WSEAS Transactions on Fluid Mechanics


Print ISSN: 1790-5087
E-ISSN: 2224-347X

Volume 13, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 13, 2018



Numerical Investigation of Wave Fields and Currents in a Coastal Engineering Case Study

AUTHORS: Giovanni Cannata, Luca Barsi, Chiara Petrelli, Francesco Gallerano

Download as PDF

ABSTRACT: In this paper, we present a Boussinesq type model which is able to simulate wave fields and nearshore currents in coastal regions characterized by morphologically complex coastal lines and irregular seabed and by the presence of coastal structures. The proposed model solves the integral contravariant form of the fully nonlinear Boussinesq equations, from deep water up to just seaward of the surf zones, and the non-linear shallow water equations, in the surf zone, on curvilinear boundary conforming grids. By the proposed model, a detailed representation is carried out of the hydrodynamic phenomena which contribute to generate the silting process at the entrance of the Cetraro harbour (Italy). Furthermore, the effects produced by the placement of a groin updrift of the head of the main jetty on coastal hydrodynamics and sediment transport are evaluated.

KEYWORDS: -coastal engineering, Boussinesq equations, contravariant formulation, shock-capturing method, breaking waves, nearshore currents

REFERENCES:

[1] Aris, R., Vectors, tensors, and the basic equations of fluid mechanics, New York, USA, Dover, 1989.

[2] Cannata, G., Lasaponara, F. & Gallerano, F., Non-Linear Shallow Water Equations numerical integration on curvilinear boundary-conforming grids, WSEAS Transactions on Fluid Mechanics, No. 10, 2015, pp. 13-25.

[3] Cannata, G., Petrelli, C., Barsi, L., Camilli, F. & Gallerano, F., 3D free surface flow simulations based on the integral form of the equations of motion, WSEAS Transactions on Fluid Mechanics, No. 12, 2017, pp. 166-175.

[4] Cannata, G., Petrelli, C., Barsi, L., Fratello, F. & Gallerano, F., A dam-break flood simulation model in curvilinear coordinates, WSEAS Transactions on Fluid Mechanics, No. 13, 2018, pp. 60-70.

[5] Chen, Q., Fully nonlinear Boussinesq-type equations for waves and currents over porous bed, Journal of Engineering Mechanics, No. 132(2), 2006, pp. 220-230.

[6] Gallerano, F., Cannata, G. & Tamburrino, M., Upwind WENO scheme for shallow water equations in contravariant formulation, Computers & Fluids, No. 62, 2012, pp. 1-12.

[7] Gallerano, F., Cannata, G. & Lasaponara, F., Numerical simulation of wave transformation, breaking run-up by a contravariant fully nonlinear Boussinesq model, Journal of Hydrodynamics B, No. 28, 2016, pp. 379-388.

[8] Gallerano, F., Cannata, G. & Lasaponara, F., A new numerical model for simulations of wave transformation, breaking and longshore currents in complex coastal regions, International Journal for Numerical Methods in Fluids, No. 80, 2016, pp. 571-613.

[9] Gallerano, F., Cannata, G., Lasaponara, F. & Petrelli, C., A new three-dimensional finitevolume non-hydrostatic shock-capturing model for free surface flow, Journal of Hydrodynamics, No. 29(4), 2017, pp. 552-566.

[10] Gallerano, F., Pasero, E. & Cannata, G., A dynamic two-equation sub grid scale model, Continuum Mechanics and Thermodynamics, No. 17(2), 2005, pp. 101-123.

[11] Keshtpoor, M., Puleo, J. A., Shi, F. & Ma, G., 3D numerical simulation of turbulence and sediment transport within a tidal inlet, Coastal Engineering, No. 96, 2015, pp. 13-26.

[12] Luo, H. & Bewley, T. R., On the contravariant form of the Navier–Stokes equations in timedependent curvilinear coordinate systems, Journal of Computational Physics, No. 199(1), 2004, pp. 355-375.

[13] Ma, G., Shi, F. & Kirby, J.T., Shock-capturing non-hydrostatic model for fully dispersive surface wave processes, Ocean Modelling, No. 43-44, 2012, pp. 22-35.

[14] Nwogu, O., An alternative form of the Boussinesq equations for near shore wave propagation, Journal of Waterway, Port, Coastal and Ocean Engineering, No. 119(6), 1993, pp. 618-638.

[15] Roeber, V. & Cheung, K. F., Boussinesq-type model for energetic breaking waves in fringing reef environments, Coastal Engineering, No. 70, 2012, pp. 1-20.

[16] Rossmanith, J.A., Bale, D.S. & LeVeque, R.J., A wave propagation algorithm for hyperbolic systems on curved manifolds, Journal of Computational Physics, No. 199(2), 2004, pp. 631-662.

[17] Shi, F., Kirby, J. T., Harris, J. C., Geiman, J. D., & Grilli, S. T., A high-order adaptive timestepping TVD solver for Boussinesq modeling of breaking waves and coastal inundation, Ocean Modelling, No. 43, 2012, pp. 36-51.

[18] Shi, F., Kong, Y. & Ding, P., An implicit method using contravariant velocity components and calculations in a harbour-channel area, ACTA Oceanologica Sinica, No. 17(4), 1998, pp. 423- 432.

[19] Tonelli, M. & Petti, M., Hybrid finite-volume finite-difference scheme for 2HD improved Boussinesq equations, Coastal Engineering, No. 56, 2009, pp. 609-620.

[20] Tonelli, M., & Petti, M., Shock-capturing Boussinesq model for irregular wave propagation, Coastal Engineering, No. 61, 2012, pp. 8-19.

[21] Toro, E., Shock-capturing methods for freesurface shallow flows, John Wiley and Sons: Manchester, 2001.

[22] Wei, G., Kirby, J. T., Grilli, S. T., & Subramanya, R., A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves, Journal of Fluid Mechanics, No. 294, 1995, pp. 71-92

WSEAS Transactions on Fluid Mechanics, ISSN / E-ISSN: 1790-5087 / 2224-347X, Volume 13, 2018, Art. #11, pp. 87-94


Copyright Β© 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

Bulletin Board

Currently:

The editorial board is accepting papers.


WSEAS Main Site