The effect of bottom friction in 2D non-homogeneous wave resonance phenomena
In this research, we study the effect of bottom friction on the resonance in 2Dxy rectangular basin using a mathematical model. The governing equations used are the shallow water equations with bottom friction. To obtain the natural wave period that cause a resonance, the mathematical model is solve...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-09-01
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| Series: | Results in Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590123022001347 |
| _version_ | 1811274332547055616 |
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| author | Ikha Magdalena Daniel R. Gunawan A. Mauditra A. Matin |
| author_facet | Ikha Magdalena Daniel R. Gunawan A. Mauditra A. Matin |
| author_sort | Ikha Magdalena |
| collection | DOAJ |
| description | In this research, we study the effect of bottom friction on the resonance in 2Dxy rectangular basin using a mathematical model. The governing equations used are the shallow water equations with bottom friction. To obtain the natural wave period that cause a resonance, the mathematical model is solved analytically and numerically. Moreover, we investigate the resonance occurred for various wave modes. To validate the numerical model, comparisons against the analytical solutions are provided. Results from both methods turn out to be in very good agreement. The effects of the modes and dimensions on resonance are analyzed. This research can be beneficial for consideration to protect lakes. |
| first_indexed | 2024-04-12T23:17:08Z |
| format | Article |
| id | doaj.art-4c79c5952e954104b0bf481096f8dc21 |
| institution | Directory Open Access Journal |
| issn | 2590-1230 |
| language | English |
| last_indexed | 2024-04-12T23:17:08Z |
| publishDate | 2022-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj.art-4c79c5952e954104b0bf481096f8dc212022-12-22T03:12:39ZengElsevierResults in Engineering2590-12302022-09-0115100464The effect of bottom friction in 2D non-homogeneous wave resonance phenomenaIkha Magdalena0Daniel R. Gunawan1A. Mauditra A. Matin2Corresponding author.; Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, IndonesiaFaculty of Mathematics and Natural Sciences, Bandung Institute of Technology, IndonesiaFaculty of Mathematics and Natural Sciences, Bandung Institute of Technology, IndonesiaIn this research, we study the effect of bottom friction on the resonance in 2Dxy rectangular basin using a mathematical model. The governing equations used are the shallow water equations with bottom friction. To obtain the natural wave period that cause a resonance, the mathematical model is solved analytically and numerically. Moreover, we investigate the resonance occurred for various wave modes. To validate the numerical model, comparisons against the analytical solutions are provided. Results from both methods turn out to be in very good agreement. The effects of the modes and dimensions on resonance are analyzed. This research can be beneficial for consideration to protect lakes.http://www.sciencedirect.com/science/article/pii/S2590123022001347Wave resonanceNatural resonant period2D shallow water equationsFinite volume method |
| spellingShingle | Ikha Magdalena Daniel R. Gunawan A. Mauditra A. Matin The effect of bottom friction in 2D non-homogeneous wave resonance phenomena Results in Engineering Wave resonance Natural resonant period 2D shallow water equations Finite volume method |
| title | The effect of bottom friction in 2D non-homogeneous wave resonance phenomena |
| title_full | The effect of bottom friction in 2D non-homogeneous wave resonance phenomena |
| title_fullStr | The effect of bottom friction in 2D non-homogeneous wave resonance phenomena |
| title_full_unstemmed | The effect of bottom friction in 2D non-homogeneous wave resonance phenomena |
| title_short | The effect of bottom friction in 2D non-homogeneous wave resonance phenomena |
| title_sort | effect of bottom friction in 2d non homogeneous wave resonance phenomena |
| topic | Wave resonance Natural resonant period 2D shallow water equations Finite volume method |
| url | http://www.sciencedirect.com/science/article/pii/S2590123022001347 |
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