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C $Id$ |
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C /==========================================================\ |
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C | GRID.h | |
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C | o Header file defining model grid. | |
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C |==========================================================| |
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C | Model grid is defined for each process by reference to | |
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C | the arrays set here. | |
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C | Notes | |
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C | ===== | |
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C | The standard MITgcm convention of westmost, southern most| |
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C | and upper most having the (1,1,1) index is used here. | |
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C | i.e. | |
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C |----------------------------------------------------------| |
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C | (1) Plan view schematic of model grid (top layer i.e. ) | |
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C | ================================= ( ocean surface ) | |
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C | ( or top of ) | |
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C | ( atmosphere ) | |
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C | This diagram shows the location of the model | |
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C | prognostic variables on the model grid. The "T" | |
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C | location is used for all tracers. The figure also | |
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C | shows the southern most, western most indexing | |
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C | convention that is used for all model variables. | |
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C | | |
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C | | |
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C | V(i=1, V(i=Nx, | |
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C | j=Ny+1, j=Ny+1, | |
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C | k=1) k=1) | |
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C | /|\ /|\ "PWX" | |
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C | |---------|------------------etc.. |---- *--- | |
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C | | | * | | |
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C |"PWY"*******************************etc.. **********"PWY"| |
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C | | | * | | |
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C | | | * | | |
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C | | | * | | |
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C |U(i=1, ==> x | x *==>U | |
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C | j=Ny,| T(i=1, | T(i=Nx, *(i=Nx+1,| |
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C | k=1) | j=Ny, | j=Ny, * |j=Ny,| |
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C | | k=1) | k=1) * |k=1) | |
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C | | |
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C | . . . | |
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C | . . . | |
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C | . . . | |
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C | e e * e | |
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C | t t * t | |
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C | c c * c | |
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C | | | * | | |
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C | | | * | | |
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C |U(i=1, ==> x | x * | | |
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C | j=2, | T(i=1, | T(i=Nx, * | | |
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C | k=1) | j=2, | j=2, * | | |
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C | | k=1) | k=1) * | | |
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C | | | * | | |
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C | | /|\ | /|\ * | | |
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C | -----------|------------------etc.. |-----*--- | |
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C | | V(i=1, | V(i=Nx, * | | |
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C | | j=2, | j=2, * | | |
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C | | k=1) | k=1) * | | |
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C | | | * | | |
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C |U(i=1, ==> x ==>U(i=2, x *==>U | |
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C | j=1, | T(i=1, | j=1, T(i=Nx, *(i=Nx+1,| |
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C | k=1) | j=1, | k=1) j=1, * |j=1, | |
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C | | k=1) | k=1) * |k=1) | |
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C | | | * | | |
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C | | /|\ | /|\ * | | |
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C |"SB"++>|---------|------------------etc.. |-----*--- | |
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C | /+\ V(i=1, V(i=Nx, * | |
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C | + j=1, j=1, * | |
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C | + k=1) k=1) * | |
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C | "WB" "PWX" | |
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C | | |
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C | N, y increasing northwards | |
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C | /|\ j increasing northwards | |
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C | | | |
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C | | | |
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C | ======>E, x increasing eastwards | |
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C | i increasing eastwards | |
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C | | |
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C | i: East-west index | |
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C | j: North-south index | |
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C | k: up-down index | |
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C | U: x-velocity (m/s) | |
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C | V: y-velocity (m/s) | |
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C | T: potential temperature (oC) | |
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C | "SB": Southern boundary | |
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C | "WB": Western boundary | |
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C |"PWX": Periodic wrap around in X. | |
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C |"PWY": Periodic wrap around in Y. | |
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C |----------------------------------------------------------| |
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C | (2) South elevation schematic of model grid | |
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C | ======================================= | |
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C | This diagram shows the location of the model | |
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C | prognostic variables on the model grid. The "T" | |
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C | location is used for all tracers. The figure also | |
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C | shows the upper most, western most indexing | |
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C | convention that is used for all model variables. | |
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C | | |
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C | "WB" | |
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C | + | |
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C | + | |
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C | \+/ | | | |
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C |"UB"++>|--------\|/-----------------etc.. \|/----*--- | |
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C | | w,om(i=1, | w,om(i=Nx, * | | |
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C | | j=1, | j=1, * | | |
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C | | k=1) | k=1) * | | |
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C | | | * | | |
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C |U(i=1, ==> x ==>U(i=2, x *==>U | |
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C | j=1, | T(i=1, | j=1, T(i=Nx, *(i=Nx+1,| |
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C | k=1) | j=1, | k=1) j=1, * |j=1, | |
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C | | k=1) | k=1) * |k=1) | |
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C | | | * | | |
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C | | | | | * | | |
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C | |--------\|/-----------------etc.. \|/----*--- | |
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C | | w,om(i=1, | w,om(i=Nx, * | | |
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C | | j=1, | j=1, * | | |
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C | | k=2) | k=2) * | | |
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C | | |
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C | . . . | |
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C | . . . | |
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C | . . . | |
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C | e e * e | |
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C | t t * t | |
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C | c c * c | |
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C | | | * | | |
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C | | | * | | |
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C | | | * | | |
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C | | | * | | |
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C | | | | | * | | |
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C | |--------\|/-----------------etc.. \|/----*--- | |
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C | | w,om(i=1, | w,om(i=Nx, * | | |
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C | | j=1, | j=1, * | | |
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C | | k=Nz) | k=Nz) * | | |
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C |U(i=1, ==> x ==>U(i=2, x *==>U | |
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C | j=1, | T(i=1, | j=1, T(i=Nx, *(i=Nx+1,| |
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C | k=Nz)| j=1, | k=Nz) j=1, * |j=1, | |
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C | | k=Nz) | k=Nz) * |k=Nz)| |
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C | | | * | | |
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C |"LB"++>============================================== | |
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C | "PWX" | |
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C | | |
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C | Up,z increasing upwards. | |
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C |/|\ | |
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C | | | |
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C | | | |
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C | =====> E i increasing eastwards | |
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C | | x increasing eastwards | |
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C | | | |
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C |\|/ | |
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C | Down,k increasing downwards. | |
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C | | |
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C | i: East-west index | |
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C | j: North-south index | |
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C | k: up-down index | |
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C | U: x-velocity (m/s) | |
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C | w,om: z-velocity (Pa/s - therefore +ve is down) | |
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C | The vertical velocity variable is sometimes named | |
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C | "w" in the model code. The vertical coordinate and | |
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C | also gridding are both under review - watch this | |
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C | space! | |
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C | T: potential temperature (oC) | |
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C | "UB": Upper boundary. | |
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C | "LB": Lower boundary (always solid - therefore om|w == 0)| |
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C | "WB": Western boundary | |
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C |"PWX": Periodic wrap around in X. | |
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C |----------------------------------------------------------| |
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C | (3) Views showing nomenclature and indexing | |
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C | for grid descriptor variables. | |
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C | | |
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C | Fig 3a. shows the orientation, indexing and | |
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C | notation for the grid spacing terms used internally | |
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C | for the evaluation of gradient and averaging terms. | |
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C | These varaibles are set based on the model input | |
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C | parameters which define the model grid in terms of | |
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C | spacing in X, Y and Z. | |
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C | | |
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C | Fig 3b. shows the orientation, indexing and | |
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C | notation for the variables that are used to define | |
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C | the model grid. These varaibles are set directly | |
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C | from the model input. | |
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C | | |
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C | Figure 3a | |
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C | ========= | |
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C | |------------------------------------ | |
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C | | | | |
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C |"PWY"********************************* etc... | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | |
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C | . . | |
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C | . . | |
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C | . . | |
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C | e e | |
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C | t t | |
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C | c c | |
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C | |-----------v-----------|-----------v----------|- | |
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C | | | | | |
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C | | | | | |
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C | | | | | |
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C | | | | | |
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C | | | | | |
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C | u<--dxF(i=1,j=2,k=1)--->u t | | |
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C | |/|\ /|\ | | | |
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C | | | | | | | |
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C | | | | | | | |
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C | | | | | | | |
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C | |dyU(i=1, dyC(i=1, | | | |
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C | --- ---|--j=2,---|--j=2,-----------------v----------|- | |
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C | /|\ | | k=1) | k=1) | /|\ | | |
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C | | | | | | dyF(i=2, | | |
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C | | | | | | | j=1, | | |
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C |dyG( |\|/ \|/ | | k=1) | | |
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C | i=1,u--- t<---dxC(i=2,j=1,k=1)-->t | | |
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C | j=1,| | | | | |
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C | k=1)| | | | | |
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C | | | | | | | |
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C | | | | | | | |
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C | \|/ | |<---dxV(i=2,j=1,k=1)--\|/ | | |
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C |"SB"++>|___________v___________|___________v__________|_ | |
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C | <--dxG(i=1,j=1,k=1)-----> | |
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C | /+\ | |
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C | + | |
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C | + | |
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C | "WB" | |
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C | | |
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C | N, y increasing northwards | |
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C | /|\ j increasing northwards | |
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C | | | |
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C | | | |
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C | ======>E, x increasing eastwards | |
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C | i increasing eastwards | |
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C | | |
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C | i: East-west index | |
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C | j: North-south index | |
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C | k: up-down index | |
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C | u: x-velocity point | |
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C | V: y-velocity point | |
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C | t: tracer point | |
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C | "SB": Southern boundary | |
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C | "WB": Western boundary | |
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C |"PWX": Periodic wrap around in X. | |
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C |"PWY": Periodic wrap around in Y. | |
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C | | |
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C | Figure 3b | |
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C | ========= | |
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C | | |
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C | . . | |
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C | . . | |
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C | . . | |
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C | e e | |
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C | t t | |
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C | c c | |
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C | |-----------v-----------|-----------v--etc... | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | u<--delX(i=1)---------->u t | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | |-----------v-----------------------v--etc... | |
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C | | /|\ | | |
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C | | | | | |
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C | | | | | |
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C | | | | | |
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C | u delY(j=1) | t | |
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C | | | | | |
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C | | | | | |
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C | | | | | |
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C | | | | | |
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C | | \|/ | | |
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C |"SB"++>|___________v___________|___________v__etc... | |
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C | /+\ | |
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C | + | |
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C | + | |
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C | "WB" | |
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C | | |
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C \==========================================================/ |
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C |
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C-- COMMON /GRID_R/ REAL valued grid defining variables. |
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C dxC - Cell center separation in X across western cell wall (m) |
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C dxG - Cell face separation in X along southern cell wall (m) |
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C dxF - Cell face separation in X thru cell center (m) |
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C dxV - V-point separation in X across south-west corner of cell (m) |
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C dyC - Cell center separation in Y across southern cell wall (m) |
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C dyG - Cell face separation in Y along western cell wall (m) |
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C dyF - Cell face separation in Y thru cell center (m) |
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C dyU - U-point separation in Y across south-west corner of cell (m) |
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C dzC - Cell center separation in Z (Pa). |
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C dzF - Cell face separation in Z (Pa). |
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C H - Depth of base of fluid from upper surface f[X,Y] (m). |
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C hFac - Fraction of cell in vertical which is open i.e how |
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C "lopped" a cell is (dimensionless scale factor). |
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C Note: The code needs terms like MIN(hFac,hFac(I+1)) |
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C On some platforms it may be better to precompute |
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C hFacW, hFacE, ... here than do MIN on the fly. |
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C maskW - West face land mask |
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C maskS - South face land mask |
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C rdxC - Recipricol of dxC |
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C rdxG - Recipricol of dxG |
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C rdxF - Recipricol of dxF |
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C rdxV - Recipricol of dxV |
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C rdyC - Recipricol of dxC |
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C rdyG - Recipricol of dyG |
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C rdyF - Recipricol of dyF |
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C rdyU - Recipricol of dyU |
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C rdzC - Recipricol of dzC |
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C rdzF - Recipricol of dzF |
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C rh - Inverse of cell center open-depth |
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C rhFacC - Inverse of cell open-depth f[X,Y,Z] ( dimensionless ). |
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C rhFacW rhFacC center, rhFacW west, rhFacS south. |
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C rhFacS Note: This is precomputed here because it involves division. |
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C saFac - Shallow atmosphere factor (dimensionless scale factor). |
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C xC - X-coordinate of center of cell f[X,Y]. The units of xc, yc |
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C depend on the grid. They are not used in differencing or |
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C averaging but are just a convient quantity for I/O, |
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C diagnostics etc.. As such xc is in m for cartesian |
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C coordinates but degrees for spherical polar. |
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C yC - Y-coordinate of center of cell f[X,Y]. |
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C zA - Z-face are f[X,Y] (m^2). |
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C Note: In a cartesian framework zA is simply dx*dy, |
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C however we use zA to allow for non-globally |
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C orthogonal coordinate frames (with appropriate |
| 332 |
|
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C metric terms). |
| 333 |
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C zC - Z-coordinate of center of cell f[Z] |
| 334 |
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C zFace - Z-coordinate of face of cell f[Z] (Pa). |
| 335 |
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COMMON /GRID_R/ |
| 336 |
|
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& dxC,dxF,dxG,dxV,dyC,dyF,dyG,dyU,dzC,dzF, |
| 337 |
|
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& H,HFacC,HFacW,HFacS, |
| 338 |
|
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& rdxC,rdxF,rdxG,rdxV,rdyC,rdyF,rdyG,rdyU,rdzC,rdzF, |
| 339 |
|
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& rH, rhFacC,rhFacW,rhFacS, |
| 340 |
|
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& saFac,xC,yC,zA,zC,zFace, |
| 341 |
|
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& maskW,maskS |
| 342 |
|
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real dxC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 343 |
|
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real dxF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 344 |
|
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real dxG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 345 |
|
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real dxV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 346 |
|
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real dyC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 347 |
|
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real dyF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 348 |
|
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real dyG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 349 |
|
|
real dyU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 350 |
|
|
real dzC (1:Nz) |
| 351 |
|
|
real dzF (1:Nz) |
| 352 |
|
|
real H (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 353 |
|
|
real HFacC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nz,nSx,nSy) |
| 354 |
|
|
real HFacW (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nz,nSx,nSy) |
| 355 |
|
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real HFacS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nz,nSx,nSy) |
| 356 |
|
|
real rdxC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 357 |
|
|
real rdxF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 358 |
|
|
real rdxG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 359 |
|
|
real rdxV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 360 |
|
|
real rdyC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 361 |
|
|
real rdyF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 362 |
|
|
real rdyG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 363 |
|
|
real rdyU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 364 |
|
|
real rdzC (1:Nz) |
| 365 |
|
|
real rdzF (1:Nz) |
| 366 |
|
|
real rh (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 367 |
|
|
real rhFacC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nz,nSx,nSy) |
| 368 |
|
|
real rhFacW (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nz,nSx,nSy) |
| 369 |
|
|
real rhFacS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nz,nSx,nSy) |
| 370 |
|
|
real saFac (1:Nz) |
| 371 |
|
|
real xC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 372 |
|
|
real yC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 373 |
|
|
real zA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 374 |
|
|
real zC (1:Nz) |
| 375 |
|
|
real zFace (1:Nz+1) |
| 376 |
|
|
real maskW (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nz,nSx,nSy) |
| 377 |
|
|
real maskS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nz,nSx,nSy) |
| 378 |
|
|
|
| 379 |
|
|
|
| 380 |
|
|
C-- COMMON /GRID_I/ Integer valued grid defining variables |
| 381 |
|
|
C iDep - Index of last "non-land" cell for each column f[X,Y]. |
| 382 |
|
|
COMMON /GRID_I/ |
| 383 |
|
|
& iDep |
| 384 |
|
|
INTEGER iDep(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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