Comparison of analytical and numerical solutions for wave interaction with a vertical porous barrier.
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| Title: | Comparison of analytical and numerical solutions for wave interaction with a vertical porous barrier. |
|---|---|
| Authors: | Mackay, Ed1 (AUTHOR) e.mackay@exeter.ac.uk, Johanning, Lars1,2 (AUTHOR) |
| Source: | Ocean Engineering. Mar2020, Vol. 199, pN.PAG-N.PAG. 1p. |
| Subjects: | Analytical solutions, Boundary element methods, Free convection, Drag coefficient, Drag (Aerodynamics), Reflectance, Free surfaces |
| Abstract: | Analytical solutions for wave interaction with a vertical porous barrier are presented. The analytical solutions are derived using two different methods for taking the depth-average of the pressure drop across the porous barrier. Both solutions assume that the evanescent modes in the wave field can be neglected. The results from the analytical models are compared to results from an iterative boundary element method (BEM) model. The BEM model shows that neglecting evanescent modes is a reasonable assumption for long waves, but that for short waves the velocity through the porous wall from the evanescent modes can be up to 25% of the velocity from the progressive modes at the free surface. However, the effect of neglecting the evanescent modes has only a small effect on the depth-averaged velocity through porous wall and the analytical models derived using depth-averaged assumptions are shown to give good agreement with the BEM model for the reflection coefficient, horizontal force and overturning moment on the porous barrier. The analytical models are used to investigate the effects of the drag and inertia coefficients of the porous barrier on the behaviour of the solution. It is shown that for fixed values of the drag coefficient, wave frequency and amplitude, the solutions for the reflection coefficient lie on approximately semicircular arcs on the complex plane, with the position on the arc determined by the inertial coefficient. This places bounds on the size of the phase change in the reflected and transmitted wave that are possible. The analytical models are also used to derive the asymptotic behaviour of the solution in long and short waves. The implications of the results for more general cases of wave interaction with porous structures are discussed. • New analytical solutions presented for wave interaction with vertical porous barrier. • Analytical solutions agree well with iterative boundary element method solution. • Asymptotic solutions for long and short waves presented. • Bounds derived for maximum phase change in reflected and transmitted waves. [ABSTRACT FROM AUTHOR] |
| Copyright of Ocean Engineering is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 141904214 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Comparison of analytical and numerical solutions for wave interaction with a vertical porous barrier. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mackay%2C+Ed%22">Mackay, Ed</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> e.mackay@exeter.ac.uk</i><br /><searchLink fieldCode="AR" term="%22Johanning%2C+Lars%22">Johanning, Lars</searchLink><relatesTo>1,2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Ocean+Engineering%22">Ocean Engineering</searchLink>. Mar2020, Vol. 199, pN.PAG-N.PAG. 1p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+element+methods%22">Boundary element methods</searchLink><br /><searchLink fieldCode="DE" term="%22Free+convection%22">Free convection</searchLink><br /><searchLink fieldCode="DE" term="%22Drag+coefficient%22">Drag coefficient</searchLink><br /><searchLink fieldCode="DE" term="%22Drag+%28Aerodynamics%29%22">Drag (Aerodynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Reflectance%22">Reflectance</searchLink><br /><searchLink fieldCode="DE" term="%22Free+surfaces%22">Free surfaces</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Analytical solutions for wave interaction with a vertical porous barrier are presented. The analytical solutions are derived using two different methods for taking the depth-average of the pressure drop across the porous barrier. Both solutions assume that the evanescent modes in the wave field can be neglected. The results from the analytical models are compared to results from an iterative boundary element method (BEM) model. The BEM model shows that neglecting evanescent modes is a reasonable assumption for long waves, but that for short waves the velocity through the porous wall from the evanescent modes can be up to 25% of the velocity from the progressive modes at the free surface. However, the effect of neglecting the evanescent modes has only a small effect on the depth-averaged velocity through porous wall and the analytical models derived using depth-averaged assumptions are shown to give good agreement with the BEM model for the reflection coefficient, horizontal force and overturning moment on the porous barrier. The analytical models are used to investigate the effects of the drag and inertia coefficients of the porous barrier on the behaviour of the solution. It is shown that for fixed values of the drag coefficient, wave frequency and amplitude, the solutions for the reflection coefficient lie on approximately semicircular arcs on the complex plane, with the position on the arc determined by the inertial coefficient. This places bounds on the size of the phase change in the reflected and transmitted wave that are possible. The analytical models are also used to derive the asymptotic behaviour of the solution in long and short waves. The implications of the results for more general cases of wave interaction with porous structures are discussed. • New analytical solutions presented for wave interaction with vertical porous barrier. • Analytical solutions agree well with iterative boundary element method solution. • Asymptotic solutions for long and short waves presented. • Bounds derived for maximum phase change in reflected and transmitted waves. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Ocean Engineering is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.oceaneng.2020.107032 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 1 StartPage: N.PAG Subjects: – SubjectFull: Analytical solutions Type: general – SubjectFull: Boundary element methods Type: general – SubjectFull: Free convection Type: general – SubjectFull: Drag coefficient Type: general – SubjectFull: Drag (Aerodynamics) Type: general – SubjectFull: Reflectance Type: general – SubjectFull: Free surfaces Type: general Titles: – TitleFull: Comparison of analytical and numerical solutions for wave interaction with a vertical porous barrier. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mackay, Ed – PersonEntity: Name: NameFull: Johanning, Lars IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2020 Type: published Y: 2020 Identifiers: – Type: issn-print Value: 00298018 Numbering: – Type: volume Value: 199 Titles: – TitleFull: Ocean Engineering Type: main |
| ResultId | 1 |
