Integral equation technique for water wave interaction by an array of vertical flexible porous wave barriers Article Swipe
Santanu Koley
,
T. Sahoo
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1002/zamm.201900274
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.1002/zamm.201900274
Scattering of obliquely incident surface gravity waves by an array of partial flexible vertical porous wave barriers of varied configurations is studied in finite water depth and deep water cases. For the mathematical modeling purpose, linearized water wave theory is considered. Firstly, the problem associated with double vertical barriers is handled for a solution. To solve the problem, the associated BVP (boundary value problem) is transformed into a system of Fredholm integral equations of the second kind. By using suitable quadrature formulae, these integral equations are converted to a system of linear algebraic equations. These are solved to compute various important physical quantities associated with wave scattering. The energy identities for both finite water depth and deep water cases are derived. These derived energy identities are used to check the computational accuracy and to quantify the loss of wave energy by the barrier system. Subsequently, the study is extended to deal with wave scattering by multiple non‐identical unequally spaced barriers using wide‐spacing approximation and results for equally spaced identical barriers are obtained as a special case. The methodology is further generalized to deal with Bloch problem to incorporate a periodic array of infinite barriers. Occurrences of Bragg resonance in case of multiple barriers are analyzed. From the results associated with the linearized water wave theory, the second‐order mean wave forces are computed and compared with the first‐order wave forces. The phenomena of cloaking for wave scattering by multiple impervious barriers are discussed for a wide variety of wave and structural parameters. The methodology used in this present study can easily be generalized to solve similar problems that arise in mathematical physics.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1002/zamm.201900274
- https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/zamm.201900274
- OA Status
- bronze
- Cited By
- 16
- References
- 46
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3106775291
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- OpenAlex ID
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https://openalex.org/W3106775291Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1002/zamm.201900274Digital Object Identifier
- Title
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Integral equation technique for water wave interaction by an array of vertical flexible porous wave barriersWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2020Year of publication
- Publication date
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2020-12-03Full publication date if available
- Authors
-
Santanu Koley, T. SahooList of authors in order
- Landing page
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https://doi.org/10.1002/zamm.201900274Publisher landing page
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https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/zamm.201900274Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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bronzeOpen access status per OpenAlex
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https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/zamm.201900274Direct OA link when available
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Scattering, Mathematical analysis, Boundary value problem, Integral equation, Algebraic equation, Mathematics, Wave equation, Scattering theory, Physics, Optics, Quantum mechanics, Nonlinear systemTop concepts (fields/topics) attached by OpenAlex
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16Total citation count in OpenAlex
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2025: 1, 2024: 4, 2023: 5, 2022: 4, 2021: 2Per-year citation counts (last 5 years)
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46Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| corresponding_author_ids | https://openalex.org/A5077253627 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| corresponding_institution_ids | https://openalex.org/I4210101034, https://openalex.org/I74796645 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/6 |
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| sustainable_development_goals[0].display_name | Clean water and sanitation |
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| citation_normalized_percentile.is_in_top_10_percent | False |