Articles | Volume 5, issue 3
https://doi.org/10.5194/wcd-5-997-2024
https://doi.org/10.5194/wcd-5-997-2024
Research article
 | 
06 Aug 2024
Research article |  | 06 Aug 2024

A linear assessment of barotropic Rossby wave propagation in different background flow configurations

Antonio Segalini, Jacopo Riboldi, Volkmar Wirth, and Gabriele Messori

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Cited articles

Ambrizzi, T., Hoskins, B. J., and Hsu, H.-H.: Rossby Wave Propagation and Teleconnection Patterns in the Austral Winter, J. Atmos. Sci., 52, 3661–3672, https://doi.org/10.1175/1520-0469(1995)052<3661:RWPATP>2.0.CO;2, 1995. a
Baldauf, M. and Brdar, S.: An analytic solution for linear gravity waves in a channel as a test for numerical models using the non-hydrostatic, compressible Euler equations, Q. J. Roy. Meteor. Soc., 139, 1977–1989, https://doi.org/10.1002/qj.2105, 2013. a
Bayliss, A., Class, A., and Matkowsky, B. J.: Roundoff error in computing derivatives using the Chebyshev differentiation matrix, J. Comput. Phys., 116, 380–383, 1995. a
Boyd, J. P.: The Effects of Latitudinal Shear on Equatorial Waves. Past I: Theory and Methods, J. Atmos. Sci., 35, 2236–2258, https://doi.org/10.1175/1520-0469(1978)035<2236:TEOLSO>2.0.CO;2, 1978. a
Branstator, G.: Circumglobal teleconnections, the jet stream Waveguide, and the North Atlantic Oscillation, J. Climate, 15, 1893–1910, https://doi.org/10.1175/1520-0442(2002)015<1893:CTTJSW>2.0.CO;2, 2002. a
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Short summary
Planetary Rossby waves are created by topography and evolve in time. In this work, an analytical solution of this classical problem is proposed under the approximation of linear wave dynamics. The theory is able to describe reasonably well the evolution of the perturbation and compares well with full nonlinear simulations. Several relevant cases with single and double zonal jets are assessed with the theoretical framework
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