FUNCTION VORTICITY,VX,VY ;+ ; NAME: ; VORTICITY ; ; PURPOSE: ; Make VORTICITY of a 2-D velocity map. ; ; CALLING SEQUENCE: ; Result = VORTICITY(VX,VY) ; ; INPUTS: ; VX & VY = X and Y component of the 2-D velocity map. ; ; OUTPUTS: ; Result = vorticity of velocity vector, given by: ; D(Vy)/Dx - D(Vx)/Dy ; ; RESTRICTIONS: ; None. ; ; SIDE EFFECTS: ; None. ; ; COMMON BLOCKS: ; None. ; ; PROCEDURE: ; Straightforward. It makes a numerical differentiation using a ; 3 point lagrangian interpolation. ; ; MODIFICATION HISTORY: ; Written by Roberto Luis Molowny Horas, March 1992. ;- ; ON_ERROR,2 IF N_PARAMS(0) NE 2 THEN MESSAGE,'Wrong number of input parameters' ss = SIZE(vx) IF ss(1) NE N_ELEMENTS(vy(*,0)) OR ss(2) NE N_ELEMENTS(vy(0,*)) THEN $ MESSAGE,'Dimensions of input arrays must be equal' vor = SHIFT(vy,-1,0) - SHIFT(vy,1,0) ;Derivative in X. vor(0,0) = -3.*vy(0,*) + 4.*vy(1,*) - vy(2,*) n = ss(1) vor(n-1,0) = 3.*vy(n-1,*) - 4.*vy(n-2,*) + vy(n-3,*) vor = TEMPORARY(vor) - SHIFT(vx,0,-1) + SHIFT(vx,0,1) ;Derivative in Y. vor(0,0) = - (-3.*vx(*,0) + 4.*vx(*,1) - vx(*,2)) n = ss(2) vor(0,n-1) = - (3.*vx(*,n-1) - 4.*vx(*,n-2) + vx(*,n-3)) vor = TEMPORARY(vor)/2. ;Don't forget RETURN,vor END