NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
The 60th Japan National Congress for Theoretical and Applied Mechanics
Session ID : OS17-04
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OS17
Geostrophic jet and wake instability in the barotropic system
*Tsubasa KodairaTakuji Waseda
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Abstract
Series of eddies are detected in the lee side of the Izu-islands from the satellite images (Isoguchi et al 2009). There are previous researches focusing on wake instability of the Karman vortex street in a non-rotating frame of reference and on geostrophic vortex street. However, the relationship between geostrophic vortex street and wake instability in a rotating frame of reference has never been considered. To investigate the instability of the wake, we have simulated the barotropic jet passing through an obstacle and executed global linear stability analysis and detected growth rates and frequency, of the eigenmodes. The governing equation is shallow water equation in rotating system with constant eddy viscosity to consider macroscopic features. The non-dimensional parameters are the Reynolds number and F the inverse of the Burger number. The results revealed that by increasing F, the instability is suppressed. This means that the background rotation suppresses the instability.
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© 2011 The Japan Society of Mechanical Engineers
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