poisson.h File Reference

Structures and functions for the Poisson solver. More...

#include "cstream.h"
#include "rz_array.h"
#include "grid.h"

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Classes
struct	pois_grid_t
struct	pois_problem_t
struct	pois_boundaries_t

Macros
#define	UNCHECK_ER_RZ(grid_, ir_, iz_)
#define	UNCHECK_EZ_RZ(grid_, ir_, iz_)
#define	ER_RZ(grid_, ir_, iz_)
#define	EZ_RZ(grid_, ir_, iz_)
#define	_POISSON_H_

Typedefs
typedef struct pois_grid_t	pois_grid_t
typedef struct pois_problem_t	pois_problem_t
typedef struct pois_boundaries_t	pois_boundaries_t

Detailed Description

Structures and functions for the Poisson solver.

Definition in file poisson.h.

Macro Definition Documentation

#define UNCHECK_ER_RZ	(		grid_,
			ir_,
			iz_
	)

Value:

(((RZ(grid_->phi, (ir_) + 1, iz_) - RZ(grid_->phi, ir_, iz_))     \
    / dr[grid_->level]))

Definition at line 54 of file poisson.h.

#define UNCHECK_EZ_RZ	(		grid_,
			ir_,
			iz_
	)

Value:

(((RZ(grid_->phi, ir_, (iz_) + 1) - RZ(grid_->phi, ir_, iz_))  \
    / dz[grid_->level]))

The easiest way (and not too performance costly) is to check the boundaries where the field can be calculated.

Note that, if everything is OK, the 0 there that we set should never be used again (and hence any number would be ok (use NaN for debugging)

Definition at line 58 of file poisson.h.

#define ER_RZ	(		grid_,
			ir_,
			iz_
	)

Value:

(((ir_) < ((grid_)->r1 + 1) && ((ir_) > ((grid_)->r0 - 2)))? \
   UNCHECK_ER_RZ(grid_, ir_, iz_): 0)

Definition at line 71 of file poisson.h.

#define EZ_RZ	(		grid_,
			ir_,
			iz_
	)

Value:

(((iz_) < ((grid_)->z1 + 1) && ((iz_) > ((grid_)->z0 - 2)))? \
   UNCHECK_EZ_RZ(grid_, ir_, iz_): 0)

Definition at line 75 of file poisson.h.

#define _POISSON_H_

Definition at line 79 of file poisson.h.

Typedef Documentation

typedef struct pois_grid_t pois_grid_t

Definition at line 14 of file poisson.h.

typedef struct pois_problem_t pois_problem_t

Definition at line 30 of file poisson.h.

typedef struct pois_boundaries_t pois_boundaries_t

Note that the electric fields are computed here as the derivatives of , and not minus the derivatives.

This is because our is not actually the electrostatic potential in its standard definition but its opposite. This simplifies the computations since we can use the charge as the source of the Poisson equation.