Study of mesh sensitivity and temporal discretization influence on the generation of realistic irregular waves through the WaveMIMO methodology

Authors

DOI:

https://doi.org/10.5902/2179460X87167

Keywords:

WaveMIMO methodology, Irregular waves, Realistic sea state, Mesh sensitivity, Time step independence

Abstract

The present study addresses the investigation of mesh sensitivity in the free surface (FS) region and the discretization of the time step (Δt) used in the generation of irregular waves through the WaveMIMO methodology. In this study, this methodology treats data that comes from the TOMAWAC spectral model to obtain realistic orbital velocity profiles of wave propagation, which are subsequently imposed as inlet boundary conditions in the wave channel. Therefore, realistic data are considered relating to a point close to Molhes da Barra in Rio Grande, Rio Grande do Sul. The numerical simulations were carried out in Fluent, a computational fluid dynamics software based on the finite volume method. The volume of fluid multiphase model was used to treat the water-air interface. For the discretization of the FS, four cases were investigated, the first was suggested in the literature, and the other three cases subdivided the region into 4 segments, which presented different discretizations among them. Regarding temporal discretization, 4 different cases were compared, relating the time step to the mean period (Tm) of the sea state considered. The best results were obtained for the combination of 60 mesh elements in FS and Δt = Tm/120.

Downloads

Download data is not yet available.

Author Biographies

Maycon da Silveira Paiva, Universidade Federal do Rio Grande

Holds a degree in Applied Mathematics from the Federal University of Rio Grande (FURG), and is currently studying for a master's degree at the Graduate Program in Applied Mathematics (PPGMAp) at the Federal University of Rio Grande do Sul (UFRGS).

Ana Paula Giussani Mocellin, Universidade Federal do Rio Grande

Master's Degree in Applied Mathematics from the Federal University of Rio Grande do Sul, Brazil (2023). She is currently a PhD student in Computational Modeling at the Federal University of Rio Grande. He has experience in the area of Fluid Dynamics, focused on the energy of ocean waves.

Augusto Hack da Silva Koch, Universidade Federal do Rio Grande do Sul

Undergraduate student in Energy Management Engineering at UFRGS. He works on topics related to smart microgrids and distributed energy generation.

Phelype Haron Oleinik, Universidade Federal do Rio Grande

Civil engineer graduated in the Coastal and Port Civil Engineering course at the Federal University of Rio Grande - FURG (2017). Master's degree in Ocean Engineering from the Graduate Program in Ocean Engineering (PPGEO) at the Federal University of Rio Grande. He has experience in sea state simulations using spectral wave models, and fluid dynamic simulation of wave energy conversion devices. Also has experience in programming, data processing and analysis. He works on the development of numerical models of wave energy conversion, suspended sediment transport, oil spillage and pollutant dispersion. 

Elizaldo Domingues dos Santos, Universidade Federal do Rio Grande

Holds a bachelor's degree in Mechanical Engineering from the Federal University of Rio Grande (2004), a master's degree from the Federal University of Rio Grande do Sul (2007) and a PhD from the Federal University of Rio Grande do Sul (2011). He has experience in the field of mechanical engineering with emphasis on fluid mechanics, heat transfer, thermodynamics, computational fluid dynamics, renewable energy sources and design. He is currently an Associate Professor IV at the Federal University of Rio Grande (FURG) and permanent professor of the Graduate Programs in Computational Modeling (PPGMC) and Ocean Engineering (PPGEO).

Luiz Alberto Oliveira Rocha, Universidade Federal do Rio Grande

He holds a bachelor's degree in Automotive Mechanical Engineering from the Military Institute of Engineering (1991), a master's degree in Mechanical Engineering from the Pontifical Catholic University of Rio de Janeiro (1995), a PhD in Mechanical Engineering from Duke University (2002) and a postdoctoral degree in the area of Turbulence from the Institute of Hydraulic Research/UFRGS/RS (2006). He has experience in the area of Mechanical Engineering, with emphasis on Thermodynamics, Fluid Mechanics and Heat Transfer, working mainly on the following topics: Geometric Optimization, Energy and Exergy Analysis, Alternative/Renewable Energies, Constructal Theory and Design, Modeling, Simulation and Optimization of Systems. He is currently a visiting professor in the PPGs of Mechanical Engineering at UFRGS, Computational Modeling and Ocean Engineering at FURG, and also works as a collaborating researcher at the Laboratory of Complex Flow Systems at the Institute of Earth Sciences of the University of Évora in Portugal.

Liércio André Isoldi, Universidade Federal do Rio Grande

Holds a Technical Course in Mechanics from the Federal Technical School of Pelotas (1993), a Bachelor's Degree in Mechanical Engineering from the Federal University of Rio Grande (1999), a Bachelor's Degree in Civil Engineering from the Federal University of Rio Grande (1999), a Master's Degree in Ocean Engineering (PPGEO) from the Federal University of Rio Grande (2002), a PhD in Engineering (PROMEC) from the Federal University of Rio Grande do Sul (2008) and a Post-Doctorate linked to the Graduate Program in Computational Modeling (PPGMC) of the Federal University of Rio Grande (2009). He is currently Associate Professor IV (40h - DE) at the School of Engineering (EE) of the Federal University of Rio Grande (FURG), Permanent Professor of the Graduate Program in Computational Modeling (PPGMC-FURG) and the Graduate Program in Ocean Engineering (PPGEO-FURG). 

Bianca Neves Machado, Universidade Federal do Rio Grande do Sul

She has a degree in Mathematics from the Federal University of Rio Grande (2009), a Master's degree in Computational Modeling from the Federal University of Rio Grande (2012), and a PhD in Mechanical Engineering from the Federal University of Rio Grande do Sul (2016). He held a Post-Doctorate at the Federal University of Rio Grande, with the Graduate Program in Ocean Engineering (2017). She is currently an adjunct professor, assigned to the Interdisciplinary Department of the Federal University of Rio Grande do Sul, working in the courses of Energy Management Engineering and Interdisciplinary Bachelor in Science and Technology. She works as a Permanent Professor of the Graduate Program in Applied Mathematics (PPGMAp) at UFRGS. He has experience in the area of Applied Mathematics and Mechanical Engineering, working with computational modeling and numerical simulation of devices that convert the energy of sea waves into electrical energy. 

References

Airy, G. B. (1845). Tides and Waves. Encyclopaedia Metropolitana.

Awk, T. (2017). TOMAWAC User Manual Version 7.2. 7.2.3. The Telemac-Mascaret Consortium 7nd ed.

Cardoso, S. D., Marques, W. C., Kirinus, E. D. P., & Stringari, C. E. (2014). Levantamento batimétrico usando cartas náuticas. In: 13ª Mostra da Produção Universitária, Rio Grande: Universidade Federal do Rio Grande, 2.

Chai, T., & Draxler, R. R. (2014). Root mean square error (RMSE) or mean absolute error (MAE)? – Arguments against avoiding RMSE in the literature. Geoscientific Model Development, 7, 1247-1250. DOI: 10.5194/gmd-7-1247-2014.

Gomes, M. N., Isoldi, L.A., Dos Santos, E. D., & Rocha, L. A. O. (2012). Análise de malhas para geração numérica de ondas em tanques.

In: Anais do VII Congresso Nacional de Engenharia Mecânica, Associação Brasileira de Engenharia e Ciências Mecânicas.

Hernández-Fontes, J. V., Martínez, M. L., Wojtarowski, A., González-Mendoza, J. L., Landgrave, R., & Silva, R. (2020). Is Ocean energy an alternative in developing regions? A case study in Michoacan, Mexico. Journal of Cleaner Production, 266, 121984. DOI:

1016/j.jclepro.2020.121984.

Hirt, C. W., & Nichols, B. D. (1981). Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics, 39, 201-225. DOI: 10.1016/0021-9991(81)90145-5.

Lisboa, R. C., Teixeira, P. R., & Didier, E. (2017). Regular and irregular wave propagation analysis in a flume with numerical beach using a Navier-Stokes based model. Defect and Diffusion Forum, 372, 81-90. DOI: 10.4028/www.scientific.net/DDF.372.81.

Machado, B. N., Oleinik, P. H., Kirinus, E. P., Dos Santos, E. D., Rocha, L. A. O., Gomes, M. N., Conde, J. M. P., & Isoldi, L. A. (2021). WaveMIMO Methodology: Numerical Wave Generation of a Realistic Sea State. Journal of Applied and Computational Mechanics, 7,

–2148. DOI: 10.22055/jacm.2021.37617.3051.

McCormick, M. E. (2010). Ocean Engineering Mechanics. Nova Iorque: Cambridge University Press. SBN: 978-0-521-8592-3 Hardback.

Oleinik, P. H., Tavares, G. P., Machado, B. N., & Isoldi, L. A. (2021). Transformation of Water Wave Spectra into Time Series of Surface

Elevation. Earth, 2, 997–1005. DOI: 10.3390/earth2040059.

Pecher, A., & Kofoed, J. P. (2017). Handbook of Ocean Wave Energy, 7nd ed. Switzerland: Springer Nature. ISBN: 978-3-319-39888-4.

Romanowski, A., Tezdogan, T., & Turan, O. (2019). Development of a CFD methodology for the numerical simulation of irregular sea-

states. Ocean Engineering, 192, 106530. DOI: 10.1016/j.oceaneng.2019.106530.

Seibt, F. M., Dos Santos, E. D., Isoldi, L. A., & Rocha, L. A. O. (2023). Constructal Design on full-scale numerical model of a submerged horizontal plate-type wave energy converter. Marine Systems & Ocean Technology, 18, 1–13. DOI: 10.1007/s40868-023-00124-7.

Versteeg, H. K., & Malalasekera, W. (2007). An Introduction to Computational Fluid Dynamics – The Finite Volume Method, Pearson Education Limited, Harlow.

Downloads

Published

2024-11-04

How to Cite

Paiva, M. da S., Mocellin, A. P. G., Koch, A. H. da S., Oleinik, P. H., Santos, E. D. dos, Rocha, L. A. O., Isoldi, L. A., & Machado, B. N. (2024). Study of mesh sensitivity and temporal discretization influence on the generation of realistic irregular waves through the WaveMIMO methodology. Ciência E Natura, 46(esp. 1), e87167. https://doi.org/10.5902/2179460X87167

Issue

Vol. 46 No. esp. 1 (2024): ERMAC e ENMC

Section

Special Edition 1

License

Copyright (c) 2024 Ciência e Natura

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

To access the DECLARATION AND TRANSFER OF COPYRIGHT AUTHOR’S DECLARATION AND COPYRIGHT LICENSE click here.

 

Ethical Guidelines for Journal Publication

The Ciência e Natura journal is committed to ensuring ethics in publication and quality of articles. 

Conformance to standards of ethical behavior is therefore expected of all parties involved: Authors, Editors, Reviewers, and the Publisher.

In particular, 

Authors: Authors should present an objective discussion of the significance of research work as well as sufficient detail and references to permit others to replicate the experiments. Fraudulent or knowingly inaccurate statements constitute unethical behavior and are unacceptable. Review Articles should also be objective, comprehensive, and accurate accounts of the state of the art. The Authors should ensure that their work is entirely original works, and if the work and/or words of others have been used, this has been appropriately acknowledged. Plagiarism in all its forms constitutes unethical publishing behavior and is unacceptable. Submitting the same manuscript to more than one journal concurrently constitutes unethical publishing behavior and is unacceptable. Authors should not submit articles describing essentially the same research to more than one journal. The corresponding Author should ensure that there is a full consensus of all Co-authors in approving the final version of the paper and its submission for publication.

Editors: Editors should evaluate manuscripts exclusively on the basis of their academic merit. An Editor must not use unpublished information in the editor's own research without the express written consent of the Author. Editors should take reasonable responsive measures when ethical complaints have been presented concerning a submitted manuscript or published paper.

Reviewers: Any manuscripts received for review must be treated as confidential documents. Privileged information or ideas obtained through peer review must be kept confidential and not used for personal advantage. Reviewers should be conducted objectively, and observations should be formulated clearly with supporting arguments, so that Authors can use them for improving the paper. Any selected Reviewer who feels unqualified to review the research reported in a manuscript or knows that its prompt review will be impossible should notify the Editor and excuse himself from the review process. Reviewers should not consider manuscripts in which they have conflicts of interest resulting from competitive, collaborative, or other relationships or connections with any of the authors, companies, or institutions connected to the papers.

Most read articles by the same author(s)