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A modified model for waves generated by a moving body in a stratified fluid with free surface
Citation Link: https://doi.org/10.15480/882.3310
Publikationstyp
Conference Paper
Date Issued
2019-09
Sprache
English
Author(s)
Herausgeber*innen
TORE-DOI
TORE-URI
Article Number
6
Citation
11th International Workshop on Ship and Marine Hydrodynamics (IWSH2019), Paper 6
Contribution to Conference
The model proposed by Milder and further developed by Robey and You is capable of expressing the internal wave generated by a moving sphere or cylindrical body a satisfied fluid. Unfortunately, this model cannot describe the surface wave because of the rigid lid assumption. In this paper, a modified model is established with linearized governing equations and the free surface condition. This modified model can describe both the internal and surface wave excited by a submerged cylindrical body, and is feasible to arbitrary density profiles. In the investigation, the eigenvalue parameter is first obtained by solving the eigenvalue problem under the boundary condition through Thomson-Haskell method. The eigenvalue parameter is then employed to construct the Green function. The vertical displacement induced by the moving objects is obtained after solving the Green function through Fourier transform in finite or infinite water depth. The results are compared to experimental results and classical theory, respectively. The comparisons show good agreement. The results also show that the waveform consists of multiple wave modes from mode-0 to mode-n. It is also found that mode 0 is associated to the surface wave and the other modes are related to the internal waves.
Subjects
Free surface
Internal wave
Stratified fluid
Theoretical model
DDC Class
600: Technik
620: Ingenieurwissenschaften
More Funding Information
National Natural Science Foundation of China
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