Numerical simulation of internal wave propagation over a variable topography

1st International Conference on Maritime Sciences and Advanced Technology "Ocean Science and Technology Toward a Global Maritime Axis"

Yasmin, R.K.^1 ; Pudjaprasetya, S.R.^1

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung

40132, Indonesia^1

关键词: Boussinesq model;    Interfacial waves;    Long wavelength;    Nonlinear terms;    Numerical scheme;    Small amplitude;    Two-layer fluid systems;    Variable bathymetry;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/162/1/012012/pdf
DOI  :  10.1088/1755-1315/162/1/012012

来源: IOP

【 摘 要 】

The Boussinesq-type of equation is considered here as a model for describing interfacial wave dynamics in a two-layer fluid system. The equation, which is derived under rigid-lid assumption, has first order nonlinear term and dispersion term, and it holds for interfacial wave with long wavelength and small amplitude, relative to depth. The second-order Mac-Cormack scheme is implemented to solve this Boussinesq model. The numerical scheme is validated by simulating solitary wave as well as monotonic bore. Finally, the evolution of solitary wave propagating over a variable bathymetry with a shelf is examined.