ࡱ> CEB`xM Nbjbj==!rWWIl(LLL8DD(;|".ooo:::::::$< >:oM"ooo:".:"""oP.:"o:""*8O:  ~+#($L`9O:4:0;9z?!z?O:"((PARAMETRIZAO DE COBERTURA DE CMULOS RASOS NO RAMS: SENSIBILIDADE AO ENTRANHAMENTO Tatiane F. Barbosa Enio P. Souza Abstract: Shallow cumulus plays an important role in maintaining the profiles of temperature and moisture in low levels. Therefore, Regional Atmospheric Modeling System RAMS was enabled to calculate shallow cumulus cover and its sensitivity to the entrainment rate was tested. The results show that an increasing of the entrainment rate increases the lower level coverage although diminishes the cumulus depth. Key words: cumulus cover, entrainment, RAMS Resumo: Os cmulos rasos tm uma importante funo na manuteno dos perfis de temperatura e umidade na baixa troposfera. Dessa forma, o Regional Atmospheric Modeling System RAMS foi dotado da capacidade de calcular a cobertura de cmulos rasos e testado a sensibilidade com relao taxa de entranhamento. Os resultados mostram que o aumento da taxa de entranhamento nos cmulos rasos aumenta a frao de rea coberta em baixos nveis, contudo diminui a profundidade das mesmas. Palavras-chave: cobertura de nuvem, entranhamento, RAMS 1. Introduo A atmosfera tropical caracterizada pela presena de cmulos rasos, cuja importncia reside na sua influncia no balano de energia e de umidade da camada limite convectiva e da superfcie (Souza, 1999). A presena de cmulos rasos modifica o perfil termodinmico na baixa troposfera, criando um ambiente mais favorvel ao desenvolvimento da conveco profunda (Yanai et al. 1973). Souza (1999) props uma parametrizao simples de cmulos rasos capaz de representar o ciclo diurno da conveco no precipitante sobre o continente e sua interao com a superfcie, assim como uma melhor configurao do perfil termodinmico da atmosfera. Esse esquema possui entre os seus parmetros ajustveis, uma taxa de entranhamento, cujo efeito torna-se maior nos nveis mais elevados das nuvens. Um modelo de mesoescala que vise boas simulaes deve ser capaz de representar os processos fsicos da forma mais realista possvel. Dessa forma, um esquema de parametrizao da cobertura cmulos rasos, proposto por Albrecht (1981) e aperfeioado por Haiden (1996) foi implementado no modelo Regional Atmospheric Modeling System - RAMS, cuja estrutura bsica descrita por Pielke et al. (1992). Neste trabalho, ser testada a sensibilidade da cobertura de cmulos rasos taxa de entranhamento. 2. Material e MtodoS 2.1. Esquema de Conveco Rasa O esquema proposto por Souza (1999) do tipo fluxo de massa e combina dois tipos de modelo: o modelo de nuvens do tipo Arakawa & Schubert (1974) e o fluxo de massa segue a teoria da mquina trmica de Renn & Ingersoll (1996). O fluxo de massa baseia-se no princpio de que uma vez que a atmosfera forada pelo fluxo de energia superfcie, um fluxo de massa necessrio para que a atmosfera tente restabelecer seu perfil de equilbrio radiativo-convectivo local. Isso estabelece uma relao direta entre o fluxo de massa convectivo e o forante de superfcie, reproduzindo uma caracterstica observacional (Minnis & Harrison, 1984; Wilde et al., 1985). As equaes prognsticas para entalpia (s) e umidade especfica total (qt) so:  EMBED Equation.3 , (1)  EMBED Equation.3  (2) nas quais, s= cpT+gz a energia esttica seca, cp o calor especfico do ar seco sob presso constante, T a temperatura absoluta, g a acelerao da gravidade, z a altura hidrosttica, qt=qv+ql a umidade especfica total, ql a umidade especfica da gua lquida, sl=s-Lql a energia esttica da gua lquida e L o calor o calor latente especfico de vaporizao. As quantidades marcadas com uma linha referem-se a perturbaes causadas pela presena de conveco. O fluxo de massa convectivo obtido por argumentos termodinmicos:  EMBED Equation.3  . (3) em que ( a densidade do ar, ( a rea fracional coberta por correntes ativas dentro da nuvem e wc a velocidade vertical, ( a eficincia termodinmica, Fabs o fluxo de energia absorvida pelo sistema, e TCAPE a energia potencial convectiva disponvel total. A eficincia termodinmica ( dada por:  EMBED Equation.3 , (4) em que, TQ a temperatura do reservatrio quente (considerada como a temperatura do primeiro nvel do modelo) e TF a temperatura do reservatrio frio (calculada como uma mdia na camada convectiva). TCAPE pode ser obtido a partir da aproximao TCAPE=2xCAPE (Renn e Ingersoll, 1996) com CAPE escrita na forma:  EMBED Equation.3  , (5) em que, NCE o nvel de conveco espontnea NPE o nvel de perda de empuxo para conveco rasa e Tvc a temperatura virtual da nuvem para um processo no qual h entranhamento. Na formulao de TCAPE, est implicita a contribuio do trabalho convectivo realizado por correntes descendentes e por conveco no saturada. As propriedades da nuvem, caracterizadas pelo smbolo c, so obtidas a partir das equaes de Arakawa & Schubert: (1974). O perfil vertical de energia esttica mida da nuvem, hc, obtido a partir de:  EMBED Equation.3  , (6) em que h=cpT+gz+Lqv a energia esttica mida. E (z a taxa de entranhamento, definido como uma funo da altura de forma que se leva em considerao o fato da maior parte do entranhamento ocorrer nas partes superiores das nuvens (Paluch, 1979). Portanto (z escrito como:  EMBED Equation.3  (7) em que (0 um valor inicial e Z* uma altura de referncia na qual sempre que a profundidade da conveco aumenta de Z*, a taxa de entranhamento aumenta por um fator de 10. Os perfis de energia esttica mida e umidade especfica so determinados a partir das equaes:  EMBED Equation.3  , (8)  EMBED Equation.3  , (9) nas quais,  EMBED Equation.3 . O perfil de qlc obtido de:  EMBED Equation.3  . (10) A cobertura de nuvem determinada segundo Haiden (1996):  EMBED Equation.3  (11) em que (q o dficit de saturao do ambiente. 2.2. Caracterstica do Modelo para Simulao O RAMS, na verso 4.3, foi inicializado tendo como entrada as reanlises do modelo de grande escala, e integrado com resoluo horizontal de 32 Km, cobrindo toda regio Nordeste. Foram distribudos 80 pontos de grade na direo x, como tambm na direo y, centrada no ponto 7 S e 37 W. Utilizam-se 32 nveis na vertical, iniciado com 120 metros e aumentado por um fator de 1,2 a cada nvel at atingir uma resoluo de 1000 metros, tornando-se constante em seguida. Os nveis de solo adotados foram sete, nas profundidades de 2; 1,5; 1; 0,75;0,5; 0,25 e 0,05 m com saturao de umidade de 60% nas duas primeiras profundidades e de 50% nas demais. O tempo de integrao foi de 60 segundos. Um nudging de 1800 segundos foi aplicado nos limites laterais e nenhum nudging foi aplicado no interior do domnio de forma que a prpria dinmica do modelo determina a qualidade da simulao. As parametrizaes ativadas foram: a radiaes de onda longa e de onda curta seguindo o esquema de Chen ( Cotton (1983), a conveco profunda segundo Kuo (1974), de acordo com Molinari ( Corsetti (1985). A difuso turbulenta segue o esquema de Mellor ( Yamada (1982), a conveco rasa de acordo com Souza (1999) e a microfsica ativada no nvel trs, considerando-se a produo de precipitao a partir da evoluo de um espectro de gotas em nuvens com caractersticas estratiformes. 2.3. Dados Os dados utilizados foram das reanlises do modelo global do National Center for Atmospheric Research/National Center for Environmental Prediction NCAR/NCEP (Kalnay et al., 1996) correspondente ao perodo do experimento EMAS I. Foi realizada uma simulao iniciada no dia 22 de maro de 1995 para um perodo de 48 horas com dados assimilados a cada 6 horas. 2.4. Descrio dos Experimentos Foram realizados trs experimentos com a finalidade de avaliar o impacto do entranhamento na cobertura de nuvem da parametrizao de cmulus rasos do RAMS. No experimento ZCNR70, o modelo integrado com a cobertura de nuvem formulada pela Equao (7) e altura de referncia Z* de 700 m. Os experimentos ZCNR50 e ZCNR35 so realizados para as mesmas condies, contudo a altura de referncia modificada para 500 m e 350 m, respectivamente, de forma que a taxa de entranhamento aumente no interior da nuvem. 3. RESULTADOS E DISCUSSES A mdia da cobertura de nuvem rasa entre 9 e 21 UTC na altura de 1035 m para o primeiro dia de integrao do experimento ZCNR70 vista na Figura 1. Verifica-se uma boa distribuio da conveco rasa, principalmente sobre a regio continental. A rea escolhida para a anlise da cobertura cmulos rasos compreendida entre 6S e 12S e 42W e 48W, conforme o quadrado traado na Figura 1. As figuras referentes s variveis que sero analisadas foram feitas a partir da mdia nessa rea e na altura de 1035 m. As Figuras 2, 3 e 4 apresentam a variao temporal da cobertura mdia de nuvens rasas com a longitude numa altitude de 1035 m para os experimentos ZCNR70, ZCNR50 e ZCNR35 respectivamente. Foi realizada uma mdia da cobertura de nuvem rasa com a latitude no intuito de melhor visualizar o ciclo diurno da conveco rasa sobre o continente e oceano. No experimento ZCNR70 (Figura 2), a mdia da cobertura sobre o continente apresenta um ciclo diurno evidente, com frao de cobertura mdia de nuvem rasa em torno de 5% no incio do aquecimento radiativo, para os dois dias considerados. A frao de cobertura mdia atinge um mximo de 20% no dia 22 e 25% no dia 23 em, aproximadamente, 12 horas local, e em seguida diminui at no existir nuvem rasa sobre o continente, pois sem o forante trmico no possvel a formao de conveco rasa. H uma inclinao com a longitude da cobertura mdia, sendo evidente a presena de nuvens rasas primeiramente na poro leste do continente (longitude de aproximadamente 37 W) e posteriormente nas demais regies a oeste. J na poro mais a oeste, a conveco rasa inicia-se mais tarde, aproximadamente 7 h, em virtude da rotao da Terra, e finaliza mais tarde, depois das 18 h. Sobre o oceano, correspondendo as longitudes a leste de 36 W, a conveco rasa est presente durante o dia e a noite, pois a superfcie do oceano apresenta temperaturas quase constantes, no resfriando muito a noite, logo h sempre energia suficiente para garantir a formao de conveco rasa. A cobertura mdia de nuvem rasa para o experimento ZCNR50 (Figura 3) apresenta uma configurao semelhante do experimento ZCNR70, porm a frao de cobertura mdia mxima observada no dia 23 de 48% s 36 UTC entre as longitudes de 38 e 40 W. No experimento ZCNR35 (Figura 4) a mdia da cobertura nos dias em questo cobre uma rea maior que aquela observada nos dois experimentos anteriores, contudo o valor mximo notado de 40% para o dia 22 e de 48% para o dia 23. Na altura analisada, o ZCNR35 apresentou a maior cobertura, principalmente no primeiro dia.  Figura 1 Mdia temporal da cobertura de nuvem rasa para o experimento ZCNR70.  Figura 2 Evoluo temporal da cobertura mdia de nuvem rasa (em %) na altitude de 1035 m. Experimento ZCNR70.  Figura 3 Evoluo temporal da cobertura mdia de nuvem rasa (em %) na altitude de 1035 m. Experimento ZCNR50.  Figura 4 Evoluo temporal da cobertura mdia de nuvem rasa (em %) na altitude de 1035 m. Experimento ZCNR35. As Figuras 5, 6 e 7 apresentam a cobertura mdia de nuvem rasa para os experimentos ZCNR70, ZCNR50 e ZCNR35, respectivamente. Elas representam uma evoluo temporal da cobertura mdia de nuvem com a altura, dessa forma, possvel verificar a profundidade da conveco rasa em cada experimento. No experimento ZCNR70 (Fig. 5) o topo da nuvem rasa atinge uma altitude aproximada de 4300 m, e apresenta uma profundidade mxima de 3800 m. O mximo de rea coberta de 42% se encontra entre as alturas de 2000 e 2500m s 15 UTC no dia 22 e de 30% em 2000 m no dia 23. No experimento ZCNR50 (Fig. 6), a nuvem atinge uma profundidade de 3000 m, com espessura de 2500 m. O mximo de rea coberta no dia 22 42% em 1700m e 30% em 1500 m s 15 UTC No experimento ZCNR35 (Fig. 7), a altura do topo 2000 m e a profundidade da nuvem aproximadamente de 1500 m. O mximo encontrado nesse experimento de 24% e 12 % em 1000m para os dias 22 e 23 respectivamente. Dessa forma, com o aumento do entranhamento, as nuvens rasas se tornam menos profundas, quando comparadas quelas que apresentam o menor entranhamento. Isso se deve ao fato do entranhamento destruir o empuxo das parcelas, diminuindo assim, a velocidade vertical das mesmas, ocasionando nuvens mais rasa.  Figura 5 Evoluo temporal da cobertura mdia de nuvem rasa (em %) com a altura. Experimento ZCNR70.  Figura 6 Evoluo temporal da cobertura mdia de nuvem rasa (em %) com a altura. Experimento ZCNR50.  Figura 7 Evoluo temporal da cobertura mdia de nuvem rasa (em %) com a altura. Experimento ZCNR35. A Figura 8 representa a mdia da cobertura de nuvem rasa numa altitude de 1035 m para os experimentos ZCNR70, ZCNR50 e ZCNR35. Observa-se que a cobertura de nuvem dada pelo experimento ZCNR35 maior que aquela representada pelos experimentos ZCNR70 e ZCNR35 no primeiro dia e integrao. Logo evidente que aumentando o entranhamento na nuvem a cobertura de nuvem tambm aumenta. Isso ocorre porque nuvens com maior entranhamento possuem menor empuxo. Portanto, para que o fluxo convectivo ocorra necessrio que a cobertura de nuvens seja maior, conforme mostrado por Souza (1999). Contudo, deve-se notar que nuvens mais profundas apresentam mxima cobertura mais acima, conforme mostrado nas Figuras 5, 6 e 7.  Figura 8 Cobertura mdia de nuvem na altura de 1035 para os experimentos ZCNR70 (crculo aberto), ZCNR50 (x) e ZCNR35.(tringulo) A Figura 9 apresenta a evoluo temporal mdia da TCAPE (energia potencial convectiva disponvel total). Observa-se que o experimento com menor taxa de entranhamento (ZCNR70) apresenta os maiores valores de TCAPE, enquanto que para o experimento com maior taxa de entranhamento (ZCNR35) o valor da TCAPE 240 Jkg-1 menor para o primeiro dia de integrao. No segundo dia, o experimento ZCNR70 130 Jkg-1 maior que o experimento ZCNR35. A Figura 10 representa a eficincia termodinmica mdia. Verifica-se que o experimento ZCNR35 apresenta os menores valores de eficincia. Isso ocorre pelo fato e quanto mais rasa for a nuvem, mais baixo ser seu topo e haver uma diminuio na temperatura do reservatrio frio o que diminui o valor da eficincia termodinmica. Para o experimento ZCNR70 ocorre o oposto, pois nuvens mais profundas apresentam maiores valores da eficincia termodinmica.  Figura 9 Evoluo temporal mdia do TCAPE (JKg-1) para os experimentos ZCNR70(crculo), ZCNR50(x) e ZCNR35 (tringulo)  Figura 10 Evoluo temporal mdia da Eficincia Termodinmica (%) para os experimentos ZCNR70(crculo), ZCNR50(x) e ZCNR35 (tringulo) 4. CONCLUSES Estudou-se a sensibilidade do modelo RAMS quanto a trs diferentes taxas de entranhamento. As principais concluses foram: O aumento do entranhamento, atravs da diminuio de Z*, nas nuvens rasas aumenta a frao de rea coberta em baixos nveis, contudo diminui a profundidade das mesmas, deixando-as mais rasas. Isso porque o entranhamento destri o empuxo das parcelas, causando nuvens mais rasas e com maior cobertura, para compensar o menor empuxo. Em relao eficincia termodinmica e TCAPE, observou-se que, quanto mais rasa for a nuvem, menor ser a eficincia termodinmica. E quanto mais profunda for a nuvem, maior ser TCAPE. REFERNCIAs BIBLIOGRFICAs ALBRECHT, B. A., Parameterization of trade-cumulus cloud amounts. J. Atmos. Sci., v.38, 97-105, 1981. Arakawa, A.; W. H. Schubert, Interaction of a cumulus cloud ensemble with the large-scale environment. Part I. J. Atmos. Sci., v.31, 674-701, 1974. Betts, A. K., Non-precipitating cumulus convection e its parameterization. Quart. J. R. Met. Soc., v.99, 178-196, 1973. BEZERRA, P. C., Efeito da resoluo horizontal na simulao de um evento chuvoso extremo. 67p. Dissertao de Mestrado. Universidade Federal de Campina Grande, Campina Grande. 2002. CAVALCANTI, E. P., Teor e transporte de vapor dgua na atmosfera do Nordeste do Brasil. 2001. 115 p. Tese (Doutorado em Recursos Hdricos) Universidade Federal da Paraba, Campina Grande. 2001. CLARKE, R. H., A. J. DYER, R. R. BROOK, D. G. REID AND A. J. TROUP, The Sangara Experiment: Boundary Layer Data. Tech. Pap. No. 19, Div. Meteor. Phys. CSIRO, Austrlia, 316 [NTIS N71-378338.] 1971. Chen, C., e W. R. Cotton, A one-dimensional simulation of the stratocumulus capped mixed layer. Bound.-L. Meteor., v.25, 289-321, 1983. Haiden, T., Generalization of Albrechts cumulus cloud amount parameterization. J. Atmos. Sci., v.53, 3164-3167, 1996. KALNAY, E., M. KANAMITSU, R. KISTLER, W. COLLINS, D. DEAVEN, L. CANDIN, M. IREDELL, S. SAHA, G. WHITE, J. WOOLLEN, Y. ZHU, C. ROPELEWSKI, J. WANG, A. LEETMAA, R. REYNOLDS, ROY JENNE, D. JOSEPH The NCEP/NCAR 40-year reanalysis project. Bull. Amer. Meteor. Soc., v.77, 437-471, 1996. KUO, H. L. Further studies of the parametrizations of the influence of cumulus convective on large-scale flow. J. Atmos. Sci., v.31, 1232-1240, 1974. Minnis, P., e E. F. Harrison, Diurnal variability of regional cloud and clear-sky radiative parameters derived from GOES data. Part II: November 1978 cloud distributions. J. Climate Appl. Meteor., v.23, 1012-1031, 1984. MELLOR, G. L.; YAMADA, T., Development of a turbulence closure model geophysical fluid problems. Rev. Geop. Spa. Phy., v.20, 851-857, 1982. MOLINARI, J.; CORSETTI, T., Incorporation of cloud-scale ande mesoscale downdrafts into a cumulus parametrization: Results of one and three-dimensional integrations. Mon. Wea. Rev. v.113, 485-501, 1985. PALUCH, I. The entrainment mechanism in Colorado cumuli. J. Atmos. Sci., v.36, 2467-2478, 1979. Pielke, R. A., W. R. Cotton, R. L. Walko, C. J. Tremback, W. A. Lyons, L. D. Dasso, M. E. Nichols, M. D. Moran, D. A. Wesley, T. J. Lee, e J. H. Coperland, A comprehensive meteorological modeling system RAMS. Meteor. Atmos. Phys., v.49, 69-91, 1992. SOUZA, E. P., Estudo terico e numrico da relao entre conveco e superfcies heterogneas na regio amaznica. 121 p. Tese (Doutorado) Universidade de So Paulo, So Paulo. 1999. Stull, R. B., A fair-weather cumulus cloud classification scheme for mixed-layer studies. J. Climate Appl. Meteor., v.24, 49-56, 1985. Wilde, N. P., R. B. Stull, E. W. Eloranta, The LCL zone and cumulus onset. J. Climate Appl. Meteor., v.24, 640-65, 1985. Yanai, M.; S. Esbensen; J. H. Chu, Determination of bulk properties of tropical cloud clusters from large-scale heat and moisture budgets. J. Atmos. Sci., v.30, 611-627, 1973.  DCA/UFCG, CEP:58109-970, Campina Grande, PB. Fone: (83) 341-2410. E-mail: tatianefb@yahoo.com.br  DCA/UFCG, CEP:58109-970, Campina Grande, PB. Fone: (83) 310-1202. 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