Wave Transformation Modeling with Effective Higher-Order Finite Elements Article Swipe
Tae-Hwa Jung
,
Yonguk Ryu
·
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.18869/acadpub.jafm.68.236.25049
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.18869/acadpub.jafm.68.236.25049
This study introduces a finite element method using a higher-order interpolation function for effective simulations of wave transformation. Finite element methods with a higher-order interpolation function usually employ a Lagrangian interpolation function that gives accurate solutions with a lesser number of elements compared to lower order interpolation function. At the same time, it takes a lot of time to get a solution because the size of the local matrix increases resulting in the increase of band width of a global matrix as the order of the interpolation function increases. Mass lumping can reduce computation time by making the local matrix a diagonal form. However, the efficiency is not satisfactory because it requires more elements to get results. In this study, the Legendre cardinal interpolation function, a modified Lagrangian interpolation function, is used for efficient calculation. Diagonal matrix generation by applying direct numerical integration to the Legendre cardinal interpolation function like conducting mass lumping can reduce calculation time with favorable accuracy. Numerical simulations of regular, irregular and solitary waves using the Boussinesq equations through applying the interpolation approaches are carried out to compare the higher-order finite element models on wave transformation and examine the efficiency of calculation.
Related Topics
Concepts
Interpolation (computer graphics)
Finite element method
Mathematics
Mass matrix
Transformation (genetics)
Applied mathematics
Linear interpolation
Mathematical analysis
Lagrange polynomial
Spline interpolation
Matrix (chemical analysis)
Inverse quadratic interpolation
Function (biology)
Trilinear interpolation
Bilinear interpolation
Physics
Classical mechanics
Polynomial
Nuclear physics
Biochemistry
Materials science
Gene
Statistics
Biology
Composite material
Neutrino
Thermodynamics
Motion (physics)
Evolutionary biology
Chemistry
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.18869/acadpub.jafm.68.236.25049
- https://www.jafmonline.net/article_1797_514c9a90443c5290ec8115d784f34e5f.pdf
- OA Status
- diamond
- References
- 28
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2524122077
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2524122077Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.18869/acadpub.jafm.68.236.25049Digital Object Identifier
- Title
-
Wave Transformation Modeling with Effective Higher-Order Finite ElementsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2016Year of publication
- Publication date
-
2016-07-01Full publication date if available
- Authors
-
Tae-Hwa Jung, Yonguk RyuList of authors in order
- Landing page
-
https://doi.org/10.18869/acadpub.jafm.68.236.25049Publisher landing page
- PDF URL
-
https://www.jafmonline.net/article_1797_514c9a90443c5290ec8115d784f34e5f.pdfDirect link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
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diamondOpen access status per OpenAlex
- OA URL
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https://www.jafmonline.net/article_1797_514c9a90443c5290ec8115d784f34e5f.pdfDirect OA link when available
- Concepts
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Interpolation (computer graphics), Finite element method, Mathematics, Mass matrix, Transformation (genetics), Applied mathematics, Linear interpolation, Mathematical analysis, Lagrange polynomial, Spline interpolation, Matrix (chemical analysis), Inverse quadratic interpolation, Function (biology), Trilinear interpolation, Bilinear interpolation, Physics, Classical mechanics, Polynomial, Nuclear physics, Biochemistry, Materials science, Gene, Statistics, Biology, Composite material, Neutrino, Thermodynamics, Motion (physics), Evolutionary biology, ChemistryTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- References (count)
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28Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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