New Internal-Wave Model in a Two-Layer Fluid
| Autor: | B. B. Zhao, W.Y. Duan, William C. Webster, R.C. Ertekin |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Mathematical analysis Two layer Ocean Engineering Wave speed Internal wave 01 natural sciences 010305 fluids & plasmas Euler equations 010101 applied mathematics Dispersive partial differential equation Nonlinear system symbols.namesake Distribution (mathematics) 0103 physical sciences symbols 0101 mathematics Water Science and Technology Civil and Structural Engineering |
| Zdroj: | Journal of Waterway, Port, Coastal, and Ocean Engineering. 142 |
| ISSN: | 1943-5460 0733-950X |
| DOI: | 10.1061/(asce)ww.1943-5460.0000323 |
| Popis: | To model internal waves, high-level Green-Naghdi (GN) equations that are strongly nonlinear were developed for a two-layer fluid with a rigid lid over the upper layer. The GN models were applied to two internal-solitary-wave cases: weakly dispersive and strongly dispersive. In the weakly dispersive case, the ratio between the upper and lower layers was 1:4.13. In the strongly dispersive case, the two depth ratios between the upper and lower layers were 1:24 and 10.13:1. For both the weakly and strongly dispersive test cases, the converged GN results for wave speed, wave profile, and velocity distribution agreed well with the experimental data and the solution of Euler equations, even for large-amplitude solitary waves. For the strongly nonlinear and strongly dispersive cases, the converged GN results showed better accuracy than some other strongly nonlinear models. |
| Databáze: | OpenAIRE |
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