Driven nonlinear potential flow with wave breaking at shallow-water beaches
We introduce a new model of nonlinear dispersive waves generated by wavemakers in deep water, coupled to a shallowwater model with wave breaking, modelled as hydraulics bores, in the shore zone. Coupling of deep- and shallow-water models requires the formulation of an advanced space-time technology...
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American Society of Mechanical Engineers
2017
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ftleedsuniv:oai:eprints.whiterose.ac.uk:125084 2023-05-15T14:25:32+02:00 Driven nonlinear potential flow with wave breaking at shallow-water beaches Gidel, F Bokhove, O Kelmanson, M 2017-06 https://eprints.whiterose.ac.uk/125084/ unknown American Society of Mechanical Engineers Gidel, F, Bokhove, O and Kelmanson, M (2017) Driven nonlinear potential flow with wave breaking at shallow-water beaches. In: ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2017). OMAE 2017, 25-30 Jun 2017, Trondheim, Norway. American Society of Mechanical Engineers . ISBN 9780791857632 Proceedings Paper NonPeerReviewed 2017 ftleedsuniv 2023-01-30T22:01:53Z We introduce a new model of nonlinear dispersive waves generated by wavemakers in deep water, coupled to a shallowwater model with wave breaking, modelled as hydraulics bores, in the shore zone. Coupling of deep- and shallow-water models requires the formulation of an advanced space-time technology able to stably capture the free-surface dynamics. Our approach comprises the direct discretisation of the variational principle for the continuum modelling of potential-flow water-wave dynamics. Preservation of the variational structure in the discretisation ensures that important conservation properties of the original continuum system are inherited to a high degree by the discrete system. The nonlinear equations of motion resulting from the coupling of the potential-flow water-waves and the (breaking) shallow-water waves are solved in unison. By construction, this process results in a stable and robust numerical scheme that is well suited to demanding maritime applications. Report Arctic White Rose Research Online (Universities of Leeds, Sheffield & York) |
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Open Polar |
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White Rose Research Online (Universities of Leeds, Sheffield & York) |
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ftleedsuniv |
language |
unknown |
description |
We introduce a new model of nonlinear dispersive waves generated by wavemakers in deep water, coupled to a shallowwater model with wave breaking, modelled as hydraulics bores, in the shore zone. Coupling of deep- and shallow-water models requires the formulation of an advanced space-time technology able to stably capture the free-surface dynamics. Our approach comprises the direct discretisation of the variational principle for the continuum modelling of potential-flow water-wave dynamics. Preservation of the variational structure in the discretisation ensures that important conservation properties of the original continuum system are inherited to a high degree by the discrete system. The nonlinear equations of motion resulting from the coupling of the potential-flow water-waves and the (breaking) shallow-water waves are solved in unison. By construction, this process results in a stable and robust numerical scheme that is well suited to demanding maritime applications. |
format |
Report |
author |
Gidel, F Bokhove, O Kelmanson, M |
spellingShingle |
Gidel, F Bokhove, O Kelmanson, M Driven nonlinear potential flow with wave breaking at shallow-water beaches |
author_facet |
Gidel, F Bokhove, O Kelmanson, M |
author_sort |
Gidel, F |
title |
Driven nonlinear potential flow with wave breaking at shallow-water beaches |
title_short |
Driven nonlinear potential flow with wave breaking at shallow-water beaches |
title_full |
Driven nonlinear potential flow with wave breaking at shallow-water beaches |
title_fullStr |
Driven nonlinear potential flow with wave breaking at shallow-water beaches |
title_full_unstemmed |
Driven nonlinear potential flow with wave breaking at shallow-water beaches |
title_sort |
driven nonlinear potential flow with wave breaking at shallow-water beaches |
publisher |
American Society of Mechanical Engineers |
publishDate |
2017 |
url |
https://eprints.whiterose.ac.uk/125084/ |
genre |
Arctic |
genre_facet |
Arctic |
op_relation |
Gidel, F, Bokhove, O and Kelmanson, M (2017) Driven nonlinear potential flow with wave breaking at shallow-water beaches. In: ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2017). OMAE 2017, 25-30 Jun 2017, Trondheim, Norway. American Society of Mechanical Engineers . ISBN 9780791857632 |
_version_ |
1766297980737945600 |