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  Far East Journal of Dynamical Systems  
 ISSN: 0972-1118
 
 
 

     Far East Journal of Dynamical Systems
    Volume 10, Issue 1, Pages 81 - 92 (February 2008)


PREDICTABILITY IN SPECTRAL SHALLOW WATER MODEL

P. Sangapate (Thailand) and D. Sukawat (Thailand)

Received January 19, 2008

References:



[1] E. Aurell et al., Growth of noninfinitesimal perturbations in turbulence, Physical Review Letters 77(7) (1996), 1262-1265.

[2] E. Aurell et al., Predictability in the large: An extension of the concept of Lyapunov exponent, Journal of Physics A 30 (1997), 1-26.

[3] S. Basu et al., Predictability of atmospheric boundary layer flows as a function of scale, Geophysical Research Letters 29 (2002).

[4] G. Boffetta et al., An extension of the Lyapunov analysis for the predictability problem, Journal of the Atmospheric Sciences 55(23) (1998), 3409-3416.

[5] G. Boffetta et al., Predictability: a way to characterize complexity, Physics Reports 356 (2002), 367-474.

[6] CHAMMP, Spectral Transform Shallow Water Model, http://www.csm.ornl.gov/chammp.html/.

[7] A. Crisanti et al., Intermittency and predictability in turbulence, Physical Review Letters 70 (1993), 166-169.

[8] W. Kinsner, Characterizing Chaos through Lyapunov Metrics, University of Manitoba, Canada, 2003.

[9] G. Lacoratal et al., Drifter dispersion in the Adriatic Sea: Lagrangian data and chaotic model, Journal of the Annales Geophysicae (2001), 121-129.

[10] C. Leith et al., Predictability of turbulence flows, Journal of the Atmospheric Sciences 29 (1972), 1041-1058.

[11] J. Liu et al., Chaotic phenomenon and the maximum predictable time scale of observation series of urban hourly water consumption, Journal of Zhejiang University Science (2004), 1053-1059.

[12] T. Shibata et al., Collective Chaos, Physical Review Letters 81(19) (1998).

[13] J. Tribbia, An Introduction to Three-Dimensional Climate Modeling, Oxford University, New York, 1992, pp. 325-356.

[14] D. L. Williamson et al., A standard test set for numerical approximations to the shallow water equations in spherical geometry, Journal of Computational Physics 102 (1992), 1-37.

Keywords and phrases: spectral method, shallow water model, Lyapunov exponent, predictability time.

 


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