Waves' numerical dispersion and damping due to discrete dispersion relation
In linear Rankine panel method, the discrete linear dispersion relation is solved on a discrete free-surface to capture the free-surface waves generated due to wave-body interactions. Discretization introduces numerical damping and dispersion, which depend on the discretization order and the chosen...
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Online Access: | http://hdl.handle.net/11250/2469513 https://doi.org/10.1115/OMAE2014-23152 |
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ftntnutrondheimi:oai:ntnuopen.ntnu.no:11250/2469513 2023-05-15T14:24:03+02:00 Waves' numerical dispersion and damping due to discrete dispersion relation Ommani, Babak Faltinsen, Odd Magnus 2014 http://hdl.handle.net/11250/2469513 https://doi.org/10.1115/OMAE2014-23152 eng eng American Society of Mechanical Engineers (ASME) ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering, Volume 8A: Ocean Engineering Norges forskningsråd: 223254 urn:isbn:978-0-7918-4550-9 http://hdl.handle.net/11250/2469513 https://doi.org/10.1115/OMAE2014-23152 cristin:1165407 Chapter Peer reviewed 2014 ftntnutrondheimi https://doi.org/10.1115/OMAE2014-23152 2019-09-17T06:53:17Z In linear Rankine panel method, the discrete linear dispersion relation is solved on a discrete free-surface to capture the free-surface waves generated due to wave-body interactions. Discretization introduces numerical damping and dispersion, which depend on the discretization order and the chosen methods for differentiation in time and space. The numerical properties of a linear Rankine panel method, based on a direct boundary integral formulation, for capturing two and three dimensional free-surface waves were studied. Different discretization orders and differentiation methods were considered, focusing on the linear distribution and finite difference schemes. The possible sources for numerical instabilities were addressed. A series of cases with and without forward speed was selected, and numerical investigations are presented. For the waves in three dimensions, the influence of the panels’ aspect ratio and the waves’ angle were considered. It has been shown that using the cancellation effects of different differentiation schemes the accuracy of the numerical method could be improved. publishedVersion (c) 2014 by ASME Book Part Arctic NTNU Open Archive (Norwegian University of Science and Technology) Volume 8A: Ocean Engineering |
institution |
Open Polar |
collection |
NTNU Open Archive (Norwegian University of Science and Technology) |
op_collection_id |
ftntnutrondheimi |
language |
English |
description |
In linear Rankine panel method, the discrete linear dispersion relation is solved on a discrete free-surface to capture the free-surface waves generated due to wave-body interactions. Discretization introduces numerical damping and dispersion, which depend on the discretization order and the chosen methods for differentiation in time and space. The numerical properties of a linear Rankine panel method, based on a direct boundary integral formulation, for capturing two and three dimensional free-surface waves were studied. Different discretization orders and differentiation methods were considered, focusing on the linear distribution and finite difference schemes. The possible sources for numerical instabilities were addressed. A series of cases with and without forward speed was selected, and numerical investigations are presented. For the waves in three dimensions, the influence of the panels’ aspect ratio and the waves’ angle were considered. It has been shown that using the cancellation effects of different differentiation schemes the accuracy of the numerical method could be improved. publishedVersion (c) 2014 by ASME |
format |
Book Part |
author |
Ommani, Babak Faltinsen, Odd Magnus |
spellingShingle |
Ommani, Babak Faltinsen, Odd Magnus Waves' numerical dispersion and damping due to discrete dispersion relation |
author_facet |
Ommani, Babak Faltinsen, Odd Magnus |
author_sort |
Ommani, Babak |
title |
Waves' numerical dispersion and damping due to discrete dispersion relation |
title_short |
Waves' numerical dispersion and damping due to discrete dispersion relation |
title_full |
Waves' numerical dispersion and damping due to discrete dispersion relation |
title_fullStr |
Waves' numerical dispersion and damping due to discrete dispersion relation |
title_full_unstemmed |
Waves' numerical dispersion and damping due to discrete dispersion relation |
title_sort |
waves' numerical dispersion and damping due to discrete dispersion relation |
publisher |
American Society of Mechanical Engineers (ASME) |
publishDate |
2014 |
url |
http://hdl.handle.net/11250/2469513 https://doi.org/10.1115/OMAE2014-23152 |
genre |
Arctic |
genre_facet |
Arctic |
op_relation |
ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering, Volume 8A: Ocean Engineering Norges forskningsråd: 223254 urn:isbn:978-0-7918-4550-9 http://hdl.handle.net/11250/2469513 https://doi.org/10.1115/OMAE2014-23152 cristin:1165407 |
op_doi |
https://doi.org/10.1115/OMAE2014-23152 |
container_title |
Volume 8A: Ocean Engineering |
_version_ |
1766296505799409664 |