The structure of the internal wave Mach front generated by a point source moving in a stratified fluid
作者:
Ernest P. Gray,
Robert W. Hart,
Richard A. Farrell,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1983)
卷期:
Volume 26,
issue 10
页码: 2919-2931
ISSN:0031-9171
年代: 1983
DOI:10.1063/1.864057
出版商: AIP
数据来源: AIP
摘要:
The height and velocity of an internal wave (IW) generated by a point fluid source moving horizontally in a stratified fluid is calculated at asymptotically large distances behind the source, in linear approximation. Particular emphasis is given to the region near the Mach front, defined by the off‐track angle &thgr;M=sin−1(cM/V), wherecMis the speed of the fastest IW andVis the source velocity. To elucidate the asymptotic IW profile in that regime, a novel uniform asymptotic expansion is developed which is valid on both sides of the Mach front. It is found that, for the fluid model employed, the asymptotic approximation for the IW height, as well as for all its derivatives, is continuous at that front, and that all these IW profiles are remarkably smooth and slowly varying functions of off‐track distance in that regime.
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