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1.10 |
C $Header: /u/gcmpack/models/MITgcmUV/model/inc/GRID.h,v 1.9 1998/09/08 01:37:49 cnh Exp $ |
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1.1 |
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 | ======================================= | |
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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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1.5 |
C | \+/ /|\ /|\ | |
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C |"UB"++>|-------- | -----------------etc.. | ----*--- | |
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C | | rVel(i=1, | rVel(i=Nx, * | | |
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1.1 |
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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1.5 |
C | | /|\ | /|\ * | | |
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C | |-------- | -----------------etc.. | ----*--- | |
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C | | rVel(i=1, | rVel(i=Nx, * | | |
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1.1 |
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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1.5 |
C | | /|\ | /|\ * | | |
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C | |-------- | -----------------etc.. | ----*--- | |
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C | | rVel(i=1, | rVel(i=Nx, * | | |
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1.1 |
C | | j=1, | j=1, * | | |
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1.6 |
C | | k=Nr) | k=Nr) * | | |
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1.1 |
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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1.6 |
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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1.1 |
C | | | * | | |
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C |"LB"++>============================================== | |
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C | "PWX" | |
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C | | |
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1.5 |
C | Up increasing upwards. | |
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1.1 |
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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1.5 |
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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1.1 |
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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1.5 |
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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1.1 |
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 \==========================================================/ |
290 |
cnh |
1.3 |
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C Macros that override/modify standard definitions |
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#include "GRID_MACROS.h" |
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294 |
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1.1 |
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) |
304 |
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1.5 |
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 ). |
306 |
cnh |
1.1 |
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. |
312 |
cnh |
1.6 |
C rkFac - Vertical coordinate to vertical index orientation. |
313 |
cnh |
1.7 |
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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cnh |
1.1 |
C maskW - West face land mask |
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C maskS - South face land mask |
318 |
cnh |
1.5 |
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 |
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C recip_dyG - Recipricol of dyG |
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C recip_dyF - Recipricol of dyF |
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C recip_dyU - Recipricol of dyU |
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C recip_drC - Recipricol of drC |
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C recip_drF - Recipricol of drF |
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C recip_H - Inverse of cell center open-depth |
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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. |
332 |
cnh |
1.1 |
C saFac - Shallow atmosphere factor (dimensionless scale factor). |
333 |
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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]. |
339 |
cnh |
1.4 |
C xC0, yC0 - West edge x coord ( metres or degrees ) |
340 |
|
|
C South edge y coord ( metres or degrees ) |
341 |
cnh |
1.5 |
C rA - R-face are f[X,Y] ( m^2 ). |
342 |
cnh |
1.1 |
C Note: In a cartesian framework zA is simply dx*dy, |
343 |
|
|
C however we use zA to allow for non-globally |
344 |
|
|
C orthogonal coordinate frames (with appropriate |
345 |
|
|
C metric terms). |
346 |
cnh |
1.5 |
C rC - R-coordinate of center of cell f[Z] (units of r). |
347 |
|
|
C rF - R-coordinate of face of cell f[Z] (units of r). |
348 |
cnh |
1.4 |
C tanPhiAtU - tan of the latitude at U point. Used for spherical polar |
349 |
|
|
C metric term in U equation. |
350 |
|
|
C tanPhiAtV - tan of the latitude at V point. Used for spherical polar |
351 |
|
|
C metric term in V equation. |
352 |
cnh |
1.1 |
COMMON /GRID_R/ |
353 |
cnh |
1.6 |
& dxC,dxF,dxG,dxV,dyC,dyF,dyG,dyU,drC,drF, |
354 |
cnh |
1.10 |
& H,HFacC,HFacW,HFacS,DepthInK, |
355 |
cnh |
1.5 |
& recip_dxC,recip_dxF,recip_dxG,recip_dxV, |
356 |
|
|
& recip_dyC,recip_dyF,recip_dyG,recip_dyU, |
357 |
|
|
& recip_drC,recip_drF, |
358 |
|
|
& recip_H, |
359 |
|
|
& recip_hFacC,recip_hFacW,recip_hFacS, |
360 |
cnh |
1.6 |
& rkFac, recip_rkFac, |
361 |
cnh |
1.5 |
& saFac, |
362 |
|
|
& xC,yC,rA,rC,rF,yC0,xC0, |
363 |
cnh |
1.4 |
& maskW,maskS, |
364 |
|
|
& tanPhiAtU, tanPhiAtV |
365 |
cnh |
1.5 |
_RS dxC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
366 |
|
|
_RS dxF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
367 |
|
|
_RS dxG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
368 |
|
|
_RS dxV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
369 |
|
|
_RS dyC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
370 |
|
|
_RS dyF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
371 |
|
|
_RS dyG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
372 |
|
|
_RS dyU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
373 |
cnh |
1.6 |
_RS drC (1:Nr) |
374 |
|
|
_RS drF (1:Nr) |
375 |
|
|
_RS rkFac |
376 |
|
|
_RS recip_rkFac |
377 |
cnh |
1.9 |
_RS DepthInK (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
378 |
cnh |
1.5 |
_RS H (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
379 |
cnh |
1.6 |
_RS HFacC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
380 |
|
|
_RS HFacW (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
381 |
|
|
_RS HFacS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
382 |
cnh |
1.5 |
_RS recip_dxC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
383 |
|
|
_RS recip_dxF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
384 |
|
|
_RS recip_dxG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
385 |
|
|
_RS recip_dxV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
386 |
|
|
_RS recip_dyC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
387 |
|
|
_RS recip_dyF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
388 |
|
|
_RS recip_dyG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
389 |
|
|
_RS recip_dyU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
390 |
cnh |
1.6 |
_RS recip_drC (1:Nr) |
391 |
|
|
_RS recip_drF (1:Nr) |
392 |
cnh |
1.5 |
_RS recip_h (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
393 |
cnh |
1.6 |
_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 saFac (1:Nr) |
397 |
cnh |
1.5 |
_RS xC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
398 |
cnh |
1.4 |
_RS xC0 |
399 |
cnh |
1.5 |
_RS yC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
400 |
cnh |
1.4 |
_RS yC0 |
401 |
cnh |
1.5 |
_RS rA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
402 |
cnh |
1.6 |
_RS rC (1:Nr) |
403 |
|
|
_RS rF (1:Nr+1) |
404 |
|
|
_RS maskW (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
405 |
|
|
_RS maskS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
406 |
cnh |
1.5 |
_RS tanPhiAtU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
407 |
|
|
_RS tanPhiAtV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |