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Symmetric stability of rotation and boussinesq fluid in bounded domain by using normal mode method

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Abstract

The stability properties of the equilibria with constant wind shear (both in vertical and horizontal direction) and the non-constant static stability in bounded, inviscid and adiabatic atmosphere were investigated by using normal mode method. The results show that the stability property is determined by Richardson number Ri as well as the absolute vorticity. When the absolute vorticityF is positive, i.e.F > 0, (whereF = f+ −v x ) the sufficient condition for symmetric stability isR i , > f / F and whenF < 0, the equilibria are unstable for all possible normal mode disturbances. In addition, the most unstable growth rate was also obtained here.

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References

  • Fjϕrtoft,. R. (1944). On the frontogenesis and cyclogenesis in the atmosphere Part I, On the stability of the stationary circular vortex,Geophys. Pulb.,16: No.5, 28 pp.

    Google Scholar 

  • Fjϕrtoft, R. (19S0), Application of integral theorems in deriving criteria of stability for laminar flows and for baroclinic circular vortex(ieophys Publ.,17: 6,52 pp.

    Google Scholar 

  • Heimholte H. Von. (1888), Ubor utmospharishc Bewegungen.Meteor, Z. 5: 329–340.

    Google Scholar 

  • Hoskins, B. J. (1974), The role of potential vorticity in symmetric stability and instability,Quart. J. R. Met. Soc,100: 480–482.

    Article  Google Scholar 

  • Ooyama, K. (1966), On the stability of baroclinic circular vortex: a sufficient criterion for instability,J. Atmos. Sci.,23: 43–53.

    Article  Google Scholar 

  • Pedlosky, J. (1979),Geophysical Fluid Dynamics, Springer, 624 pp.

  • Stone, P. H. (1966), On non-geostrophic baroclinic stability,J. Atmos Sci.,23: 390–400.

    Article  Google Scholar 

  • Zhang Kesu (1988), Stability of mesoscale baroclinic flows, Part I. Symmetric stability,J. Meteor.,46: 3, 258–266 (in Chinese).

    Google Scholar 

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  1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, P. O. Box 2718, 100080, Beijing

    Ren Shuzhan

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  1. Ren Shuzhan
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Shuzhan, R. Symmetric stability of rotation and boussinesq fluid in bounded domain by using normal mode method. Adv. Atmos. Sci. 11, 291–295 (1994). https://doi.org/10.1007/BF02658148

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  • DOI: https://doi.org/10.1007/BF02658148

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