons Attribution Non-commercial No Derivatives licence and may be reused according to the conditions of the licence. For more details see: http://creativecommons.org/licenses/by-nc-nd/2.5/ A note on versions:The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription.For more information, please contact eprints@nottingham.ac.uk Firstly, the generation and absorption of single monochromatic waves are studied to quantify the error after the reflected wave exited the domain. In all cases the error is always small, giving evidence of the effectiveness of the new seaward boundary conditions. Furthermore, the propagation and reflection of a monochromatic wave train over a mobile bed are considered. Both flow evolution and bed change are not affected by spurious oscillations when long sequences of waves are tested. Additionally, a very low mobility bed is considered to simulate a 'virtually fixed' bed and new boundary condition results consistently converge to those for the hydrodynamic only case. Finally, the reflection of a uniform bore over a mobile bed is studied. For this case the Rankine-Hugoniot conditions provide an analytical solution. It is apparent that the adopted linear approximations produce errors in the velocity estimates. Nevertheless, the conditions perform reasonably well even in this demanding non-linear case.

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Introduction to Nearshore Hydrodynamics

Cited by 141 publications

References 0 publications

Three-dimensional numerical simulations on wind- and tide-induced currents: The case of Augusta Harbour (Italy)

Three-dimensional numerical simulations on wind- and tide-induced currents: The case of Augusta Harbour (Italy)

Introduction of a Simple Cnoidal Wave Formulation Based on Nonlinear Interaction of Wave-Wave Principles

Absorbing–generating seaward boundary conditions for fully-coupled hydro-morphodynamical solvers

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