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/*@@
@header ADM_Derivative.h
@date June 2002
@author Denis Pollney
@desc
Derivative operators.
@enddesc
@@*/
#ifndef ADM_DERIVATIVE_H
#define ADM_DERIVATIVE_H
#include "ADM_Spacing.h"
/*
* 2nd order operators.
*/
#define ADM_DX_2(var,i,j,k) I2DX*(var(i+1,j,k) - var(i-1,j,k))
#define ADM_DY_2(var,i,j,k) I2DY*(var(i,j+1,k) - var(i,j-1,k))
#define ADM_DZ_2(var,i,j,k) I2DZ*(var(i,j,k+1) - var(i,j,k-1))
#define ADM_DXX_2(var,i,j,k) IDXX*(var(i+1,j,k) - 2.d0*var(i,j,k) \
+ var(i-1,j,k))
#define ADM_DYY_2(var,i,j,k) IDYY*(var(i,j+1,k) - 2.d0*var(i,j,k) \
+ var(i,j-1,k))
#define ADM_DZZ_2(var,i,j,k) IDZZ*(var(i,j,k+1) - 2.d0*var(i,j,k) \
+ var(i,j,k-1))
#define ADM_DXY_2(var,i,j,k) IDXY*(var(i+1,j+1,k) - var(i+1,j-1,k) \
- var(i-1,j+1,k) + var(i-1,j-1,k))
#define ADM_DXZ_2(var,i,j,k) IDXZ*(var(i+1,j,k+1) - var(i+1,j,k-1) \
- var(i-1,j,k+1) + var(i-1,j,k-1))
#define ADM_DYZ_2(var,i,j,k) IDYZ*(var(i,j+1,k+1) - var(i,j+1,k-1) \
- var(i,j-1,k+1) + var(i,j-1,k-1))
/*
* 4th order operators.
*/
#define ADM_DX_4(var,i,j,k) I12DX*(-var(i+2,j,k) + var(i-2,j,k) \
+ 8.d0*(var(i+1,j,k) - var(i-1,j,k)))
#define ADM_DY_4(var,i,j,k) I12DY*(-var(i,j+2,k) + var(i,j-2,k) \
+ 8.d0*(var(i,j+1,k) - var(i,j-1,k)))
#define ADM_DZ_4(var,i,j,k) I12DZ*(-var(i,j,k+2) + var(i,j,k-2) \
+ 8.d0*(var(i,j,k+1) - var(i,j,k-1)))
#define ADM_DXX_4(var,i,j,k) I12DXX*(-var(i+2,j,k) - var(i-2,j,k) \
+ 16.d0*(var(i+1,j,k) + var(i-1,j,k)) \
- 30.d0*var(i,j,k))
#define ADM_DYY_4(var,i,j,k) I12DYY*(-var(i,j+2,k) - var(i,j-2,k) \
+ 16.d0*(var(i,j+1,k) + var(i,j-1,k)) \
- 30.d0*var(i,j,k))
#define ADM_DZZ_4(var,i,j,k) I12DZZ*(-var(i,j,k+2) - var(i,j,k-2) \
+ 16.d0*(var(i,j,k+1) + var(i,j,k-1)) \
- 30.d0*var(i,j,k))
#define ADM_DXY_4(var,i,j,k) I36DXY* \
(var(i+2,j+2,k) - var(i+2,j-2,k) - var(i-2,j+2,k) + var(i-2,j-2,k) \
+ 8.d0*(-var(i+2,j+1,k) + var(i+2,j-1,k) - var(i+1,j+2,k) + var(i+1,j-2,k) \
+ var(i-2,j+1,k) - var(i-2,j-1,k) - var(i-1,j-2,k) + var(i-1,j+2,k)) \
+ 64.d0*(var(i+1,j+1,k) - var(i+1,j-1,k) - var(i-1,j+1,k) + var(i-1,j-1,k)))
#define ADM_DXZ_4(var,i,j,k) I36DXZ* \
(var(i+2,j,k+2) - var(i+2,j,k-2) - var(i-2,j,k+2) + var(i-2,j,k-2) \
+ 8.d0*(-var(i+2,j,k+1) + var(i+2,j,k-1) - var(i+1,j,k+2) + var(i+1,j,k-2) \
+ var(i-2,j,k+1) - var(i-2,j,k-1) - var(i-1,j,k-2) + var(i-1,j,k+2)) \
+ 64.d0*(var(i+1,j,k+1) - var(i+1,j,k-1) - var(i-1,j,k+1) + var(i-1,j,k-1)))
#define ADM_DYZ_4(var,i,j,k) I36DYZ* \
(var(i,j+2,k+2) - var(i,j+2,k-2) - var(i,j-2,k+2) + var(i,j-2,k-2) \
+ 8.d0*(-var(i,j+2,k+1) + var(i,j+2,k-1) - var(i,j+1,k+2) + var(i,j+1,k-2) \
+ var(i,j-2,k+1) - var(i,j-2,k-1) - var(i,j-1,k-2) + var(i,j-1,k+2)) \
+ 64.d0*(var(i,j+1,k+1) - var(i,j+1,k-1) - var(i,j-1,k+1) + var(i,j-1,k-1)))
#define ADM_ADV_DX_P1(var,i,j,k) betax(i,j,k)*IDX*(var(i+1,j,k) - var(i,j,k))
#define ADM_ADV_DY_P1(var,i,j,k) betay(i,j,k)*IDY*(var(i,j+1,k) - var(i,j,k))
#define ADM_ADV_DZ_P1(var,i,j,k) betaz(i,j,k)*IDZ*(var(i,j,k+1) - var(i,j,k))
#define ADM_ADV_DX_M1(var,i,j,k) betax(i,j,k)*IDX*(var(i,j,k) - var(i-1,j,k))
#define ADM_ADV_DY_M1(var,i,j,k) betay(i,j,k)*IDY*(var(i,j,k) - var(i,j-1,k))
#define ADM_ADV_DZ_M1(var,i,j,k) betaz(i,j,k)*IDZ*(var(i,j,k) - var(i,j,k-1))
#define ADM_ADV_DX_P2(var,i,j,k) betax(i,j,k)*I2DX*(-3.d0*var(i,j,k) \
+ 4.d0*var(i+1,j,k) - var(i+2,j,k))
#define ADM_ADV_DY_P2(var,i,j,k) betay(i,j,k)*I2DY*(-3.d0*var(i,j,k) \
+ 4.d0*var(i,j+1,k) - var(i,j+2,k))
#define ADM_ADV_DZ_P2(var,i,j,k) betaz(i,j,k)*I2DZ*(-3.d0*var(i,j,k) \
+ 4.d0*var(i,j,k+1) - var(i,j,k+2))
#define ADM_ADV_DX_M2(var,i,j,k) betax(i,j,k)*I2DX*(3.d0*var(i,j,k) \
- 4.d0*var(i-1,j,k) + var(i-2,j,k))
#define ADM_ADV_DY_M2(var,i,j,k) betay(i,j,k)*I2DY*(3.d0*var(i,j,k) \
- 4.d0*var(i,j-1,k) + var(i,j-2,k))
#define ADM_ADV_DZ_M2(var,i,j,k) betaz(i,j,k)*I2DZ*(3.d0*var(i,j,k) \
- 4.d0*var(i,j,k-1) + var(i,j,k-2))
#endif
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