3 edition of Nonlinear wave vacillation in the atmosphere found in the catalog.
Nonlinear wave vacillation in the atmosphere
by [National Aeronautics and Space Administration, National Technical Information Service, distributor in Washington, DC, Springfield, Va
Written in English
|Statement||submitted to Atmospheric Dynamics and Radiation Branch, NASA Headquarters ; prepared by Basil N. Antar|
|Series||NASA contractor report -- NASA CR-179985|
|Contributions||United States. National Aeronautics and Space Administration. Atmospheric Dynamics and Radiation Branch|
|The Physical Object|
We study an initial-boundary value problem for a fractional wave equation of time distributed-order with a nonlinear source term. The coefficients of the second order differential operator are dependent on the spatial and time variables. We show the existence of a unique weak solution to the problem under low regularity assumptions on the data, which includes weakly singular . This book has been cited by the following publications. It includes significant new material on the atmosphere and on the ocean, presented in two separate later sections of the book, but building carefully and clearly on the ‘unified’ material in the first part of the book. The nonlinear equatorial Kelvin wave. J. Phys. Oceanogr.
Nonlinear optics (NLO) is the branch of optics that describes the behaviour of light in nonlinear media, that is, media in which the polarization density P responds non-linearly to the electric field E of the light. The non-linearity is typically observed only at very high light intensities (values of atomic electric fields, typically 10 8 V/m) such as those provided by lasers. Nonlinear dispersive wave equations provide excellent examples of infinite dimensional dynamical systems which possess diverse and fascinating phenomena including solitary waves and wave trains, the generation and propagation of oscillations, the formation of singularities, the persistence of homoclinic orbits, the existence of temporally chaotic waves in deterministic .
Properties of 2-D S Conceptual mechanical behav Dimensional analysis of 2-D S Basic mathematics for systems of first-order quasilinear hyperbolic equati Geometric theory of characterist Riemann invaria Theory of nonlinear wave propagation , 3. () studied the relationship between zonal-ﬂow vacillation and wave breaking patterns of baroclinic eddies using an idealized model. They found bimodality in a histogram of the so-called LC index, an empirical measure of the typical latitude of wave breaking that is associated with the zonal-ﬂow vacillation.
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Nonlinear wave vacillation in the atmosphere: anual [sic] status report for the period January 1, to Decem Author: Basil N Antar ; United States.
Nonlinear wave vacillation in the atmosphere. By Basil N. Antar. Abstract. The problem of vacillation in a baroclinically unstable flow field is studied through the time evolution of a single nonlinearly unstable wave. To this end a computer code is being developed to solve numerically for the time evolution of the amplitude of such a : Basil N.
Antar. Nonlinear wave vacillation in the atmosphere - NASA/ADS The problem of vacillation in a baroclinically unstable flow field is studied through the time evolution of a single nonlinearly unstable wave.
To this end a computer code is being developed to solve numerically for the time evolution of the amplitude of such a : Basil N. Antar. The investigation of nonlinear phenomena in acoustics has a rich history stretching back to the mechanical physical sciences in the nineteenth century.
The study of nonlinear phenomena, such as explosions and jet engines, prompted the sharp growth of interest in nonlinear acoustic phenomena. In this book, the authors consider models of different "acoustic" media as well as. Using an idealized model, the nonlinear oscillation of an air parcel is investigated next.
The nonlinear dispersion relation for the internal gravity wave in a Boussinesq fluid is derived and stability of the wave trains will be discussed. Resonant wave‐wave interaction of acoustic‐gravity waves is studied with the emphasis on wave : C.
Liu. Abstract. In this chapter we further study the evolution of wave packet discussed in Chapter 3. In order to illustrate the global behavior of the evolution of the wave packet, we employ phase space and phase space diagrams The phase space considered here is the space consisting of local wave numbers.
Abstract This paper investigate the equilibration of finite amplitude waves in a forced, dissipative, high resolution, barotropic beta-plane model. The external forcing is prescribed in the form of.
A typical amplitude vacillation is the vacillation of wave potential energy with time, via interference of nonlinear barotropic and baroclinic patterns of the lowest y-mode of the wave.
The transition from amplitude vacillation to structural vacillation is due to both the baroclinic instability of the vacillating, sin(pi)y-wavy flow with respect to a sin2(pi)y -perturbation and the nonlinear.
Previous studies have suggested that these complex flows may occur from nonlinear wave-wave interactions, including interference vacillations, sideband effects or resonant triad interaction, e.g. It follows that p also satisﬁes the wave equation.
The nonlinear equations of gas dynamics will be discussed in Chapter 4. We have assumed that the waves are even in x ct. To ﬁnd the most general form of the wave we also have to include terms of.
Nonlinear Acoustics: Theory and Applications is an introductory text on the theory and applications of nonlinear acoustics. This book develops the theory on nonlinear acoustics from physical principles.
The first half of the book develops the physical concepts, mathematical models, and classical methods of solution that form the theoretical framework of nonlinear Reviews: 5.
Three-dimensional nonlinear breaking acoustic-gravity waves (AGWs) propagating from the Earth's surface to the upper atmosphere are simulated numerically. Horizontally moving periodical structures of vertical velocity on the Earth's surface are used as AGW sources in the model.
The 3D algorithm for hydrodynamic equation solution uses finite-difference analogues. Simon P. Neill, M. Reza Hashemi, in Fundamentals of Ocean Renewable Energy, Nonlinear Wave-Wave Interactions. Nonlinear wave-wave interactions redistribute wave energy over the spectrum, due to an exchange of energy resulting from resonant sets of wave are two processes that are important for the inclusion of nonlinear wave-wave interactions in wave models: four-wave.
the nonlinear governing equations are reduced to linear differential •More generally, in a baroclinic atmosphere, the Rossby wave is a ESS Prof.
Jin-Yi Yu gy, p, potential vorticity-conserving motion that owes its existence to the isentropic gradient of potential vorticity. Using a nonlinear global primitive equation model, spontaneous inertia‐gravity wave (IGW) emission is investigated in an idealized representation of the stratospheric polar night.
It is shown that IGWs are spontaneously emitted in the interior of the fluid in a jet exit region that develops around a nonlinear Rossby wave critical layer. A fairly complete weakly nonlinear theory of amplitude vacillation on the two-layer f-plane has been developed by [Pedlosky (,)] using asymptotic expansions near the neutral curve for a single unstable wave.
Pedlosky suggested that vacillation may be understood through the long-time evolution of a nonlinearly unstable baroclinic wave. The book discusses digital Fourier transforms (FT), FT-based operations, multiple methods of wave-optics simulations, sampling requirements, and simulations in atmospheric turbulence.
This book will benefit optical scientists and engineers at all levels as a guide for FT-based data analysis, imaging system analysis, and wave-optics simulations. Nonlinear life-cycle simulations are conducted to demonstrate that each extreme phase of the zonal flow vacillation is a quasi stable state and is self-maintained by the embedded synoptic eddies.
The firm EOF mode of zonal-mean wind shows an out of phase relation between anomalies at 60°S and at 40°S with a barotropic structure. intense with the waves included (typically seen in a hemisphere) allowing wave-wave nonlinear interaction. Fig 1 (Fleming ) indicates two solutions in the above model, vacillation and chaos respectively, where X(1) represents the mean horizontal temperature gradient and X(2) represents the net poleward heat transport.
The. In a typical amplitude vacillation, the wave potential energy vacillates with time, via the interference of nonlinear barotropic and baroclinic patterns of the lowest meridional mode of the wave. Atmospheric gravity waves similar to waves that occur on the surface of a body of water have been known since the nineteenth century, but their significance for the study of atmospheric dynamics.The effects of solar activity on the geopotential height and temperature fields of the 50‐, 30‐ and 10‐mbar surface, resolved into zonal harmonic components, were investigated.
This was done by means of cross‐spectral analysis between the ‐cm radiation of the sun and planetary waves up to zonal wave number 3.Interactions Between Nonlinear Internal Ocean Waves and the Atmosphere David G. Ortiz-Suslow 1, Qing Wang, John Kalogiros1,2, Ryan Yamaguchi, Tony de Paolo 3, Eric Terrill, R.
Kipp Shearman4, Pat Welch4, and Ivan Savelyev5 1Department of Meteorology, Naval Postgraduate School, Monterey, CA, USA, 2National Observatory of Athens, Athens, Greece.