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!Environment Canada - Atmospheric Science and Technology License/Disclaimer,
! version 3; Last Modified: May 7, 2008.
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*** S/P BLCLOUD3
*
#include "phy_macros_f.h"
SUBROUTINE BLCLOUD3 (U, V, T, TVE, QV, QC, FNN, 1,11
1 S, SW, PS, DUDZ2, RI, DTHV,
1 AT2M, AT2E,
1 N, M, NK)
*
#include "impnone.cdk"
*
*
INTEGER N, M, NK
REAL U(M,NK), V(M,NK), T(M,NK), TVE(N,NK), QV(M,NK)
REAL QC(N,NK), FNN(N,NK), S(N,NK), SW(N,NK), PS(N)
REAL DUDZ2(N,NK), RI(N,NK), DTHV(N,NK)
REAL AT2M(N,NK), AT2E(N,NK)
*
*Author
* J. Mailhot (Nov 2000)
*
*Revision
* 001 A.-M. Leduc (Oct 2001) Automatic arrays
* 002 J. Mailhot (Jun 2002) Change calling sequence and rename BLCLOUD1
* 003 J. Mailhot (Feb 2003) Change calling sequence and rename BLCLOUD2
* 004 L. Spacek (Dec 2007) - add "vertical staggering" option
* 005 change the name to blcloud3
*Object
* Calculate the boundary layer buoyancy parameters (virtual potential
* temperature, buoyancy flux) and the vertical shear squared.
*
*Arguments
*
* - Input -
* U east-west component of wind
* V north-south component of wind
* T temperature (thetal when ISTEP=2)
* TVE virtual temperature on 'E' levels
* QV specific humidity (total water content QW = QV + QC)
* QC boundary layer cloud water content
* FNN flux enhancement factor (fN) * cloud fraction (N)
* S sigma levels
* PS surface pressure (in Pa)
* AT2M coefficients for interpolation of T,Q to momentum levels
* AT2E coefficients for interpolation of T,Q to energy levels
*
*
* - Output -
* DUDZ2 vertical shear of the wind squared (on 'E' levels)
* RI Richardson number - in gradient form - (on 'E' levels)
* DTHV buoyancy flux term - in gradient form - (on 'E' levels)
*
* - Input -
* N horizontal dimension
* M first dimension of U,V, T and QV
* NK vertical dimension
*
*
*Notes
* Implicit (i.e. subgrid-scale) cloudiness scheme for unified
* description of stratiform and shallow, nonprecipitating
* cumulus convection appropriate for a low-order turbulence
* model based on Bechtold et al.:
* - Bechtold and Siebesma 1998, JAS 55, 888-895
* - Cuijpers and Bechtold 1995, JAS 52, 2486-2490
* - Bechtold et al. 1995, JAS 52, 455-463
* - Bechtold et al. 1992, JAS 49, 1723-1744
* The boundary layer cloud properties (cloud fraction, cloud water
* content) are computed in the companion S/R CLSGS.
*
*
*IMPLICITS
*
#include "consphy.cdk"
*
**
*
INTEGER J, K, ITOTAL
*
*
*
**********************************************************
* AUTOMATIC ARRAYS
**********************************************************
AUTOMATIC ( THL , REAL , (N,NK) )
AUTOMATIC ( QW , REAL , (N,NK) )
AUTOMATIC ( ALPHA , REAL , (N,NK) )
AUTOMATIC ( BETA , REAL , (N,NK) )
AUTOMATIC ( A , REAL , (N,NK) )
AUTOMATIC ( B , REAL , (N,NK) )
AUTOMATIC ( C , REAL , (N,NK) )
AUTOMATIC ( DZ , REAL , (N,NK) )
AUTOMATIC ( DQWDZ , REAL , (N,NK) )
AUTOMATIC ( DTHLDZ , REAL , (N,NK) )
AUTOMATIC ( COEFTHL , REAL , (N,NK) )
AUTOMATIC ( COEFQW , REAL , (N,NK) )
AUTOMATIC ( FICELOCAL , REAL , (N,NK) )
*
**********************************************************
*
*
*MODULES
*
EXTERNAL DVRTDF,THERMCO2,FICEMXP
*
*------------------------------------------------------------------------
*
*
*
* 0. Preliminaries
* --------------------
*
*
CALL FICEMXP(FICELOCAL,A,B,T,N,N,NK)
*
*
* 1. Thermodynamic coefficients
* ---------------------------------
*
*
CALL THERMCO2 (T, QV, QC, SW, PS, T, FICELOCAL, FNN,
1 THL, QW, A, B, C, ALPHA, BETA,
1 0, .TRUE., N, M, NK)
*
* 2. The buoyant parameters,
* (cf. BS 1998 eq. 4)
DO K=1,NK
DO J=1,N
* put thv in DUDZ2 temporarily
DUDZ2(J,K) = THL(J,K) + ALPHA(J,K)*QW(J,K) + BETA(J,K)*QC(J,K)
COEFTHL(J,K) = 1.0 + DELTA*QW(J,K)
1 - BETA(J,K)*B(J,K)*FNN(J,K)
COEFQW(J,K) = ALPHA(J,K) + BETA(J,K)*A(J,K)*FNN(J,K)
END DO
END DO
*
*
*
*
* 3. Vertical derivative of THL and QW
* ----------------------------------------
*
DO K=1,NK-1
DO J=1,N
DZ(J,K) = -RGASD*TVE(J,K)*ALOG( S(J,K+1)/S(J,K) ) / GRAV
END DO
END DO
*
DO J=1,N
DZ(J,NK) = 0.0
END DO
*
CALL TOTHERMO(THL, THL, AT2M,AT2M,N,NK+1,NK,.false.)
CALL TOTHERMO(QW, QW, AT2M,AT2M,N,NK+1,NK,.false.)
CALL DVRTDF ( DTHLDZ, THL, DZ, N, N, N, NK)
CALL DVRTDF ( DQWDZ, QW, DZ, N, N, N, NK)
*
*
* 4. The buoyancy flux and vertical shear squared
* -----------------------------------------------------------------------
*
*
!
CALL TOTHERMO(COEFTHL, COEFTHL, AT2E,AT2E,N,NK+1,NK,.true.)
CALL TOTHERMO(COEFQW, COEFQW, AT2E,AT2E,N,NK+1,NK,.true.)
CALL TOTHERMO(DUDZ2, DUDZ2, AT2E,AT2E,N,NK+1,NK,.true.)
!
DO K=1,NK-1
DO J=1,N
* coefficients on 'E' levels
DTHV(J,K) = ( COEFTHL(J,K)*DTHLDZ(J,K)
1 + COEFQW(J,K)*DQWDZ(J,K) )
1 * ( GRAV / DUDZ2(J,K) )
END DO
END DO
*
DO J=1,N
DTHV(J,NK) = 0.0
END DO
*
* vertical shear squared
CALL DVRTDF ( A, U, DZ, N, N, M, NK)
CALL DVRTDF ( B, V, DZ, N, N, M, NK)
*
DO K=1,NK
DO J=1,N
DUDZ2(J,K) = A(J,K)**2 + B(J,K)**2
RI(J,K) = DTHV(J,K)/(DUDZ2(J,K)+1.E-6)
END DO
END DO
*
DO J=1,N
RI(J,NK) = 0.0
END DO
*
*
RETURN
END