The Propagation of Nonlinear Internal Waves under the Influence of Variable Topography and Earth’s Rotation in a Two-Layer Fluid
| Autor: | Azwani Alias, Fatimah Noor Harun, Nik Nur Amiza Nik Ismail |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
010504 meteorology & atmospheric sciences
Wave packet nonlinear wave packet Mathematics::Analysis of PDEs solitary wave variable topography lcsh:Thermodynamics Rotation 01 natural sciences variable-coefficient Ostrovsky equation 010305 fluids & plasmas lcsh:QC310.15-319 0103 physical sciences Korteweg–de Vries equation Nonlinear Sciences::Pattern Formation and Solitons 0105 earth and related environmental sciences Earth's rotation Envelope (waves) Variable (mathematics) lcsh:QC120-168.85 Fluid Flow and Transfer Processes Physics Mechanical Engineering Earth’s rotation Mechanics Internal wave Condensed Matter Physics Nonlinear system Nonlinear Sciences::Exactly Solvable and Integrable Systems lcsh:Descriptive and experimental mechanics |
| Zdroj: | Fluids Volume 5 Issue 3 Fluids, Vol 5, Iss 140, p 140 (2020) |
| ISSN: | 2311-5521 |
| DOI: | 10.3390/fluids5030140 |
| Popis: | A nonlinear equation of the Korteweg&ndash de Vries equation usually describes internal solitary waves in the coastal ocean that lead to an exact solitary wave solution. However, in any real application, there exists the Earth&rsquo s rotation. Thus, an additional term is required, and consequently, the Ostrovsky equation is developed. This additional term is believed to destroy the solitary wave solution and form a nonlinear envelope wave packet instead. In addition, an internal solitary wave is commonly disseminated over the variable topography in the ocean. Because of these effects, the Ostrovsky equation is retrieved by a variable-coefficient Ostrovsky equation. In this study, the combined effects of both background rotation and variable topography on a solitary wave in a two-layer fluid is studied since internal waves typically happen here. A numerical simulation for the variable-coefficient Ostrovsky equation with a variable topography is presented. Two basic examples of the depth profile are considered in detail and sustained by numerical results. The first one is the constant-slope bottom, and the second one is the specific bottom profile following the previous studies. These indicate that the combination of variable topography and rotation induces a secondary trailing wave packet. |
| Databáze: | OpenAIRE |
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