poisson.F90 File Reference

#include "petsc_version_defs.h"
#include <petsc/finclude/petsc.h>

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Data Types
module	f90moduleinterfaces
interface	f90moduleinterfaces::pcsetapplicationcontext
interface	f90moduleinterfaces::pcgetapplicationcontext

Macros
#define	DPOT(inode, iphi)   psn%dpot(inode)
#define	IDEN(inode, iphi)   psn%idensity0(inode)
#define	EDEN(inode, iphi)   psn%edensity0(inode)

Functions/Subroutines
subroutine	init_poisson (grid, psn, iflag_dummy)
subroutine	psn_init_poisson_private (psn, grid, solver_data, nrhs)
subroutine	pcshermanmorrisonapply (pc, xin, yout, ierr)
subroutine	getnnz (grid, nloc, low, high, d_nnz, o_nnz, xgc_petsc, nglobal, ierr)
subroutine	create_solver (this, grid, bc, ierr)
subroutine	create_1field_solver (grid, solver)
subroutine	create_2field_solver (grid, bd, solver)
subroutine	make_12mat (grid, Bmat, BIdentMat, FSAMass_Te, solver, bd, scale, xgc_petsc)
subroutine	make_21mat (grid, Cmat, Cio, Bmat, CConstBCVec, bd, xgc_petsc, petsc_xgc_bd)
subroutine	solve_poisson (grid, psn, n0_only, iflag)
	High level Poisson solver routine, offers choice of outer iterative solver, two-step solver, and FSA solver. More...
subroutine	solve_poisson_private (grid, psn, iflag)
subroutine	zero_out_wall (var)
subroutine	solve_poisson_iter (grid, psn, iflag)
	Poisson solver that uses an iterative method to solve for the axisymmetric electrostatic potential: The Poisson equation for the axisymmetric mode is \[ -\nabla_\perp \cdot \xi \nabla_\perp \overline{\phi}_{k+1} + \frac{e n_0/T_{e,0}} \overline{\phi}_{k+1} = e \left( \langle \overline{\delta n_i} \rangle_g - \overline{\delta n_{e,NA}} \right) + \frac{e n_0/T_{e,0}} \langle \phi_{k} \rangle_{fs} \] where \(k\) is the iteration index, \(xi\) is the electric susceptibility, \(e\) is the elementary charge, \(n_0\) and \(T_0\) are the background density and temperature, \(\langle \overline{\delta n_i} \rangle_g\) is the gyroaveraged ion (gyrocenter) charge density, \(\overline{\delta n_{e,NA}}\) is the non-adiabatic electron charge density, and \(\langle\dots\rangle\) is the the flux-surface average. \(\overline{\dots}\) is the toroidal average. More...
subroutine	update_poisson_solver (grid, psn, solver_data)
	Updates the LHS matrix of the Poisson equation (density and electron temperature) More...

Macro Definition Documentation

#define DPOT	(		inode,
			iphi
	)		psn%dpot(inode)

#define EDEN	(		inode,
			iphi
	)		psn%edensity0(inode)

#define IDEN	(		inode,
			iphi
	)		psn%idensity0(inode)

Function/Subroutine Documentation

subroutine create_1field_solver	(	type(grid_type)	grid,
		type(xgc_solver)	solver
	)

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subroutine create_2field_solver	(	type(grid_type)	grid,
		type(boundary2_type)	bd,
		type(xgc_solver)	solver
	)

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subroutine create_solver	(	type(xgc_solver)	this,
		type(grid_type), intent(in)	grid,
		type(boundary2_type), intent(in)	bc,
			ierr
	)

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subroutine getnnz	(	type(grid_type), intent(in)	grid,
			nloc,
			low,
			high,
			d_nnz,
			o_nnz,
		dimension(grid%nnode), intent(in)	xgc_petsc,
			nglobal,
			ierr
	)

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subroutine init_poisson	(	type(grid_type)	grid,
		type(psn_type)	psn,
		integer	iflag_dummy
	)

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subroutine make_12mat	(	type(grid_type)	grid,
		intent(inout)	Bmat,
			BIdentMat,
		intent(in)	FSAMass_Te,
		type(xgc_solver)	solver,
		type(boundary2_type), intent(in)	bd,
		real (8), intent(in)	scale,
		dimension(grid%nnode), intent(in)	xgc_petsc
	)

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subroutine make_21mat	(	type(grid_type)	grid,
			Cmat,
			Cio,
		intent(in)	Bmat,
			CConstBCVec,
		type(boundary2_type), intent(in)	bd,
		dimension(grid%nnode), intent(in)	xgc_petsc,
		dimension(grid%nnode), intent(in)	petsc_xgc_bd
	)

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subroutine pcshermanmorrisonapply	(		pc,
			xin,
			yout,
			ierr
	)

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subroutine psn_init_poisson_private	(	type(psn_type)	psn,
		type(grid_type)	grid,
		type(solver_init_data), intent(in)	solver_data,
		integer	nrhs
	)

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subroutine solve_poisson	(	type(grid_type), intent(in)	grid,
		type(psn_type), intent(inout)	psn,
		logical, intent(in)	n0_only,
		integer, intent(in)	iflag
	)

High level Poisson solver routine, offers choice of outer iterative solver, two-step solver, and FSA solver.

Parameters

[in]	grid	XGC grid data object
[in,out]	psn	XGC field data object
[in]	n0_only	Flag for solving only n=0 mode and then exit (no function in XGCa), logical
[in]	iflag	Flag to indicate whether adiabatic elec or full eq. is solved, integer

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subroutine solve_poisson_iter	(	type(grid_type), intent(in)	grid,
		type(psn_type), intent(inout)	psn,
		integer, intent(in)	iflag
	)

Poisson solver that uses an iterative method to solve for the axisymmetric electrostatic potential: The Poisson equation for the axisymmetric mode is

\[ -\nabla_\perp \cdot \xi \nabla_\perp \overline{\phi}_{k+1} + \frac{e n_0/T_{e,0}} \overline{\phi}_{k+1} = e \left( \langle \overline{\delta n_i} \rangle_g - \overline{\delta n_{e,NA}} \right) + \frac{e n_0/T_{e,0}} \langle \phi_{k} \rangle_{fs} \]

where \(k\) is the iteration index, \(xi\) is the electric susceptibility, \(e\) is the elementary charge, \(n_0\) and \(T_0\) are the background density and temperature, \(\langle \overline{\delta n_i} \rangle_g\) is the gyroaveraged ion (gyrocenter) charge density, \(\overline{\delta n_{e,NA}}\) is the non-adiabatic electron charge density, and \(\langle\dots\rangle\) is the the flux-surface average. \(\overline{\dots}\) is the toroidal average.

The non-axisymmetric Poisson equation is simpler:

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subroutine solve_poisson_private	(	type(grid_type)	grid,
		type(psn_type)	psn,
		integer, intent(in)	iflag
	)

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subroutine update_poisson_solver	(	type(grid_type), intent(in)	grid,
		type(psn_type), intent(inout)	psn,
		type(solver_init_data), intent(in)	solver_data
	)

Updates the LHS matrix of the Poisson equation (density and electron temperature)

Parameters

[in]	grid	XGC grid data object, type(grid_type)
[in,out]	psn	XGC field data object, type(psn_type)
[in]	solver_data	Object with profile and magnetic data for solvers

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subroutine zero_out_wall

(

real (8), dimension(grid%nnode), intent(inout)

var

)

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