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3.b. Circulation structure of convection
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    Figure 4 shows the circulation 
	fields of thermal convection of the dust-free case 
        (See also Appendix D
	 for the results with a shorter output time interval). 
    It is revealed that the obtained thermal convection
	is km-size; the maximum vertical 
	and horizontal scales of convective cells are 10 km and 
	several km, respectively. 
    The aspect ratio of convective cell 
	estimated by the depth of convection layer and
	the horizontal interval of ascending convective plumes
	is about 2 to 1. 
    The magnitude of potential temperature deviation 
	associated with convective plumes is about 1 to 2 K in
	the morning, and 2 to 3 K in the afternoon. 
    The average width of ascending convective plumes is about
	several hundreds meters; it reaches almost 1 km in the
	afternoon when convection is fully developed. 
     
    
    
    In the stratosphere, periodic patterns of potential
	temperature deviation is observed. 
    They are caused by internal gravity waves which are generated
	by the penetration of convective plumes into the
	stratosphere. 
    Turbulent diffusion coefficient in the stratosphere shows 
	patterns similar to those of potential
	temperature deviation. 
    This suggests that there occurs gravity wave breaking 
	caused by unstable stratification. 
     
    
    
    The area of an updraft is of the same order of that of a 
	downdraft, and their intensities are also similar.
    Both values of horizontal and vertical wind velocities 
	often exceed 20 msec-1.
    Positive potential temperature deviation in the updraft 
	can be seen within a small area around the center of 
	the ascending motion. 
    Positive potential temperature deviation in the downdraft 
	is a mark of an ex-plume of positive potential 
	temperature deviation which once ascended to 
	the stratosphere, and is now pushed aside and forced 
	to descend by the successive convective plumes from the 
	surface. 
    Some of the fragments of the compulsorily descending plumes
	are accompanied with a vortex circulation structure. 
    Owing to those plume motions, 
	the convection layer is efficiently mixed. 
     
    
    
    The magnitude of the wind velocity associated with convection 
	is of the order of the amount which is evaluated from the
	free acceleration due to the buoyancy force acting on an
	ascending convective plume.
    It can be estimated as 
     
	
	
	
	
	 
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	(1) |  
	 
	
	 
    Where   is the estimated magnitude of 
	wind velocity, 
	  is gravitational acceleration,
	  is horizontal mean potential
	temperature, 
	  is potential temperature
	deviation from  , 
	and 
	  is depth of convection layer. 
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