geom.F

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!||====================================================================
!||    geom                            ../engine/source/ale/alemuscl/geom.F
!||--- called by ------------------------------------------------------
!||    ale51_gradient_reconstruction   ../engine/source/ale/alemuscl/ale51_gradient_reconstruction.F
!||    centroid3t                      ../engine/source/multifluid/centroid.F
!||====================================================================
      SUBROUTINE geom(A, B, C, CENTER_X,CENTER_Y,CENTER_Z, VOL)
C-----------------------------------------------
C   I m p l i c i t   T y p e s
C-----------------------------------------------
#include "implicit_f.inc"  
C-----------------------------------------------
C   D u m m y   A r g u m e n t s
C----------------------------------------------- 
      my_real, INTENT(IN) :: a(3), b(3), c(3)
      my_real, INTENT(INOUT) :: center_x,center_y,center_z, vol
C-----------------------------------------------
C   L o c a l   V a r i a b l e s
C-----------------------------------------------
      my_real :: norm(3), ab, bc, ca
C-----------------------------------------------
C   S o u r c e   L i n e s 
C-----------------------------------------------
 
      norm(1) = (b(2) - a(2)) * (c(3) - a(3)) - (b(3) - a(3)) * (c(2) - a(2))
      norm(2) = (b(3) - a(3)) * (c(1) - a(1)) - (b(1) - a(1)) * (c(3) - a(3))
      norm(3) = (b(1) - a(1)) * (c(2) - a(2)) - (b(2) - a(2)) * (c(1) - a(1))
      
      vol = vol + dot_product(a, norm)
      
      ab = dot_product(half * (a + b), half * (a + b))
      bc = dot_product(half * (b + c), half * (b + c))
      ca = dot_product(half * (c + a), half * (c + a))
 
      center_x = center_x + norm(1) * (ab + bc + ca)
      center_y = center_y + norm(2) * (ab + bc + ca)
      center_z = center_z + norm(3) * (ab + bc + ca)
 
C-----------------------------------------------      
      END SUBROUTINE geom