Nonlinear internal waves over variable topography
作者:
Stefan Diebels,
Bernd Schuster,
Kolumban Hutter,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1994)
卷期:
Volume 76,
issue 1-4
页码: 165-192
ISSN:0309-1929
年代: 1994
DOI:10.1080/03091929408203664
出版商: Taylor & Francis Group
关键词: Internal waves;two-layer fluid;nonlinearity;variable topography
数据来源: Taylor
摘要:
A nonlinear two-layered fluid system on a variable bottom with freely moving upper surface and abrupt density change at the interface is considered. The two stably stratified layers with constant densities are assumed to be immiscible. Starting from the continuity and the mometum equations of an incompressible inviscid fluid for each layer and associated boundary and transition conditions at the free upper surface, the interface and the bottom surface, vertically averaged equations are deduced that incorporate nonlinear advection and dispersion. The approximate equations are deduced by scaling the governing equations accordingly and by using a limit analysis for small aspect ratios (shallowness) and small amplitude disturbances. The limiting equations extend known model equations and include finite amplitude nonlinearities, dispersion and variable topography. In a second step viscous effects and wind forcing are also incorporated.
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