Abstract
A new linear model for the sea breeze circulation that includes Coriolis effect, crucial for the tropical region, and a non-zero background wind speed is derived from the mesoscale equations. Earlier studies of Rotunno (J Atmos Sci 40(8):1999–2009, 1983) and Qian et al. (J Atmos Sci 66(6):1749, 2009) considered these effects separately. These two models can be obtained as special cases from the proposed model. The basic set of equations are first non-dimensionalised and the solutions to this new system are obtained using Fourier transform followed by a judicious application of the Sommerfeld radiation condition. Unlike in earlier studies on this topic, solution for the wind velocity along the coast line is also obtained and is shown to vanish in the absence of the Coriolis effect. These solutions are then changed to their respective dimensional form to obtain the solutions for the proposed model. Boundedness of these solutions are established theoretically, something not pursued so far in the literature of sea breeze equations. These solutions are then studied quantitatively as functions of three physical parameters, viz. latitude, coastal width and the background wind speed.
Similar content being viewed by others
References
Evans, L.C.: Partial Differential Equations. Graduate Studies in Mathematics, vol. 19, p. 183. AMS, Providence (1998)
Halley, E.: An historical account of the trade winds, and monsoons, observable in the seas between and near the tropics, with an attempt to assign physical cause of said winds. Philos. Trans. R. Soc. Lond. 16, 153–168 (1686)
Haurwitz, B.: Comments in the sea-breeze circulation. J. Meteorol. 4, 1–8 (1947)
Lin, Y.L.: Mesoscale Dynamics, pp. 43–48. Cambridge University Press, London (2007)
Miller, S.T.K., Keim, B.D., Talbot, R.W., Mao, H.: Sea breeze: structure, forecasting and impacts. Rev. Geophys. 41(3), 1011 (2003). doi:10.1029/2003RG000124
Qian, T., Epifanio, C.C., Zhang, F.: Linear theory calculations for the sea breeze in a background wind: the equatorial case. J. Atmos. Sci. 66(6), 1749 (2009)
Rotunno, R.: On the linear theory of the land and sea breeze. J. Atmos. Sci. 40(8), 1999–2009 (1983)
Schmidt, F.H.: An elementary theory on land and sea-breeze circulation. J. Meteorol. 4, 9–15 (1947)
Simpson, J.E.: Sea breeze and local winds. Cambridge University Press, London (1995)
Srinivas, C.V., Bagavath Singh, A., Venkatesan, R., Baskaran, R.: Creation of benchmark meteorological observations for RRE on atmospheric flow field simulation at Kalpakkam. IGC Report 313, Indira Gandhi Centre for Atomic Research, Kalpakkam (2011)
Sun, W.Y., Orlanski, I.: Large scale convection and sea breeze circulation. Part I: stability analysis. J. Atmos. Sci. 38, 1675–1693 (1981)
Acknowledgments
This work has been done under the RRE project “Atmospheric flow field modelling and validation at Kalpakkam” sponsored by BRNS through IGCAR, Kalpakkam.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Das Gupta, A.J., Vasudeva Murthy, A.S., Nanjundiah, R.S. et al. A linear model for the sea breeze circulation relevant for the tropical regions. Int J Geomath 4, 97–135 (2013). https://doi.org/10.1007/s13137-013-0047-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13137-013-0047-8
Keywords
- Sea breeze
- Linear theory of sea breeze
- Background wind
- Coriolis force
- Coriolis parameter
- Mesoscale
- Tropical case