A third-order KdV solution for internal solitary waves and its application in the numerical wave tank
| Autor: | Chongwei Zhang, Qicheng Meng |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Environmental Engineering
010504 meteorology & atmospheric sciences lcsh:Ocean engineering Waves2Foam Ocean Engineering Computational fluid dynamics Oceanography 01 natural sciences 010305 fluids & plasmas 0103 physical sciences lcsh:TC1501-1800 OpenFOAM Rigid-lid two-layer model Numerical wave tank Korteweg–de Vries equation Internal solitary waves 0105 earth and related environmental sciences Physics business.industry Group (mathematics) Mathematical analysis Third-order KdV solution Third order Nonlinear system Amplitude Classical mechanics Flow (mathematics) business |
| Zdroj: | Journal of Ocean Engineering and Science, Vol 1, Iss 2, Pp 93-108 (2016) |
| ISSN: | 2468-0133 |
| DOI: | 10.1016/j.joes.2016.03.002 |
| Popis: | A third-order KdV solution to the internal solitary wave is derived by a new method based on the weakly nonlinear assumptions in a rigid-lid two-layer system. The solution corrects an error by Mirie and Su (1984). A two-dimensional numerical wave tank has been established with the help of the open source CFD library OpenFOAM and the third-party software waves2Foam. Various analytical solutions, including the first-order to third-order KdV solutions, the eKdV solution and the MCC solution, have been used to initialise the flow fields in the CFD simulations of internal solitary waves. Two groups including 11 numerical cases have been carried out. In the same group, the initial wave amplitudes are the same but the implemented analytical solutions are different. The simulated wave profiles at different moments have been presented. The relative errors in terms of the wave amplitude between the last time step and the initial input have been analysed quantitatively. It is found that the third-order KdV solution results in the most stable internal solitary wave in the numerical wave tank for both small-amplitude and finite-amplitude cases. The finding is significant for the further simulations involving internal solitary waves. |
| Databáze: | OpenAIRE |
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