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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Tangential limits of inner functions and functions orthogonal to invariant subspaces

Protas, David Sydney, January 1970 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1970. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.
2

An examination of zonal mean geopotential variability

Bruce, Leslie Mitchell 09 September 2011 (has links)
A systematic sectoral empirical orthogonal function (EOF) analysis of Southern Hemisphere (SH) extratropical tropospheric zonal-mean geopotential height (GH) is conducted in order to determine how EOF shapes and shape ordering is affected by a decrease in the width of the sector. Previous work (Kushner and Lee 2007) using surface pressure found that the two lead EOFs exchange shape as the sector width decreases below seventy degrees. In the present work, the 500hPa GH field is found to exhibit a similar feature. By fitting a idealized kinematic model, in the form of a Gaussian error function, to daily 500 hPa GH for each sector, the kinematic features of the shape reordering observed in the lead EOFs is shown to arise from the covariance structure of the fluctuating model parameters. The correlations between model parameters which are shown to influence the EOF shapes are further shown to be strongly influenced by statistical properties of daily mass and angular momentum fluctuations. / Graduate
3

Assessing GCM performance for use in greenhouse gas forced climate change predictions using multivariate empirical orthogonal functions

Picton, Jeffrey 26 November 2012 (has links)
Due to factors such as spatial discretization and the parameterization of certain processes, the presence of bias in models of the Earth's atmosphere is unavoidable. Whether we are selecting a model to explain past phenomenon, forecast weather patterns, or make inferences about the future, the target of any selection process is to minimize the discrepancies between model output and observations. Some discrepancies have a greater effect on the scatter of model predictions though. We exemplify this in the case of CO2 forced warming using multivariate empirical orthogonal functions (EOF), created using an ensemble of plausible parameter configurations of CAM3.1. When subjecting this ensemble to a doubling of atmospheric CO2, some EOFs exhibit significantly higher correlation than others with the resulting increase in mean global surface temperature. Therefore, there are discernible bias patterns that effect its predictive scatter. By targeting these patterns in the model evaluation process, it is plausible to use this information to constrain the resulting range of predictions. We take a first step towards showing this by creating a metric to evaluate model skill based on these EOFs and their correlation to a model's sensitivity to CO2 forcing. Using model output, for which we know the resulting temperature increase, as a surrogate for observations in this metric, the resulting distribution of skill scores indeed agreement in sensitivity to CO2 forcing. / text
4

Objective Climatological Analysis of Extreme Weather Events in Arizona during the North American Monsoon

Mazon, Jeremy J., Castro, Christopher L., Adams, David K., Chang, Hsin-I, Carrillo, Carlos M., Brost, John J. 11 1900 (has links)
Almost one-half of the annual precipitation in the southwestern United States occurs during the North American monsoon (NAM). Given favorable synoptic-scale conditions, organized monsoon thunderstorms may affect relatively large geographic areas. Through an objective analysis of atmospheric reanalysis and observational data, the dominant synoptic patterns associated with NAM extreme events are determined for the period from 1993 to 2010. Thermodynamically favorable extreme-weather-event days are selected on the basis of atmospheric instability and precipitable water vapor from Tucson, Arizona, rawinsonde data. The atmospheric circulation patterns at 500 hPa associated with the extreme events are objectively characterized using principal component analysis. The first two dominant modes of 500-hPa geopotential-height anomalies of the severe-weather-event days correspond to type-I and type-II severe-weather-event patterns previously subjectively identified by Maddox et al. These patterns reflect a positioning of the monsoon ridge to the north and east or north and west, respectively, from its position in the "Four Corners" region during the period of the climatological maximum of monsoon precipitation from mid-July to mid-August. An hourly radar gauge precipitation product shows evidence of organized, westward-propagating convection in Arizona during the type-I and type-II severe weather events. This new methodological approach for objectively identifying severe weather events may be easily adapted to inform operational forecasting or analysis of gridded climate data.
5

Simulation of nonlinear internal wave based on two-layer fluid model

Wu, Chung-lin 25 August 2011 (has links)
The main topic of this research is the simulation of internal wave interaction by a two-dimensional numerical model developed by Lynett & Liu (2002) of Cornell University, then modified by Cheng et al. (2005). The governing equation includes two-dimensional momentum and continuity equation. The model uses constant upper and lower layer densities; hence, these factors as well as the upper layer thickness. Should be determined before the simulation. This study discusses the interface depth and the density according to the buoyancy frequency distribution, the EOF, and the eigen-value based on the measured density profile. Besides, a method based on the two-layer KdV equation and the KdV of continuously-stratified fluid. By minimize the difference of linear celeriy, nonlinear and dispersion terms, the upper layer thicknes can also be determined. However, the interface will be much deeper than the depth of max temperature drop in the KdV method if the total water depth is bigger than 500 meters. Thus, the idealization buoyancy frequency formula proposed by Vlasenko et al. (2005) or Xie et al. (2010) are used to modify the buoyancy frequency. The internal wave in the Luzon Strait and the South China Sea are famous and deserves detailed study. We use the KdV method to find the parameters in the two fluid model to speed up the simulation of internal wave phenomena found in the satellite image.
6

Analise harmonica na esfera unitaria d-dimensional real / Harmonic analysis on the unit d-dimensional real sphere

Oliveira, Fernanda Moura de 29 August 2005 (has links)
Orientadores: Sergio Antonio Tozoni, Alexander Kushpel / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica / Made available in DSpace on 2018-08-04T21:23:04Z (GMT). No. of bitstreams: 1 Oliveira_FernandaMourade_M.pdf: 1054228 bytes, checksum: 75fe14a8c8e718328bbee826a80d14ae (MD5) Previous issue date: 2005 / Resumo: O objetivo da dissertação e desenvolver um texto em português sobre Análise Harmônica na esfera d-dimensional real e aplicar os resultados deste texto no estudo de um teorema de multiplicadores. Nos dois primeiros capítulos e realizado um estudo sobre funções harmônicas em um domínio do espaço euclidiano Rd+1, harmônicos esféricos, representações de SO(d+1), harmônicos zonais, polinômios ultraesféricos e sobre o operador de Laplace Beltrami para a esfera. Finalmente, no terceiro capítulo é estudado um teorema de multiplicadores recente, o qual fornece condições suficientes para que um operador multiplicador seja limitado de Lp(Sd) em Lq(Sd), para quaisquer p e q, 1=p, q=8. Como aplicação deste teorema são obtidas estimativas superiores para n-larguras de Kolmogorov de classes de Sobolev nos espaços Lq(Sd), 1=p, q= 8, g > 0 / Abstract: The purpose of this work is to develop a text in Portuguese about Harmonic Analysis on the d-dimensional real sphere Sd and to apply the results of the text to study a multiplier theorem. In the first two chapters it is made a study about harmonic functions in a domain of the euclidian space Rd+1, spherics harmonics, representations of SO(d+1), zonal harmonics, ultraspherics polynomials and about the Laplace Beltrami operator on the sphere. Finally, in the third chapter it is studied a recent multiplier theorem which gives sufficient conditions for a multiplier operator be bounded from Lp(Sd) to Lq(Sd), for 1=p, q=8. As application of this theorem are obtained upper bounds for n-widths of Kolmogorov type of Sobolev classes in the spaces Lq(Sd), 1=p, q= 8, g > 0 / Mestrado / Matematica / Mestre em Matemática
7

Orthogonal and minimum energy high-order bases for the finite element method = Bases ortogonais de alta ordem e de mínima energia para o método de elementos finitos / Bases ortogonais de alta ordem e de mínima energia para o método de elementos finitos

Santos, Caio Fernando Rodrigues dos, 1986- 26 August 2018 (has links)
Orientador: Marco Lúcio Bittencourt / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica / Made available in DSpace on 2018-08-26T18:11:15Z (GMT). No. of bitstreams: 1 Santos_CaioFernandoRodriguesdos_D.pdf: 60307032 bytes, checksum: 4e05fc37f22f1d9206fa3c5665d9bc34 (MD5) Previous issue date: 2015 / Resumo: Nesse trabalho apresentamos os procedimentos de construção de bases para o Método de Elementos Finitos (MEF) de alta ordem considerando o procedimento de diagonalização simultânea dos modos internos da matriz de massa e rigidez unidimensionais e a ortogonalização dos modos de contorno usando procedimentos de mínima energia. Nesse caso, os conceitos de ortogonalização de mínima energia são usados como uma maneira eficiente de se construir modos de contorno ortogonais aos modos internos das funções de forma $1D$. Novas funções de forma unidimensionais para o MEF de alta ordem são apresentadas para a construção de bases simultaneamente diagonais de mínima energia para o operador de Helmholtz. Além disso, um procedimento para o cálculo das matrizes de massa e rigidez $2D$ e $3D$, como combinação dos coeficientes unidimensionais das matrizes de massa, rigidez e mista é apresentado para elementos quadrilaterais e hexaédricos distorcidos em problemas de projeção, Poisson, estado plano e estado geral em problemas de elasticidade linear. O uso de procedimentos via matrizes unidimensionais permite obter um speedup significativo em comparação com o procedimento padrão, para malhas distorcidas e não distorcidas. Com esse procedimento, é possível armazenar apenas as funções de forma unidimensionais e suas derivadas calculadas nos pontos de integração unidimensionais gerando uma redução no consumo de memória. O desempenho das bases propostas foi verificado através de testes numéricos e os resultados comparados com aqueles usando a base padrão com polinômios de Jacobi. Características como esparsidade, condicionamento numérico e número de iterações usando o método dos gradientes conjugados com precondicionador diagonal também são investigados. Além disso, investigamos o uso da matriz de massa local, utilizando bases simultaneamente diagonais de mínima energia, como pré-condicionador. Os resultados foram comparados com o uso do precondicionador diagonal e SSOR (Symmetric Successive Over Relaxation) / Abstract: In this work we present construction procedures of bases for the high-order finite element method (FEM) considering a procedures for the simultaneous diagonalization of the internal modes of the one-dimensional mass and stiffness matrices and orthogonalization of the boundary modes using minimum energy procedure. The concepts of minimum energy orthogonalization are used efficiently to construct one-dimensional boundary modes orthogonal to the internal modes of the shape functions. New one-dimensional bases for the high-order FEM are presented for the construction of the simultaneously diagonal and minimum energy basis for the Helmholtz norm. Furthermore, we present a calculation procedure for the $2D$ and $3D$ mass and stiffness matrices, as the combination of one-dimensional coefficients of the mass, stiffness and Jacobian matrices. This procedure is presented for quadrilateral and hexahedral distorted elements in projection, Poisson, plane state and general linear elasticity problems. The use of the one-dimensional matrices procedure allows a significant speedup compared to the standard procedure for distorted and undistorted meshes. Also, this procedure stores only one-dimensional shape functions and their derivatives calculated using one-dimensional integration points, which generates a reduction in memory consumption. The performance of the proposed bases was verified by numerical tests and the results are compared with those using the standard basis using Jacobi polynomials. Sparsity patterns, condition numbers and number of iterations using the conjugate gradient methods with diagonal preconditioner are also investigated. Furthermore, we investigated the use of the local mass matrix using simultaneously diagonal and minimum energy bases as preconditioner to solve the system of equations. The results are compared with the diagonal preconditioner and Symmetric Successive Over Relaxation (SSOR) / Doutorado / Mecanica dos Sólidos e Projeto Mecanico / Doutor em Engenharia Mecânica
8

Ambiente atmosférico favorável ao desenvolvimento de complexos convectivos de mesoescala no sul do Brasil

Moraes, Flávia Dias de Souza January 2016 (has links)
Complexos Convectivos de Mesoescala (CCM) são eventos meteorológicos de difícil previsão, que resultam em tempestades severas e desastres. O objetivo deste trabalho é indicar as características em grande escala do ambiente atmosférico favorável para a formação de CCM no Sul do Brasil, entre 1998 e 2007. Fez-se uso da base de dados de CCM de Durkee e Mote (2009), assim como das variáveis de Potencial de Energia Convectiva Disponível (CAPE), ponto de orvalho, temperatura, altura geopotencial, componentes de vento u e v e umidade relativa da reanálise do National Center for Environmental Prediction (NCEP) Climate Forecast System Reanalysis (CFSR), coletadas entre 2,5 e 5,5 horas antes do desenvolvimento dos CCM. Com o método de Análise das Componentes Principais (ACP), geraram-se as composições do ambiente atmosférico médio favorável ao desenvolvimento dos CCM, para comparar o grupo dos que ocorreram no Sul do Brasil ao dos que atuaram em outras regiões da AS. Usando como dado de entrada as variáveis de altura geopotencial e temperatura (em 850 hPa), foram encontradas quatro componentes principais para cada um dos grupos de CCM. Com base nas componentes principais, nas variáveis atmosféricas e nas cartas sinóticas, foram reconstruídos os ambientes atmosféricos médios para identificar o comportamento das características atmosféricas prévias aos CCM para cada conjunto de eventos. Os resultados identificaram 303 CCM, 96 no Sul do Brasil, 168 em outras regiões da AS e 39 oceânicos. O ambiente atmosférico médio dos 168 CCM não apresentou características homogêneas, pois 75% das componentes não possuíam jatos de baixos níveis (JBN) dentro dos critérios adotados, mas a presença de um escoamento meridional. Esse fluxo, ao encontrar com a região de divergência dos jatos de altos níveis (JAN), foi um dos fatores favoráveis para a convecção, já que seus valores de CAPE (≥ 450 J kg-1) eram menores que a média esperada para formação de tempestades e só uma das componentes teve frentes frias associadas. Por outro lado, o grupo dos 96 CCM que atuaram no Sul do Brasil mostrou-se cerca de 50.000 km² maior em extensão que os das outras regiões da AS e dos EUA e com duração de pelo menos 3 h a mais. Além disso, as características atmosféricas do grupo de CCM do Sul do Brasil mostraram padrões homogêneos, podendo indicar a formação de CCM nessa região quando: o campo de ventos médios em 850 e 200 hPa, se encontrarem em posição ortogonal, indicando acoplamento entre os jatos de baixos e altos níveis; os valores de CAPE forem ≥ 600 J kg-1 e o cisalhamento vertical estiver entre 7 e 12 m s-1; houver atuação das frentes frias no sul da AS; a umidade relativa disponível estiver concentrada próxima à região Sul do Brasil, com valores maiores que 80%; a altura geopotencial (850 hPa) apresentar um cavado na região gênese dos CCM e a temperatura (850 hPa) estiver mais elevada próxima e ao norte da região de formação. / Mesoscale Convective Complexes (MCCs) are meteorological events difficult to forecast, which result in severe storms and other natural hazards. This study’s objective is to indicate the large-scale atmospheric environment favorable to develop MCCs in Southern Brazil during the 1998–2007 period. The MCCs database used was from Durkee and Mote (2009) and the variables selected include CAPE (Convective Available Potential Energy), dewpoint temperature, temperature, geopotential height, and relative humidity from National Center for Environmental Prediction (NCEP) Climate Forecast System Reanalysis (CFSR), collected from 2,5 to 5,5 hours before the MCCs’ development. Principal component analysis (PCA) method was used to construct the average atmospheric environments of MCCs group that occurred in Southern Brazil to compare with MCCs that occurred in other regions of South America. Temperature and geopotential height were the variables used for the PCA, resulting in four principal components to each MCCs group. Based on these principal components, meteorological variables and synoptic charts, average atmospheric environments were built to understand the atmospheric parameters that indicate the development of MCCs in each group. Results show 303 MMCs, 96 were located in Southern Brazil, 168 in South America and 39 in the South Atlantic Ocean. The average atmospheric environment from the group of 168 MCCs did not indicate homogeneous characteristics, as 75% of its principal components cannot be characterized as having a low-level jet (LLJ) in the wind field, instead only a meridional flux of humid and warm air at 850 hPa. This air coupled with the upperlevel jet (ULJ) was found to be responsible for convection developing MCCs, as CAPE (≥ 450 J kg-1) was below the average to produce storms and only one component was associated with a cold front. On the other hand, the MCCs’ group of Southern Brazil is on the order of 50.000 km² larger and 3 hours longer than MCCs from other regions of South America and from the United States. Furthermore, the atmospheric characteristics of the Southern Brazil MCCs’ group revealed homogenous patterns, which suggest that the development of MCCs in this region starts when: the mean wind field indicate a coupled LLJ (jet streak between 10 and 12 m s-1) and ULJ (jet streak ≥ 32 m s-1), CAPE value is ≥ 600 J kg-1 and the vertical wind shear is from 7 to 12 m s-1, cold fronts are active in Southern South America, the relative humidity is concentrated in Southern Brazil and above 80%, the geopotential height (850 hPa) indicate a trough in the genesis region of MCCs and the temperature (850 hPa) is higher near and northern the genesis region.
9

Ambiente atmosférico favorável ao desenvolvimento de complexos convectivos de mesoescala no sul do Brasil

Moraes, Flávia Dias de Souza January 2016 (has links)
Complexos Convectivos de Mesoescala (CCM) são eventos meteorológicos de difícil previsão, que resultam em tempestades severas e desastres. O objetivo deste trabalho é indicar as características em grande escala do ambiente atmosférico favorável para a formação de CCM no Sul do Brasil, entre 1998 e 2007. Fez-se uso da base de dados de CCM de Durkee e Mote (2009), assim como das variáveis de Potencial de Energia Convectiva Disponível (CAPE), ponto de orvalho, temperatura, altura geopotencial, componentes de vento u e v e umidade relativa da reanálise do National Center for Environmental Prediction (NCEP) Climate Forecast System Reanalysis (CFSR), coletadas entre 2,5 e 5,5 horas antes do desenvolvimento dos CCM. Com o método de Análise das Componentes Principais (ACP), geraram-se as composições do ambiente atmosférico médio favorável ao desenvolvimento dos CCM, para comparar o grupo dos que ocorreram no Sul do Brasil ao dos que atuaram em outras regiões da AS. Usando como dado de entrada as variáveis de altura geopotencial e temperatura (em 850 hPa), foram encontradas quatro componentes principais para cada um dos grupos de CCM. Com base nas componentes principais, nas variáveis atmosféricas e nas cartas sinóticas, foram reconstruídos os ambientes atmosféricos médios para identificar o comportamento das características atmosféricas prévias aos CCM para cada conjunto de eventos. Os resultados identificaram 303 CCM, 96 no Sul do Brasil, 168 em outras regiões da AS e 39 oceânicos. O ambiente atmosférico médio dos 168 CCM não apresentou características homogêneas, pois 75% das componentes não possuíam jatos de baixos níveis (JBN) dentro dos critérios adotados, mas a presença de um escoamento meridional. Esse fluxo, ao encontrar com a região de divergência dos jatos de altos níveis (JAN), foi um dos fatores favoráveis para a convecção, já que seus valores de CAPE (≥ 450 J kg-1) eram menores que a média esperada para formação de tempestades e só uma das componentes teve frentes frias associadas. Por outro lado, o grupo dos 96 CCM que atuaram no Sul do Brasil mostrou-se cerca de 50.000 km² maior em extensão que os das outras regiões da AS e dos EUA e com duração de pelo menos 3 h a mais. Além disso, as características atmosféricas do grupo de CCM do Sul do Brasil mostraram padrões homogêneos, podendo indicar a formação de CCM nessa região quando: o campo de ventos médios em 850 e 200 hPa, se encontrarem em posição ortogonal, indicando acoplamento entre os jatos de baixos e altos níveis; os valores de CAPE forem ≥ 600 J kg-1 e o cisalhamento vertical estiver entre 7 e 12 m s-1; houver atuação das frentes frias no sul da AS; a umidade relativa disponível estiver concentrada próxima à região Sul do Brasil, com valores maiores que 80%; a altura geopotencial (850 hPa) apresentar um cavado na região gênese dos CCM e a temperatura (850 hPa) estiver mais elevada próxima e ao norte da região de formação. / Mesoscale Convective Complexes (MCCs) are meteorological events difficult to forecast, which result in severe storms and other natural hazards. This study’s objective is to indicate the large-scale atmospheric environment favorable to develop MCCs in Southern Brazil during the 1998–2007 period. The MCCs database used was from Durkee and Mote (2009) and the variables selected include CAPE (Convective Available Potential Energy), dewpoint temperature, temperature, geopotential height, and relative humidity from National Center for Environmental Prediction (NCEP) Climate Forecast System Reanalysis (CFSR), collected from 2,5 to 5,5 hours before the MCCs’ development. Principal component analysis (PCA) method was used to construct the average atmospheric environments of MCCs group that occurred in Southern Brazil to compare with MCCs that occurred in other regions of South America. Temperature and geopotential height were the variables used for the PCA, resulting in four principal components to each MCCs group. Based on these principal components, meteorological variables and synoptic charts, average atmospheric environments were built to understand the atmospheric parameters that indicate the development of MCCs in each group. Results show 303 MMCs, 96 were located in Southern Brazil, 168 in South America and 39 in the South Atlantic Ocean. The average atmospheric environment from the group of 168 MCCs did not indicate homogeneous characteristics, as 75% of its principal components cannot be characterized as having a low-level jet (LLJ) in the wind field, instead only a meridional flux of humid and warm air at 850 hPa. This air coupled with the upperlevel jet (ULJ) was found to be responsible for convection developing MCCs, as CAPE (≥ 450 J kg-1) was below the average to produce storms and only one component was associated with a cold front. On the other hand, the MCCs’ group of Southern Brazil is on the order of 50.000 km² larger and 3 hours longer than MCCs from other regions of South America and from the United States. Furthermore, the atmospheric characteristics of the Southern Brazil MCCs’ group revealed homogenous patterns, which suggest that the development of MCCs in this region starts when: the mean wind field indicate a coupled LLJ (jet streak between 10 and 12 m s-1) and ULJ (jet streak ≥ 32 m s-1), CAPE value is ≥ 600 J kg-1 and the vertical wind shear is from 7 to 12 m s-1, cold fronts are active in Southern South America, the relative humidity is concentrated in Southern Brazil and above 80%, the geopotential height (850 hPa) indicate a trough in the genesis region of MCCs and the temperature (850 hPa) is higher near and northern the genesis region.
10

Ambiente atmosférico favorável ao desenvolvimento de complexos convectivos de mesoescala no sul do Brasil

Moraes, Flávia Dias de Souza January 2016 (has links)
Complexos Convectivos de Mesoescala (CCM) são eventos meteorológicos de difícil previsão, que resultam em tempestades severas e desastres. O objetivo deste trabalho é indicar as características em grande escala do ambiente atmosférico favorável para a formação de CCM no Sul do Brasil, entre 1998 e 2007. Fez-se uso da base de dados de CCM de Durkee e Mote (2009), assim como das variáveis de Potencial de Energia Convectiva Disponível (CAPE), ponto de orvalho, temperatura, altura geopotencial, componentes de vento u e v e umidade relativa da reanálise do National Center for Environmental Prediction (NCEP) Climate Forecast System Reanalysis (CFSR), coletadas entre 2,5 e 5,5 horas antes do desenvolvimento dos CCM. Com o método de Análise das Componentes Principais (ACP), geraram-se as composições do ambiente atmosférico médio favorável ao desenvolvimento dos CCM, para comparar o grupo dos que ocorreram no Sul do Brasil ao dos que atuaram em outras regiões da AS. Usando como dado de entrada as variáveis de altura geopotencial e temperatura (em 850 hPa), foram encontradas quatro componentes principais para cada um dos grupos de CCM. Com base nas componentes principais, nas variáveis atmosféricas e nas cartas sinóticas, foram reconstruídos os ambientes atmosféricos médios para identificar o comportamento das características atmosféricas prévias aos CCM para cada conjunto de eventos. Os resultados identificaram 303 CCM, 96 no Sul do Brasil, 168 em outras regiões da AS e 39 oceânicos. O ambiente atmosférico médio dos 168 CCM não apresentou características homogêneas, pois 75% das componentes não possuíam jatos de baixos níveis (JBN) dentro dos critérios adotados, mas a presença de um escoamento meridional. Esse fluxo, ao encontrar com a região de divergência dos jatos de altos níveis (JAN), foi um dos fatores favoráveis para a convecção, já que seus valores de CAPE (≥ 450 J kg-1) eram menores que a média esperada para formação de tempestades e só uma das componentes teve frentes frias associadas. Por outro lado, o grupo dos 96 CCM que atuaram no Sul do Brasil mostrou-se cerca de 50.000 km² maior em extensão que os das outras regiões da AS e dos EUA e com duração de pelo menos 3 h a mais. Além disso, as características atmosféricas do grupo de CCM do Sul do Brasil mostraram padrões homogêneos, podendo indicar a formação de CCM nessa região quando: o campo de ventos médios em 850 e 200 hPa, se encontrarem em posição ortogonal, indicando acoplamento entre os jatos de baixos e altos níveis; os valores de CAPE forem ≥ 600 J kg-1 e o cisalhamento vertical estiver entre 7 e 12 m s-1; houver atuação das frentes frias no sul da AS; a umidade relativa disponível estiver concentrada próxima à região Sul do Brasil, com valores maiores que 80%; a altura geopotencial (850 hPa) apresentar um cavado na região gênese dos CCM e a temperatura (850 hPa) estiver mais elevada próxima e ao norte da região de formação. / Mesoscale Convective Complexes (MCCs) are meteorological events difficult to forecast, which result in severe storms and other natural hazards. This study’s objective is to indicate the large-scale atmospheric environment favorable to develop MCCs in Southern Brazil during the 1998–2007 period. The MCCs database used was from Durkee and Mote (2009) and the variables selected include CAPE (Convective Available Potential Energy), dewpoint temperature, temperature, geopotential height, and relative humidity from National Center for Environmental Prediction (NCEP) Climate Forecast System Reanalysis (CFSR), collected from 2,5 to 5,5 hours before the MCCs’ development. Principal component analysis (PCA) method was used to construct the average atmospheric environments of MCCs group that occurred in Southern Brazil to compare with MCCs that occurred in other regions of South America. Temperature and geopotential height were the variables used for the PCA, resulting in four principal components to each MCCs group. Based on these principal components, meteorological variables and synoptic charts, average atmospheric environments were built to understand the atmospheric parameters that indicate the development of MCCs in each group. Results show 303 MMCs, 96 were located in Southern Brazil, 168 in South America and 39 in the South Atlantic Ocean. The average atmospheric environment from the group of 168 MCCs did not indicate homogeneous characteristics, as 75% of its principal components cannot be characterized as having a low-level jet (LLJ) in the wind field, instead only a meridional flux of humid and warm air at 850 hPa. This air coupled with the upperlevel jet (ULJ) was found to be responsible for convection developing MCCs, as CAPE (≥ 450 J kg-1) was below the average to produce storms and only one component was associated with a cold front. On the other hand, the MCCs’ group of Southern Brazil is on the order of 50.000 km² larger and 3 hours longer than MCCs from other regions of South America and from the United States. Furthermore, the atmospheric characteristics of the Southern Brazil MCCs’ group revealed homogenous patterns, which suggest that the development of MCCs in this region starts when: the mean wind field indicate a coupled LLJ (jet streak between 10 and 12 m s-1) and ULJ (jet streak ≥ 32 m s-1), CAPE value is ≥ 600 J kg-1 and the vertical wind shear is from 7 to 12 m s-1, cold fronts are active in Southern South America, the relative humidity is concentrated in Southern Brazil and above 80%, the geopotential height (850 hPa) indicate a trough in the genesis region of MCCs and the temperature (850 hPa) is higher near and northern the genesis region.

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