Three-dimensional global scale permanent-wave solutions of the nonlinear quasigeostrophic potential vorticity equation and energy dispersion

1995 ◽  
Vol 12 (4) ◽  
pp. 387-404 ◽  
Author(s):  
H. L. Kuo
Keyword(s):  
Potential Vorticity ◽  
Three Dimensional ◽  
Global Scale ◽  
Vorticity Equation ◽  
Energy Dispersion ◽  
Wave Solutions ◽  
Permanent Wave

On non-dissipative wave–mean interactions in the atmosphere or oceans

1998 ◽  
Vol 354 ◽  
pp. 301-343 ◽  
Author(s):  
OLIVER BÜHLER ◽  
MICHAEL E. McINTYRE
Keyword(s):  
Shallow Water ◽  
Gravity Waves ◽  
Potential Vorticity ◽  
Three Dimensional ◽  
Global Scale ◽  
Finite Amplitude ◽  
The Body ◽  
Mean Flow ◽  
Boussinesq Model ◽  
Flow Changes

Idealized model examples of non-dissipative wave–mean interactions, using small-amplitude and slow-modulation approximations, are studied in order to re-examine the usual assumption that the only important interactions are dissipative. The results clarify and extend the body of wave–mean interaction theory on which our present understanding of, for instance, the global-scale atmospheric circulation depends (e.g. Holton et al. 1995). The waves considered are either gravity or inertia–gravity waves. The mean flows need not be zonally symmetric, but are approximately ‘balanced’ in a sense that non-trivially generalizes the standard concepts of geostrophic or higher-order balance at low Froude and/or Rossby number. Among the examples studied are cases in which irreversible mean-flow changes, capable of persisting after the gravity waves have propagated out of the domain of interest, take place without any need for wave dissipation. The irreversible mean-flow changes can be substantial in certain circumstances, such as Rossby-wave resonance, in which potential-vorticity contours are advected cumulatively. The examples studied in detail use shallow-water systems, but also provide a basis for generalizations to more realistic, stratified flow models. Independent checks on the analytical shallow-water results are obtained by using a different method based on particle-following averages in the sense of ‘generalized Lagrangian-mean theory’, and by verifying the theoretical predictions with nonlinear numerical simulations. The Lagrangian-mean method is seen to generalize easily to the three-dimensional stratified Boussinesq model, and to allow a partial generalization of the results to finite amplitude. This includes a finite-amplitude mean potential-vorticity theorem with a larger range of validity than had been hitherto recognized.

scholarly journals Dynamical and Physical Processes Leading to Tropical Cyclone Intensification under Upper-Level Trough Forcing

2013 ◽  
Vol 70 (8) ◽  
pp. 2547-2565 ◽  
Author(s):  
Marie-Dominique Leroux ◽  
Matthieu Plu ◽  
David Barbary ◽  
Frank Roux ◽  
Philippe Arbogast
Keyword(s):  
Angular Momentum ◽  
Tropical Cyclone ◽  
Potential Vorticity ◽  
Weather Prediction ◽  
Three Dimensional ◽  
Vertical Wind Shear ◽  
Thick Layer ◽  
Limited Area ◽  
Southwest Indian Ocean ◽  
Upper Level

Abstract The rapid intensification of Tropical Cyclone (TC) Dora (2007, southwest Indian Ocean) under upper-level trough forcing is investigated. TC–trough interaction is simulated using a limited-area operational numerical weather prediction model. The interaction between the storm and the trough involves a coupled evolution of vertical wind shear and binary vortex interaction in the horizontal and vertical dimensions. The three-dimensional potential vorticity structure associated with the trough undergoes strong deformation as it approaches the storm. Potential vorticity (PV) is advected toward the tropical cyclone core over a thick layer from 200 to 500 hPa while the TC upper-level flow turns cyclonic from the continuous import of angular momentum. It is found that vortex intensification first occurs inside the eyewall and results from PV superposition in the thick aforementioned layer. The main pathway to further storm intensification is associated with secondary eyewall formation triggered by external forcing. Eddy angular momentum convergence and eddy PV fluxes are responsible for spinning up an outer eyewall over the entire troposphere, while spindown is observed within the primary eyewall. The 8-km-resolution model is able to reproduce the main features of the eyewall replacement cycle observed for TC Dora. The outer eyewall intensifies further through mean vertical advection under dynamically forced upward motion. The processes are illustrated and quantified using various diagnostics.

scholarly journals Analysis of a rapid increase of stratospheric ozone during late austral summer 2008 over Kerguelen (49.4° S, 70.3° E)

2011 ◽  
Vol 11 (1) ◽  
pp. 363-373 ◽  
Author(s):  
H. Bencherif ◽  
L. El Amraoui ◽  
G. Kirgis ◽  
J. Leclair De Bellevue ◽  
A. Hauchecorne ◽  
...  
Keyword(s):  
Potential Vorticity ◽  
Large Scale ◽  
Lower Stratosphere ◽  
Transport Model ◽  
Stratospheric Ozone ◽  
Three Dimensional ◽  
Austral Summer ◽  
Air Masses ◽  
Global Mapping ◽  
The Tropics

Abstract. This paper reports on an increase of ozone event observed over Kerguelen (49.4° S, 70.3° E) in relationship with large-scale isentropic transport. This is evidenced by ground-based observations (co-localised radiosonde and SAOZ experiments) together with satellite global observations (Aura/MLS) assimilated into MOCAGE, a Méteo-France model. The study is based on the analyses of the first ozonesonde experiment never recorded at the Kerguelen site within the framework of a French campaign called ROCK that took place from April to August 2008. Comparisons and interpretations of the observed event are supported by co-localised SAOZ observations, by global mapping of tracers (O3, N2O and columns of O3) from Aura/MLS and Aura/OMI experiments, and by model simulations of Ertel Potential Vorticity initialised by the ECMWF (European Centre for Medium-Range Weather Forecasts) data reanalyses. Satellite and ground-based observational data revealed a consistent increase of ozone in the local stratosphere by mid-April 2008. Additionally, Ozone (O3) and nitrous oxide (N2O) profiles obtained during January–May 2008 using the Microwave Limb Sounder (MLS) aboard the Aura satellite are assimilated into MOCAGE (MOdèle de Chimie Atmosphérique à Grande Echelle), a global three-dimensional chemistry transport model of Météo-France. The assimilated total O3 values are consistent with SAOZ ground observations (within ±5%), and isentropic distributions of O3 match well with maps of advected potential vorticity (APV) derived from the MIMOSA model, a high-resolution advection transport model, and from the ECMWF reanalysis. The event studied seems to be related to the isentropic transport of air masses that took place simultaneously in the lower- and middle-stratosphere, respectively from the polar region and from the tropics to the mid-latitudes. In fact, the ozone increase observed by mid April 2008 resulted simultaneously: (1) from an equator-ward departure of polar air masses characterised with a high-ozone layer in the lower stratosphere (near the 475 K isentropic level), and (2) from a reverse isentropic transport from the tropics to mid- and high-latitudes in the upper stratosphere (nearby the 700 K level). The increase of ozone observed over Kerguelen from the 16-April ozonesonde profile is thus attributed to a concomitant isentropic transport of ozone in two stratospheric layers: the tropical air moving southward and reaching over Kerguelen in the upper stratosphere, and the polar air passing over the same area but in the lower stratosphere.

scholarly journals Mapping perception of consumer antivirus software with multidimensional scaling method

2020 ◽  
Vol 4 (3) ◽  
pp. 91-95
Author(s):  
Ai Nurhayati ◽  
Frencius .
Keyword(s):  
Free Trade ◽  
Software Industry ◽  
Three Dimensional ◽  
Global Scale ◽  
Scaling Method ◽  
Know How ◽  
Antivirus Software ◽  
The World ◽  
Spss Software ◽  
Program Version

Antivirus software industry is growing rapidly in the world in 2018. The domestic antivirus software industrymust be able to compete on a global scale. To face free trade, Indonesia's antivirus software industry must be able toknow its position in the minds of consumers, especially domestic consumers. In this research, Smadav will representthe antivirus software industry from Indonesia. In this research want to know how the position of smadav comparedwith its current competitors, namely Avast, Avira, AVG, Kaspersky, McAfee and Norton. This research is only done tomap antivirus software based on similarity according to respondent's perception. This research uses Multidimensionalscaling (MDS) method through SPSS software program version 23. The results showed that there are three groups ofdifferent antivirus software based on similarity level according to the respondent's perception. On the two-dimensionaland three-dimensional maps Norton antivirus software, Avast and Avira have similar resemblance according to therespondent's perception, because the location is closest and is in the same quadrant. Smadav differs according toperceptions of respondents. AVG, McAfee and Kaspersky have similarities according to respondents' perceptions.

scholarly journals Mapping Perception of Consumer Antivirus Software with Multidimensional Scaling Method

2019 ◽  
Vol 4 (3) ◽  
pp. 91-95
Author(s):  
Ai Nurhayati ◽  
Frencius Frencius
Keyword(s):  
Multidimensional Scaling ◽  
Software Industry ◽  
Three Dimensional ◽  
Global Scale ◽  
Scaling Method ◽  
Know How ◽  
Antivirus Software ◽  
The World ◽  
Spss Software ◽  
Program Version

Antivirus software industry is growing rapidly in the world in 2018. The domestic antivirus software industry must be able to compete on a global scale. To face free trade, Indonesia's antivirus software industry must be able to know its position in the minds of consumers, especially domestic consumers. In this research, Smadav will represent the antivirus software industry from Indonesia.In this research want to know how the position of smadav compared with its current competitors, namely Avast, Avira, AVG, Kaspersky, McAfee and Norton. This research is only done to map antivirus software based on similarity according to respondent's perception.This research uses Multidimensional scaling (MDS) method through SPSS software program version 23. The results showed that there are three groups of different antivirus software based on similarity level according to the respondent's perception.On the two-dimensional and three-dimensional maps Norton antivirus software, Avast and Avira have similar resemblance according to the respondent's perception, because the location is closest and is in the same quadrant. Smadav differs according to perceptions of respondents. AVG, McAfee and Kaspersky have similarities according to respondents' perceptions.

scholarly journals Three-dimensional geomagnetic response functions for global and semi-global scale induction problems

2009 ◽  
Vol 178 (1) ◽  
pp. 123-144 ◽  
Author(s):  
Hisayoshi Shimizu ◽  
Takao Koyama ◽  
Kiyoshi Baba ◽  
Hisashi Utada
Keyword(s):  
Three Dimensional ◽  
Global Scale ◽  
Response Functions

Multiple rogue and soliton wave solutions to the generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation arising in fluid mechanics and plasma physics

2021 ◽  
pp. 2150383
Author(s):  
Onur Alp Ilhan ◽  
Sadiq Taha Abdulazeez ◽  
Jalil Manafian ◽  
Hooshmand Azizi ◽  
Subhiya M. Zeynalli
Keyword(s):  
Rogue Wave ◽  
Three Dimensional ◽  
Soliton Solutions ◽  
The Novel ◽  
Algebraic Equations ◽  
Bilinear Method ◽  
Dynamical Characteristics ◽  
Wave Solutions ◽  
Multiple Soliton Solutions ◽  
Soliton Wave Solutions

Under investigation in this paper is the generalized Konopelchenko–Dubrovsky–Kaup-Kupershmidt equation. Based on bilinear method, the multiple rogue wave (RW) solutions and the novel multiple soliton solutions are constructed by giving some specific activation functions for the considered model. By means of symbolic computation, these analytical solutions and corresponding rogue wave solutions are obtained via Maple 18 software. The exact lump and RW solutions, by solving the under-determined nonlinear system of algebraic equations for the specified parameters, will be constructed. Via various three-dimensional plots and density plots, dynamical characteristics of these waves are exhibited.

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