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Jun 29, 2018
06/18

by
Jinkai Li; Edriss S. Titi

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This paper is devoted to reviewing several recent developments concerning certain class of geophysical models, including the primitive equations (PEs) of atmospheric and oceanic dynamics and a tropical atmosphere model. The PEs for large-scale oceanic and atmospheric dynamics are derived from the Navier-Stokes equations coupled to the heat convection by adopting the Boussinesq and hydrostatic approximations, while the tropical atmosphere model considered here is a nonlinear interaction system...

Topics: Fluid Dynamics, Atmospheric and Oceanic Physics, Analysis of PDEs, Physics, Mathematics, Geophysics

Source: http://arxiv.org/abs/1604.01695

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Jun 29, 2018
06/18

by
Mohammad Farazmand; Themistoklis P. Sapsis

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We consider the problem of large wave prediction in two-dimensional water waves. Such waves form due to the synergistic effect of dispersive mixing of smaller wave groups and the action of localized nonlinear wave interactions that leads to focusing. Instead of a direct simulation approach, we rely on the decomposition of the wave field into a discrete set of localized wave groups with optimal length scales and amplitudes. Due to the short-term character of the prediction, these wave groups do...

Topics: Mathematics, Computational Physics, Dynamical Systems, Atmospheric and Oceanic Physics, Physics

Source: http://arxiv.org/abs/1610.09558

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1.0

Jun 29, 2018
06/18

by
Mark Handschy; Stephen Rose; Jay Apt

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The variability of wind-generated electricity can be reduced by aggregating the outputs of wind generation plants spread over a large geographic area. In this chapter we utilize Monte Carlo simulations to investigate upper bounds on the degree of achievable smoothing and clarify how the degree of smoothing depends on the number of plants and on the size of the geographic area over which they are spread.

Topics: Statistics, Applications, Atmospheric and Oceanic Physics, Physics

Source: http://arxiv.org/abs/1608.06257

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0.0

Jun 29, 2018
06/18

by
Markus Selmke; Sarah Selmke

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A popular demonstration experiment in optics uses a round-bottom flask filled with water to project a circular rainbow on a screen with a hole through which the flask is illuminated. We show how the vessel's wall shifts the second-order and first-order bows towards each other and consequentially narrows down Alexander's dark band. We address the challenge this introduces in producing Alexander's dark band, and explain the importance of a sufficient distance of the flask to the screen. The...

Topics: Physics Education, Physics, Atmospheric and Oceanic Physics

Source: http://arxiv.org/abs/1612.09563

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Jun 29, 2018
06/18

by
Cihan A. Bayindir

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In this paper we analyze the rogue wave spectra of the Kundu-Eckhaus equation (KEE). We compare our findings with their nonlinear Schrodinger equation (NLSE) analogs and show that the spectra of the individual rogue waves significantly differ from their NLSE analogs. A remarkable difference is the one-sided development of the triangular spectrum before the rogue wave becomes evident in time. Also we show that increasing the skewness of the rogue wave results in increased asymmetry in the...

Topics: Nonlinear Sciences, Fluid Dynamics, Atmospheric and Oceanic Physics, Physics, Pattern Formation and...

Source: http://arxiv.org/abs/1604.08035

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Jun 29, 2018
06/18

by
Cihan Bayindir

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In this paper we study the properties of the chaotic wave fields generated in the frame of the Kundu-Eckhaus equation (KEE). Modulation instability results in a chaotic wave field which exhibits small-scale filaments with a free propagation constant, k. The average velocity of the filaments is approximately given by the average group velocity calculated from the dispersion relation for the plane-wave solution however direction of propagation is controlled by the $\beta$ parameter, the constant...

Topics: Fluid Dynamics, Nonlinear Sciences, Atmospheric and Oceanic Physics, Physics, Chaotic Dynamics,...

Source: http://arxiv.org/abs/1601.00209

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Jun 29, 2018
06/18

by
Erdal Yiğit; Alexander S. Medvedev

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Gravity waves are primarily generated in the lower atmosphere, and can reach thermospheric heights in the course of their propagation. This paper reviews the recent progress in understanding the role of gravity waves in vertical coupling during sudden stratospheric warmings. Modeling of gravity wave effects is briefly reviewed, and the recent developments in the field are presented. Then, the impact of these waves on the general circulation of the upper atmosphere is outlined. Finally, the role...

Topics: Earth and Planetary Astrophysics, Astrophysics, Space Physics, Atmospheric and Oceanic Physics,...

Source: http://arxiv.org/abs/1609.00734