ࡱ> ikh9 qAbjbj%bt<l " 6 6 6 J 84<J 1|D"00H'''s1u1u1u1u1u1u1$p3 516 '#'''16 6 0H1'H6 06 Hs1's1$!{/6 6 008 #J F oG00101a0R6oR60J J 6 6 6 6 IMPLEMENTAO DE UM ESQUEMA DE PARAMETRIZAO DE COBERTURA DE CMULOS RASOS NO RAMS Tatiane F. Barbosa, Clnia R. Alcntara, Enio P. Souza Abstract: Regional Atmospheric Modeling System RAMS has been enabled of the capacity of calculating the shallow cumulus cover through two schemes proposed by Albrecht (1981) and improved by Haiden (1996). The results show small differences between the schemes. Nevertheless Haidens scheme is physically more consistent. The model is also able to represent well the diurnal cycle of shallow cumulus over the continent due to the surface forcing to present the same cycle. Key words: cloud cover, shallow convection, RAMS Resumo: O Regional Atmospheric Modeling System RAMS foi dotado da capacidade de calcular a cobertura de cmulos rasos atravs da formulao proposta por Albrecht (1981) e aperfeioada por Haiden (1996). Os resultados mostram pequenas diferenas entre os esquemas. Contudo o proposto por Haiden (1996) fisicamente mais consistente. O modelo tambm capaz de representar bem o ciclo diurno da conveco rasa sobre o continente devido ao fato de o forante em superfcie apresentar o mesmo ciclo. Palavras-chave: cobertura de nuvem, conveco rasa, RAMS Introduo A atmosfera tropical caracterizada pela presena de cmulos rasos, que representam um processo intermedirio de troca turbulenta de calor e umidade entre a camada limite convectiva e a atmosfera livre. A importncia desse tipo de conveco reside na sua influncia no balano de energia e de umidade da camada limite convectiva. 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. Um modelo de mesoescala que vise simulaes realistas deve ser capaz de representar esses processos. Dessa forma o modelo Regional Atmospheric Modeling System - RAMS, cuja estrutura bsica descrita em Pielke et al. (1982), foi dotado da capacidade de calcular, de forma paramtrica, a cobertura de cmulos rasos. Utiliza-se a formulao proposta por Albrecht (1981) e tambm a aperfeioada por Haiden (1996) para o clculo da cobertura de nuvem. Assim, este trabalho tem como meta verificar a cobertura de nuvem dada pelas duas formulaes propostas, comparando-as entre si, sendo possvel verificar a formulao que melhor representa a cobertura de nuvem rasa na regio tropical. MateriaIS e MtodoS Parametrizao da Cobertura de Nuvens Cmulos A parametrizao da quantidade de nuvens cmulos baseada numa populao de nuvens em quase-equilbrio com o ambiente. Isso possvel sempre que a escala de tempo entre a interao de uma nuvem e o ambiente for pequena, quando comparada com a escala de tempo em que ocorrem mudanas na camada de nuvem. Uma classificao das nuvens cmulos de bom tempo baseada na sua interao com a camada de mistura foi sugerida por Stull (1985). Trs categorias de nuvens foram propostas: as foradas, ativas e passivas. As nuvens cmulos foradas se formam no topo da camada limite turbulenta, apresentam empuxo negativo, logo no atingem o nvel de conveco livre. As nuvens cmulos ativas apresentam empuxo positivo e ultrapassam o nvel de conveco livre. Nuvens cmulos passivas tem empuxo negativo e so resultados do decaimento dos cmulos ativos, logo no apresentam nenhuma interao com a camada de mistura. A Figura 1 apresenta um esquema desses trs tipos de nuvens.  Figura 1 Representao esquemtica dos vrios tipos de cmulos e sua relao com a camada limite turbulenta. (adaptada de Stull, 1985). Albrecht (1981) definiu um processo simples de decaimento das nuvens pela diferena do teor de gua entre nuvem e o ambiente, como tambm determinou que a nuvem aproximadamente no flutuante quando sua evaporao completa. Ento para uma nuvem individual, a evoluo temporal do teor de gua dentro da nuvem governada por uma funo de decaimento exponencial de forma que o campo total de cobertura de nuvem :  EMBED Equation.3  , (1) em que  EMBED Equation.3  a umidade relativa do ambiente e  EMBED Equation.3  a razo de saturao. As vriaveis  EMBED Equation.3 ,  EMBED Equation.3 ,  EMBED Equation.3  e  EMBED Equation.3  correspondem a umidade especfica, umidade especfica de saturao, umidade especfica inicial da nuvem e teor de gua lquida inicial, respectivamente. A Equao (1) no aplicada para nuvens com empuxo negativo, na qual SR seria menor que 1, o que resultaria em uma cobertura de nuvem negativa, sendo fisicamente inconsistente. Esse tipo de nuvem ocorre em situaes em que a parcela alcana o nvel de condensao por levantamento, porm no atinge o seu nvel de conveco livre. Outro problema que ( aproxima-se de zero, desaparecendo o teor de gua lquido somente se  EMBED Equation.3 , ou seja, se a nuvem apresentar empuxo inicial nulo. Para solucionar o problema, Haiden (1996) definiu uma nova razo de saturao SR. Haiden (1996) utilizou-se da quantidade de energia esttica mida h=cpT+gz+Lq no processo de decaimento pelo balano de calor, em que z a altura, g a acelerao da gravidade, L o calor latente de evaporao e cp o calor especfico do ar a presso constante. Dessa forma a razo de saturao definida como  EMBED Equation.3  e a cobertura de nuvem escrita na forma:  EMBED Equation.3  , (2) em que EMBED Equation.3 e l0 o teor de gua lquida incial. Segundo Haiden (1996), a diferena entre a cobertura de nuvem calculada atravs das Equaes (1) e (2) so ou de sinal ou de aumento com a temperatura. Para alto (baixo) teor de gua lquida inicial l0, a quantidade de nuvem dada por (2) maior (menor) que aquela determinada por (1). A Equao (2) apresenta valores de ( mais consistentes fisicamente, representando melhor as nuvens com empuxo negativo. Caracterstica do Modelo para Simulao Para a simulao, o RAMS 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 passo de 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 (Walko et al., 1995) ativada no nvel trs, considerando-se a produo de precipitao a partir da evoluo de um espectro de gotas em nuvens com caractersticas estratiformes. Dados Foram utilizados dados dirios das reanlises do modelo global do National Center for Atmospheric Research - National Center for Environmental Prediction NCAR-NCEP (Kalnay et al., 1996) durante o experimento EMAS I. Foi realizada uma simulao com incio no dia 22 de maro de 1995 para um perodo de 48 horas com dados assimilados a cada 6 horas. Este estudo tem como intuito avaliar a sensibilidade do modelo com relao a cobertura de nuvem implementada no RAMS. Descrio dos Experiementos Foram realizados dois experimentos com a finalidade de avaliar o impacto devido implementao da cobertura de nuvem na parametrizao de cmulos rasos do RAMS. No experimento ACNR, o modelo integrado com a cobertura de nuvem formulada por Albrecht (1981), dada pela Equao (1). O experimento HCNR integrado para as mesmas condies, contudo, a formulao da cobertura de nuvem utilizada a de Haiden (1996) dada pela Equao (2). RESULTADOS E DISCUSSO A Figura 2 apresenta a cobertura de nuvem rasa mdia entre 9 e 21 UTC na altura de 1035 m para o primeiro dia de integrao do experimento HCNR. Verifica-se uma boa distribuio da conveco rasa, principalmente sobre o continente. A rea para anlise da cobertura de nuvem rasa compreende todo o domnio apresentado na Figura 2. As Figuras que sero analisadas foram feitas a partir da mdia nessa rea e na altura de 1035 m.  Figura 2 Mdia temporal da cobertura de nuvem rasa para o experimento HCNR. A Figura 3 representa a mdia latitudinal da cobertura de nuvens rasas para os experimentos ACNR e HCNR, de forma que possa visualizar melhor o ciclo diurno da conveco rasa sobre o continente e oceano. No experimento ACNR (Fig. 2a), 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 30% no dia 23 em, aproximadamente, 15 UTC, 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 mais tarde, aproximadamente 10 UTC, devido ao movimento de rotao da terra o qual no permite o sol aquecer todas as longitudes ao mesmo tempo e finaliza mais tarde, depois das 21 UTC. 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 noite, logo h sempre energia suficiente para manter a formao de conveco rasa. A cobertura mdia de nuvem rasa para o experimento HCNR (Fig. 2b) apresenta uma configurao semelhante do experimento ACNR. Porm a frao de cobertura mdia mxima observada no dia 23 de 25%.  (a) (b)Figura 3 Mdia latitudinal da cobertura de nuvem rasa (em %) para os experimentos: a) ACNR b)HCNR. A Figura 4 representa o perfil vertical da cobertura de nuvem rasa mdia para os experimentos ACNR e HCNR, sendo possvel observar a profundidade da conveco rasa em ambos os experimentos. No experimento ACNR (Fig. 4a) o topo da nuvem rasa atinge uma altitude aproximada de 4000 m, e apresenta uma profundidade mxima de 3500 m enquanto que no experimento HCNR (Fig. 4b) a nuvem atinge uma profundidade de 3500 m e espessura de 3000 m. Tambm possvel observar que a cobertura de nuvem rasa mdia maior no experimento ACNR nos horrios de mxima atividade convectiva e na altura aproximada de 2000 m. No experimento ACNR observa-se valores da cobertura de nuvem rasa mdia de at 18% e 21% para os dias 22 e 23 respectivamente e no experimento HCNR esses valores so de 12% e15% para os mesmos horrios.  (a) (b)Figura 4 Perfil vertical da cobertura de nuvem rasa mdia (em %) para os experimentos: a)ACNR b)HCNR. A Figura 5 representa uma mdia da cobertura de nuvem rasa em todo o domnio para os experimentos ACNR e HCNR. Observa-se que a cobertura mdia no experimento ACNR maior que a do experimento HCNR em torno das 12 UTC nos dias 22 e 23, contudo na maior parte do tempo, a cobertura dada pelo experimento HCNR maior.  Figura 5 Cobertura de nuvem rasa mdia para o experimento ACNR (quadrado) e HCNR (crculo) Atravs da Figura 6 possvel observar a magnitude da diferena da cobertura de nuvem rasa mdia entre os experimentos HCNR e ACNR. Dessa forma, os valores negativos representam a cobertura de nuvem rasa do experimento ACNR maior que a do experimento HCNR. Isso observado durante o intervalo de 0 a 12 UTC do dia 22 e das 32 as 36 UTC do dia 23. Nos demais horrios a cobertura de nuvem rasa maior no experimento HCNR.  Figura 6 Diferena entre a cobertura de nuvem rasa mdia entre os experimentos HCNR e ACNR. CONCLUSES Estudou-se a sensibilidade do modelo RAMS a duas diferentes parametrizaes de cobertura de cmulos rasos. As principais concluses foram: H pequenas diferenas entre os esquemas de Haiden (1996) e Albrecht (1981). Em princpio, ambos poderiam ser usados. Porm, conforme comentrio de Haiden (1996), o esquema de Albrecht (1981) sob determinadas condies, pode fornecer valores negativos para a cobertura. Tal limitao pode causar erros severos quando for implementada a interao entre essas nuvens e a radiao. O contraste de cobertura entre continente e oceano bem representado no modelo, com ciclo diurno bem determinado sobre o continente. REFERNCIAs BIBLIOGRFICAs ALBRECHT, B. A., Parameterization of trade-cumulus cloud amounts. J. Atmos. Sci., 38, 97-105. 1981. Chen, C., e W. R. Cotton, A one-dimensional simulation of the stratocumulus capped mixed layer. Bound.-Lay. Met., 25, 289-321. 1983. Haiden, T., Generalization of Albrechts cumulus cloud amount parameterization. J. Atmos. Sci., 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., 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., 31, 1232-1240yy. 1974. MELLOR, G. L.; YAMADA, T., Development of a turbulence closure model geophysical fluid problems. Rev. Geop. Sp. Phys., v. 20, p. 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. Mont. W. Rev., v. 113, p. 485-501. 1985. 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., 49, 69-91. 1982. SOUZA, E. P., Estudo terico e numrico da relao entre conveco e superfcies heterogneas na regio amaznica. 121 p. Tese de Doutorado Universidade de So Paulo, So Paulo-SP. 1999. Stull, R. B., A fair-weather cumulus cloud classification scheme for mixed-layer studies. J. Climate Appl. Meteor., 24, 49-56. 1985. WALKO, R. L., COTTON, W. R., MEYERS, M. P. et al., New Rams microphysics parameterization. 1. The single moment scheme. Atmos. Res., 38, 29-62. 1995. Yanai, M. , S. Esbensen, e J. H. Chu, Determination of bulk properties of tropical cloud clusters from large-scale heat and moisture budgets. J. Atmos. Sci., 30, 611-627. 1973.  DCA/CCT/UFCG, Campina Grande, PB. E-mail: tatianefb@yahoo.com.br  DCA/CCT/UFCG, Campina Grande, PB. E-mail: cra.alcantara@ig.com.b 3 DCA/CCT/UFCG, , Campina Grande, PB. Fone: (83) 310-1202. 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