Nearshore coastal flow processes using weighted-averaged equations
This work uses the weighted residual method to simulate non-hydrostatic flows in ocean and coastal areas in a vertically-averaged framework. A Vertically-Averaged and Moment equations set is developed. The system is solved through a hybrid finite volume-finite difference numerical scheme to tackle the hyperbolic and elliptic parts of the equations. Data of seven challenging tests are used to evaluate the model ability to reproduce non-linearity, dispersion, wave breaking, bore propagation, sheet flow and wave reflection. The tests comprise propagation of sinusoidal waves over a submerged bar; convergence of the numerical scheme; solitary wave transformation over a dry reef flat, a wet reef flat and an exposed reef crest; collision of two solitary waves; and solitary wave reflection on a vertical wall under non-breaking and breaking conditions. The results highlight the accuracy of the model without prescribing any treatment for wave breaking. The conjunction of long and short waves with wave shoaling, run-up and receding flows is accurately reproduced. The model is considered an alternative tool to Boussinesq-type models to solve non-linear flows in the nearshore region, with the advantage of having an automatic mimic of wave breaking due to the field variables used to produce the weighted residual depth-averaged equations.
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Format: | artículo biblioteca |
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Elsevier
2020-06-01
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Subjects: | Depth-integrated modelling, Weighted residuals method, Nearshore flow, Wave breaking, Run-up, Reflection, |
Online Access: | http://hdl.handle.net/10261/227993 http://dx.doi.org/10.13039/501100003329 http://dx.doi.org/10.13039/501100011033 |
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dig-ias-es-10261-2279932021-01-31T02:39:09Z Nearshore coastal flow processes using weighted-averaged equations Cantero-Chinchilla, Francisco N. Bergillos, Rafael J. Castro-Orgaz, Óscar Agencia Estatal de Investigación (España) Ministerio de Ciencia, Innovación y Universidades (España) Ministerio de Economía y Competitividad (España) Depth-integrated modelling Weighted residuals method Nearshore flow Wave breaking Run-up Reflection This work uses the weighted residual method to simulate non-hydrostatic flows in ocean and coastal areas in a vertically-averaged framework. A Vertically-Averaged and Moment equations set is developed. The system is solved through a hybrid finite volume-finite difference numerical scheme to tackle the hyperbolic and elliptic parts of the equations. Data of seven challenging tests are used to evaluate the model ability to reproduce non-linearity, dispersion, wave breaking, bore propagation, sheet flow and wave reflection. The tests comprise propagation of sinusoidal waves over a submerged bar; convergence of the numerical scheme; solitary wave transformation over a dry reef flat, a wet reef flat and an exposed reef crest; collision of two solitary waves; and solitary wave reflection on a vertical wall under non-breaking and breaking conditions. The results highlight the accuracy of the model without prescribing any treatment for wave breaking. The conjunction of long and short waves with wave shoaling, run-up and receding flows is accurately reproduced. The model is considered an alternative tool to Boussinesq-type models to solve non-linear flows in the nearshore region, with the advantage of having an automatic mimic of wave breaking due to the field variables used to produce the weighted residual depth-averaged equations. This work was supported by the Spanish research project CTM2017-85171-C2-1-R. FNCC and RB were partly funded by the Spanish Ministry of Science, Innovation and Universities through Programa Juan de la Cierva 2016 (FJCI-2016-28009) and Programa Juan de la Cierva 2017 (FJCI-2017-31781), respectively. 2021-01-29T08:30:06Z 2021-01-29T08:30:06Z 2020-06-01 2021-01-29T08:30:06Z artículo http://purl.org/coar/resource_type/c_6501 doi: 10.1016/j.oceaneng.2020.107480 issn: 0029-8018 Ocean Engineering 211: 107480 (2020) http://hdl.handle.net/10261/227993 10.1016/j.oceaneng.2020.107480 http://dx.doi.org/10.13039/501100003329 http://dx.doi.org/10.13039/501100011033 #PLACEHOLDER_PARENT_METADATA_VALUE# #PLACEHOLDER_PARENT_METADATA_VALUE# #PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/CTM2017-85171-C2-1-R info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FJCI-2016-28009 info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/FJCI-2017-31781 http://doi.org/10.1016/j.oceaneng.2020.107480 Sí none Elsevier |
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Depth-integrated modelling Weighted residuals method Nearshore flow Wave breaking Run-up Reflection Depth-integrated modelling Weighted residuals method Nearshore flow Wave breaking Run-up Reflection |
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Depth-integrated modelling Weighted residuals method Nearshore flow Wave breaking Run-up Reflection Depth-integrated modelling Weighted residuals method Nearshore flow Wave breaking Run-up Reflection Cantero-Chinchilla, Francisco N. Bergillos, Rafael J. Castro-Orgaz, Óscar Nearshore coastal flow processes using weighted-averaged equations |
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This work uses the weighted residual method to simulate non-hydrostatic flows in ocean and coastal areas in a vertically-averaged framework. A Vertically-Averaged and Moment equations set is developed. The system is solved through a hybrid finite volume-finite difference numerical scheme to tackle the hyperbolic and elliptic parts of the equations. Data of seven challenging tests are used to evaluate the model ability to reproduce non-linearity, dispersion, wave breaking, bore propagation, sheet flow and wave reflection. The tests comprise propagation of sinusoidal waves over a submerged bar; convergence of the numerical scheme; solitary wave transformation over a dry reef flat, a wet reef flat and an exposed reef crest; collision of two solitary waves; and solitary wave reflection on a vertical wall under non-breaking and breaking conditions. The results highlight the accuracy of the model without prescribing any treatment for wave breaking. The conjunction of long and short waves with wave shoaling, run-up and receding flows is accurately reproduced. The model is considered an alternative tool to Boussinesq-type models to solve non-linear flows in the nearshore region, with the advantage of having an automatic mimic of wave breaking due to the field variables used to produce the weighted residual depth-averaged equations. |
author2 |
Agencia Estatal de Investigación (España) |
author_facet |
Agencia Estatal de Investigación (España) Cantero-Chinchilla, Francisco N. Bergillos, Rafael J. Castro-Orgaz, Óscar |
format |
artículo |
topic_facet |
Depth-integrated modelling Weighted residuals method Nearshore flow Wave breaking Run-up Reflection |
author |
Cantero-Chinchilla, Francisco N. Bergillos, Rafael J. Castro-Orgaz, Óscar |
author_sort |
Cantero-Chinchilla, Francisco N. |
title |
Nearshore coastal flow processes using weighted-averaged equations |
title_short |
Nearshore coastal flow processes using weighted-averaged equations |
title_full |
Nearshore coastal flow processes using weighted-averaged equations |
title_fullStr |
Nearshore coastal flow processes using weighted-averaged equations |
title_full_unstemmed |
Nearshore coastal flow processes using weighted-averaged equations |
title_sort |
nearshore coastal flow processes using weighted-averaged equations |
publisher |
Elsevier |
publishDate |
2020-06-01 |
url |
http://hdl.handle.net/10261/227993 http://dx.doi.org/10.13039/501100003329 http://dx.doi.org/10.13039/501100011033 |
work_keys_str_mv |
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1777663296811302912 |