Regular and Irregular Wave Propagation Analysis in a Flume with Numerical Beach Using a Navier-Stokes Based Model

Article Preview

Abstract:

This paper describes the analysis of the propagation of regular and irregular waves in a flume by using Fluent® model, which is based on the Navier-Stokes (NS) equations and employs the finite volume method and the Volume of Fluid (VoF) technique to deal with two-phase flows (air and water). At the end of the flume, a numerical beach is used to suppress wave reflections. The methodology consists of adding a damping sink term to the momentum equation. In this study, this term is calibrated for three cases of regular incident waves (H = 1 m, T = 5, 7.5, and 12 s) by varying the linear and quadratic damping coefficients of the formulation. In general, while lower values of damping coefficients cause residuals on the free surface elevation due to wave interactions with the outlet boundary, reflection occurs on the numerical beach when higher values are used. A range of optimal damping coefficients are found considering one of them null. In one of these cases, temporal series of free surface elevation are compared with theoretical ones and very good agreement is reached. Afterwards, an irregular wave propagation, characterized by a JONSWAP spectrum, is investigated. Several gauges along the flume are evaluated and good agreement between the spectrum obtained numerically and the ones imposed at beginning of the flume is verified. This study shows the capacity of NS models, such as Fluent®, to simulate adequately regular and irregular wave propagations in a flume with numerical beach to avoid reflections.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

81-90

Citation:

Online since:

March 2017

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2016 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Y. Goda, Randon Seas and Design of Maritime Structures, World Scientific Publishing, Advanced Series on Ocean Engineering, v. 15, (2010).

Google Scholar

[2] P. A. Madsen, R. Murray, O. R. Sørensen, A new form of the Boussinesq equations with improved linear dispersion characteristics, Coastal Engineering. 15 (1991) 371-388.

DOI: 10.1016/0378-3839(91)90017-b

Google Scholar

[3] P. A. Madsen, O. R. Sørensen, A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 2. A slowly-varying bathymetry, Coastal Engineering. 18 (1992) 183-204.

DOI: 10.1016/0378-3839(92)90019-q

Google Scholar

[4] P. A. Madsen, J. Larsen, An Efficient Finite-Difference Approach to the Mild-Slope Equation, Coastal Engineering. 11 (1987) 329-351.

DOI: 10.1016/0378-3839(87)90032-9

Google Scholar

[5] N. Booij, R. C. Ris, L. H. Holthuijsen, A third-generation wave model for coastal regions 1. Model description and validation, Journal of Geophysical Research. 104 (1999) 7649-7666.

DOI: 10.1029/98jc02622

Google Scholar

[6] J. L. Lara, N. Garcia, I J. Losada, RANS modeling applied to random wave interaction with submerged permeable structures, Coastal Engineering. 53 (2006) 395 – 417.

DOI: 10.1016/j.coastaleng.2005.11.003

Google Scholar

[7] J. L. Lara, A. Ruju, I. J. Losada, Reynolds averaged Navier-Stokes modelling of long waves induced by a transient wave group on a beach, Proceedings of the royal society A. 467 (2011) 1215 – 1242.

DOI: 10.1098/rspa.2010.0331

Google Scholar

[8] P. Higuera, J. L. Lara, I. J. Losada, Realistic wave generation and active wave absorption for Navier-Stokes models Application to OpenFOAM®, Coastal Engineering. 71 (2013) 102 – 118.

DOI: 10.1016/j.coastaleng.2012.07.002

Google Scholar

[9] ANSYS, Fluent User's Guide, 2015 a.

Google Scholar

[10] K. Hasselmann, T. P. Barnett, E. Bouws, H. Carlson, D. E. Cartwright, K. Enke, J. A. Ewing, H. Gienapp, D. E. Hasselmann, P. Kruseman, A. Meerburn, P. Müller, D. J. Olbers, K. Richter, W. Sell, H. Walden. Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP). Deutsche Hydrographische Zeitschrift, (8), Reihe A, (1973).

Google Scholar

[11] P. J. Zwart, P. G. Godin, J. Penrose, S. H. Rhee, Ship Hull Simulations with a Coupled Solution Algorithm, Proceedings of the 10th International Symposium on Practical Designs of Ships and Other Floating Structures, Houston, TX, (2007).

Google Scholar

[12] J. C. Park, M. H. Kim, H. Mitaya, Fully non-linear free surface simulation by a 3D viscous numerical wave tank, International Journal for Numerical Method in Fluids. 29 (1999) 685 – 703.

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

Google Scholar

[13] R. Péric and M. Abdel-Maksoud, Reliable damping of free-surface waves in numerical simulations, Ship Technology Research. 63 (2016) 1 – 13.

DOI: 10.1080/09377255.2015.1119921

Google Scholar

[14] H. Versteeg and W. Malalasekera, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Pearson, ed. 2, (2007).

Google Scholar

[15] C. W. Hirt and B. D. Nichols, B. D., Volume of fluid (VOF) method for the dynamics of free boundaries, Journal of Computational Physics. 39 (1981) 201 – 225.

DOI: 10.1016/0021-9991(81)90145-5

Google Scholar

[16] ANSYS, Fluent Theory Guide, 2015 b.

Google Scholar

[17] K. O. Cornell and A. Cashman, Development of a numerical wave tank with reduced discretization error, Proceedings of the International Conference on Electrical, Electronics and Optimization Techniques (ICEEOT), (2016).

DOI: 10.1109/iceeot.2016.7755252

Google Scholar

[18] Det Norske Veritas, Recommended Practice DNV-RP-C205 - Environmental Conditions and Environmental Loads, (2010).

Google Scholar

[19] ANSYS, Gambit User's Guide, (2007).

Google Scholar

[20] R. Dean and R. A. Dalrymple, Water Wave Mechanics for Engineers and Scientists, World Scientific Publishing, Advanced Series on Ocean Engineering, v. 2, (1991).

DOI: 10.1142/1232

Google Scholar