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C $Header: /u/gcmpack/models/MITgcmUV/model/inc/GRID.h,v 1.14.2.3 2001/03/30 22:44:04 jmc Exp $ |
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C $Name: $ |
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C |
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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 | ======================================= | |
| 93 |
C | This diagram shows the location of the model | |
| 94 |
C | prognostic variables on the model grid. The "T" | |
| 95 |
C | location is used for all tracers. The figure also | |
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C | shows the upper most, western most indexing | |
| 97 |
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 | | rVel(i=1, | rVel(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 | | rVel(i=1, | rVel(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 | | rVel(i=1, | rVel(i=Nx, * | | |
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C | | j=1, | j=1, * | | |
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C | | k=Nr) | k=Nr) * | | |
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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=Nr)| j=1, | k=Nr) j=1, * |j=1, | |
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C | | k=Nr) | k=Nr) * |k=Nr)| |
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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 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 | Note: r => height (m) => r increases upwards | |
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C | r => pressure (Pa) => r increases downwards | |
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C | | |
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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 | rVel: z-velocity ( units of r ) | |
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C | The vertical velocity variable rVel is in units of | |
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C | "r" the vertical coordinate. r in m will give | |
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C | rVel m/s. r in Pa will give rVel Pa/s. | |
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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 | | | |
| 237 |
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 | |
| 242 |
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 | . . | |
| 257 |
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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|
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C Macros that override/modify standard definitions |
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#include "GRID_MACROS.h" |
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|
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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) |
| 300 |
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 drC - Cell center separation along Z axis ( units of r ). |
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C drF - Cell face separation along Z axis ( units of r ). |
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C Rcolumn -Total thickness (in r_unit) of the fluid column |
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C R_low - base of fluid in r_unit (Depth(m) / Pressure(Pa) at top Atmos.) |
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C Ro_surf- surface reference (at rest) position, r_unit. |
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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 rkFac - Vertical coordinate to vertical index orientation. |
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C ( -1 same orientation, 1 opposite orientation ) |
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C ( vertical coord == m -> rkFac = 1 ) |
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C ( vertical coord == Pa -> rkFac = -1 ) |
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C maskC - cell Center land mask |
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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 recip_dxC - Recipricol of dxC |
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C recip_dxG - Recipricol of dxG |
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C recip_dxF - Recipricol of dxF |
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C recip_dxV - Recipricol of dxV |
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C recip_dyC - Recipricol of dxC |
| 327 |
C recip_dyG - Recipricol of dyG |
| 328 |
C recip_dyF - Recipricol of dyF |
| 329 |
C recip_dyU - Recipricol of dyU |
| 330 |
C recip_drC - Recipricol of drC |
| 331 |
C recip_drF - Recipricol of drF |
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C recip_Rcol - Inverse of cell center column thickness (1/r_unit) |
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C recip_hFacC - Inverse of cell open-depth f[X,Y,Z] ( dimensionless ). |
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C recip_hFacW rhFacC center, rhFacW west, rhFacS south. |
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C recip_hFacS Note: This is precomputed here because it involves division. |
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C saFac - Shallow atmosphere factor (dimensionless scale factor). |
| 337 |
C xC - X-coordinate of center of cell f[X,Y]. The units of xc, yc |
| 338 |
C depend on the grid. They are not used in differencing or |
| 339 |
C averaging but are just a convient quantity for I/O, |
| 340 |
C diagnostics etc.. As such xc is in m for cartesian |
| 341 |
C coordinates but degrees for spherical polar. |
| 342 |
C yC - Y-coordinate of center of cell f[X,Y]. |
| 343 |
C yG - Y-coordinate of corner of cell ( c-grid vorticity point) f[X,Y]. |
| 344 |
C xC0, yC0 - West edge x coord ( metres or degrees ) |
| 345 |
C South edge y coord ( metres or degrees ) |
| 346 |
C rA - R-face are f[X,Y] ( m^2 ). |
| 347 |
C Note: In a cartesian framework zA is simply dx*dy, |
| 348 |
C however we use zA to allow for non-globally |
| 349 |
C orthogonal coordinate frames (with appropriate |
| 350 |
C metric terms). |
| 351 |
C rC - R-coordinate of center of cell f[Z] (units of r). |
| 352 |
C rF - R-coordinate of face of cell f[Z] (units of r). |
| 353 |
C tanPhiAtU - tan of the latitude at U point. Used for spherical polar |
| 354 |
C metric term in U equation. |
| 355 |
C tanPhiAtV - tan of the latitude at V point. Used for spherical polar |
| 356 |
C metric term in V equation. |
| 357 |
COMMON /GRID_R/ |
| 358 |
& dxC,dxF,dxG,dxV,dyC,dyF,dyG,dyU, |
| 359 |
& R_low,Ro_surf,HFacC,HFacW,HFacS, |
| 360 |
& recip_dxC,recip_dxF,recip_dxG,recip_dxV, |
| 361 |
& recip_dyC,recip_dyF,recip_dyG,recip_dyU, |
| 362 |
& recip_Rcol, |
| 363 |
& recip_hFacC,recip_hFacW,recip_hFacS, |
| 364 |
& saFac, |
| 365 |
& xC,yC,rA,rAw,rAs,rAz,xG,yG, |
| 366 |
& maskC,maskW,maskS,recip_rA,recip_rAw,recip_rAs,recip_rAz, |
| 367 |
& tanPhiAtU, tanPhiAtV, |
| 368 |
& cosfacU,cosfacV,sqcosfacU,sqcosfacV, |
| 369 |
& drC,drF,recip_drC,recip_drF,rC,rF, |
| 370 |
& rkFac, recip_rkFac, xC0, yC0 |
| 371 |
_RS dxC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 372 |
_RS dxF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 373 |
_RS dxG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 374 |
_RS dxV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 375 |
_RS dyC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 376 |
_RS dyF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 377 |
_RS dyG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 378 |
_RS dyU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 379 |
_RS R_low (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 380 |
_RS Ro_surf (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 381 |
_RS HFacC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 382 |
_RS HFacW (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 383 |
_RS HFacS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 384 |
_RS recip_dxC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 385 |
_RS recip_dxF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 386 |
_RS recip_dxG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 387 |
_RS recip_dxV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 388 |
_RS recip_dyC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 389 |
_RS recip_dyF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 390 |
_RS recip_dyG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 391 |
_RS recip_dyU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 392 |
_RS recip_Rcol (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 393 |
_RS recip_hFacC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 394 |
_RS recip_hFacW (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 395 |
_RS recip_hFacS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 396 |
_RS xC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 397 |
_RS xG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 398 |
_RS yC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 399 |
_RS yG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 400 |
_RS rA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 401 |
_RS rAw (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 402 |
_RS rAs (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 403 |
_RS rAz (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 404 |
_RS recip_rA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 405 |
_RS recip_rAw (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 406 |
_RS recip_rAs (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 407 |
_RS recip_rAz (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 408 |
_RS maskC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 409 |
_RS maskW (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 410 |
_RS maskS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 411 |
_RS tanPhiAtU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 412 |
_RS tanPhiAtV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 413 |
_RL cosfacU(1-Oly:sNy+Oly,nSx,nSy) |
| 414 |
_RL cosfacV(1-Oly:sNy+Oly,nSx,nSy) |
| 415 |
_RL sqcosfacU(1-Oly:sNy+Oly,nSx,nSy) |
| 416 |
_RL sqcosfacV(1-Oly:sNy+Oly,nSx,nSy) |
| 417 |
_RS drC (1:Nr) |
| 418 |
_RS drF (1:Nr) |
| 419 |
_RS recip_drC (1:Nr) |
| 420 |
_RS recip_drF (1:Nr) |
| 421 |
_RS saFac (1:Nr) |
| 422 |
_RS rC (1:Nr) |
| 423 |
_RS rF (1:Nr+1) |
| 424 |
_RS rkFac |
| 425 |
_RS recip_rkFac |
| 426 |
_RS xC0 |
| 427 |
_RS yC0 |
| 428 |
|
| 429 |
#ifdef ALLOW_NONHYDROSTATIC |
| 430 |
COMMON /GRID_NH/ |
| 431 |
& recip_hFacU |
| 432 |
_RS recip_hFacU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 433 |
#endif |
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