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FDS Source: add analytical solutions for certain cases of CONE_MESH_I… #14178

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Merged
ericvmueller merged 1 commit into from
Feb 6, 2025
Merged

FDS Source: add analytical solutions for certain cases of CONE_MESH_I… #14178

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31 changes: 26 additions & 5 deletions Source/func.f90
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Original file line number Diff line number Diff line change
Expand Up @@ -9436,7 +9436,8 @@ REAL(EB) FUNCTION CONE_MESH_INTERSECTION_VOLUME(NM,X0,Y0,Z0,RR0,RRI,HH0,G_FACTOR
INTEGER, INTENT(IN) :: NM,G_FACTOR
REAL(EB), INTENT(IN) :: X0,Y0,Z0,RR0,RRI,HH0
INTEGER :: I,J,K,NX,NY,NZ
REAL(EB) :: XX,YY,ZZ,R2,X_MIN,X_MAX,Y_MIN,Y_MAX,Z_MIN,Z_MAX,DX,DY,DZ,SHORT_DIMENSION
REAL(EB) :: XX,YY,ZZ,R2,X_MIN,X_MAX,Y_MIN,Y_MAX,Z_MIN,Z_MAX,DX,DY,DZ,SHORT_DIMENSION,&
OUTER_BASE_AREA,INNER_BASE_AREA,HH_IN,RR0_BASE,RRI_BASE,RR0_TOP,RRI_TOP
TYPE (MESH_TYPE), POINTER :: M

CONE_MESH_INTERSECTION_VOLUME = 0._EB
Expand All @@ -9448,18 +9449,38 @@ REAL(EB) FUNCTION CONE_MESH_INTERSECTION_VOLUME(NM,X0,Y0,Z0,RR0,RRI,HH0,G_FACTOR
Y_MAX = MIN(M%YF,Y0+RR0)
Z_MIN = MAX(M%ZS,Z0)
Z_MAX = MIN(M%ZF,Z0+HH0)
HH_IN = Z_MAX-Z_MIN

! Case 1: volume fully outside the mesh
IF (X_MAX<=X_MIN .OR. Y_MAX<=Y_MIN .OR. Z_MAX<=Z_MIN) RETURN

! Case 2: base area fully inside the mesh
IF ((X_MIN-M%XS)>TWO_EPSILON_EB .AND. (M%XF-X_MAX)>TWO_EPSILON_EB &
.AND. (Y_MIN-M%YS)>TWO_EPSILON_EB .AND. (M%YF-Y_MAX)>TWO_EPSILON_EB &
.AND. (Z_MIN-M%ZS)>TWO_EPSILON_EB .AND. (M%ZF-Z_MAX)>TWO_EPSILON_EB) THEN
.AND. (Y_MIN-M%YS)>TWO_EPSILON_EB .AND. (M%YF-Y_MAX)>TWO_EPSILON_EB) THEN
IF (G_FACTOR==0) THEN
CONE_MESH_INTERSECTION_VOLUME = PI*(RR0**2._EB-RRI**2._EB)*HH0
! Subtract inner from outer cylinder volume
CONE_MESH_INTERSECTION_VOLUME = PI*(RR0**2._EB-RRI**2._EB)*HH_IN
ELSEIF (G_FACTOR==1) THEN
CONE_MESH_INTERSECTION_VOLUME = PI*(RR0**2._EB-RRI**2._EB)*HH0/3._EB
RR0_BASE = RR0*(1-(Z_MIN-Z0)/HH0)
RRI_BASE = RRI*(1-(Z_MIN-Z0)/HH0)
RR0_TOP = RR0*(1-(Z_MAX-Z0)/HH0)
RRI_TOP = RRI*(1-(Z_MAX-Z0)/HH0)
! Subtract inner from outer truncated cone volume
CONE_MESH_INTERSECTION_VOLUME = PI*HH_IN/3._EB*&
(RR0_BASE**2._EB+RR0_BASE*RR0_TOP+RR0_TOP**2._EB-RRI_BASE**2._EB-RRI_BASE*RRI_TOP-RRI_TOP**2._EB)
ENDIF
RETURN
ENDIF

! Case 3: partial hollow cylinder intersection volume
IF (G_FACTOR==0) THEN
OUTER_BASE_AREA = CIRCLE_CELL_INTERSECTION_AREA(X0,Y0,RR0,M%XS,M%XF,M%YS,M%YF)
INNER_BASE_AREA = CIRCLE_CELL_INTERSECTION_AREA(X0,Y0,RRI,M%XS,M%XF,M%YS,M%YF)
CONE_MESH_INTERSECTION_VOLUME = (OUTER_BASE_AREA-INNER_BASE_AREA)*HH_IN
RETURN
ENDIF

! Case 4: partial hollow cone intersection volume (numerical integration)
SHORT_DIMENSION = MIN(X_MAX-X_MIN,Y_MAX-Y_MIN,Z_MAX-Z_MIN)
! Limit resolution length scale
SHORT_DIMENSION = MAX(SHORT_DIMENSION, 0.1_EB*MIN(M%DXMIN,M%DYMIN,M%DZMIN))
Expand Down