NullExact

Bela Szilagyi <bela.szilagyi@jpl.nasa.gov>
N T Bishop <N T Bishop <bishont@unisa.ac.za>>
Chi Wai Lai <Kevin <laicw@astro.unisa.ac.za>>

August 25 2005

Abstract

1 Introduction

2 Physical System

3 Numerical Implementation

4 Using This Thorn

4.1 Obtaining This Thorn

4.2 Basic Usage

4.3 Special Behaviour

4.4 Interaction With Other Thorns

4.5 Examples

4.6 Support and Feedback

5 History

5.1 Thorn Source Code

5.2 Thorn Documentation

5.3 Acknowledgements

References

6 Parameters


a_r0	Scope: private	REAL

Description: Constant part of Bondi Radius

Range		Default: (none)
-1:1	amplitude of the perturbation


amplitude	Scope: private	REAL

Description: testbed amplitude

Range		Default: (none)
:	no restrictions


analytic_fields	Scope: private	BOOLEAN

Description: should the analytic values of the fields be computed?

		Default: no


beta0i	Scope: private	REAL

Description: Imaginary part of constant beta0 in linearized solution

Range		Default: (none)
:	no restrictions


beta0r	Scope: private	REAL

Description: Real part of constant beta0 in linearized solution

Range		Default: (none)
:	no restrictions


constant_c1i	Scope: private	REAL

Description: Imaginary part of constant C1 in linearized solution

Range		Default: (none)
:	no restrictions


constant_c1r	Scope: private	REAL

Description: Real part of constant C1 in linearized solution

Range		Default: (none)
:	no restrictions


constant_c2i	Scope: private	REAL

Description: Imaginary part of constant C2 in linearized solution

Range		Default: (none)
:	no restrictions


constant_c2r	Scope: private	REAL

Description: Real part of constant C2 in linearized solution

Range		Default: (none)
:	no restrictions


error_mask_type	Scope: private	KEYWORD

Description: type of mask for error in J

Range		Default: none
none	no mask
EG_mask	mask all the active points
EQ_mask	mask only the equator points
EV_mask	mask only the evolution points
guard_mask	mask only the guard points


f_r0	Scope: private	REAL

Description: Constant part of Bondi Radius

Range		Default: 1
0:*	frequency of the perturbation


omm	Scope: private	REAL

Description: frequency

Range		Default: (none)
:	no restrictions


testbed_id	Scope: private	INT

Description: what testbed should we use?

Range		Default: (none)
	minkowski, in the natural associated Bondi frame
1	noise around minkoswski
2	this is a linear l=2,3 testbed


verbose	Scope: private	BOOLEAN

Description: should this thorn be verbose?

		Default: no


l_in_ylm	Scope: restricted	INT

Description: l in Ylm

Range		Default: 2
0:*	positive


m_in_ylm	Scope: restricted	INT

Description: m in Ylm

Range		Default: (none)
:	must be between -l and +l


nullexact_maxevolvedarraysize	Scope: restricted	INT

Description: The maximum size of evolved grid arrays used by Null2DWave

Range		Default: 1
1:*	The size of the generator grid arrays


nullexact_numarrayevolvedvars	Scope: restricted	INT

Description: The maximum number of evolved grid arrays used by NullExact

Range		Default: 2
2:2	Is is only the News


linearized_news	Scope: shared from NULLNEWS	BOOLEAN

7 Interfaces

General

Implements:

nullexact

Inherits:

nullvars

nullgrid

nullnews

nullconstr

nullinterp

nullevolve

Grid Variables

7.0.1 PRIVATE GROUPS


Group Names	Variable Names	Details

realcharfuncs_e		compact	0
	wcn_e	description	Error in Evolved Real-valued Characteristic Fields
	bcn_e	dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	NullGrid::N_radial_pts
		variable type	REAL

realconstr_e		compact	0
	R01n_e	description	Error in constraints
	R01s_e	dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	NullGrid::N_radial_pts
		variable type	REAL

cmplxcharfuncs_basic_e_split		compact	0
	jcnr	description	Error in Evolved complex-valued Characteristic Fields (basic set
		description	real and imag part)
	jcni	dimensions	2
	jcnr_e	distribution	DEFAULT
	jcni_e	ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	NullGrid::N_radial_pts
		variable type	REAL

cmplxcharfuncs_basic_e_mask		compact	0
	Mjcn_e	description	Error in Evolved complex-valued Characteristic Fields (basic set)
	Mucn_e	dimensions	2
	Meth2jcn_e	distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	NullGrid::N_radial_pts
		variable type	COMPLEX

cmplxcharfuncs_basic_e		compact	0
	jcn_e	description	Error in Evolved complex-valued Characteristic Fields (basic set)
	ucn_e	dimensions	2
	qcn_e	distribution	DEFAULT
	eth2jcn_e	ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	NullGrid::N_radial_pts
		variable type	COMPLEX

cmplxcharfuncs_aux_e		compact	0
	nucn_e	description	Error in Evolved complex-valued Characteristic Fields (auxiliary set)
	cbcn_e	dimensions	2
	ckcn_e	distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	NullGrid::N_radial_pts
		variable type	COMPLEX


Group Names	Variable Names	Details

realcharfuncs_e_south		compact	0
	wcs_e	description	Error in Evolved Real-valued Characteristic Fields (south)
	bcs_e	dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	NullGrid::N_radial_pts
		variable type	REAL

cmplxcharfuncs_basic_e_south		compact	0
	jcs_e	description	Error in Evolved complex-valued Characteristic Fields (basic set
		description	south)
	ucs_e	dimensions	2
	qcs_e	distribution	DEFAULT
	eth2jcs_e	ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	NullGrid::N_radial_pts
		variable type	COMPLEX

cmplxcharfuncs_aux_e_south		compact	0
	nucs_e	description	Error in Evolved complex-valued Characteristic Fields (auxiliary set
		description	south)
	cbcs_e	dimensions	2
	ckcs_e	distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	NullGrid::N_radial_pts
		variable type	COMPLEX

newsbr	NewsBr	compact	0
		description	Real part of Bondi News
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL

newsbi	NewsBi	compact	0
		description	Imaginary part of Bondi News
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL

hmu		compact	0
	muh	description	real part of omega - 1
	EQmuh	dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL


Group Names	Variable Names	Details

hj_l		compact	0
	Jh_l	description	derivative of J
		description	over x
	Jh_l	description	evolved values
	EQJh_l	dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	COMPLEX

mu_err		compact	0
	mu_e	description	error in real part of omega - 1
	EGmu_e	dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL

j_l_err		compact	0
	aJ_l_e	description	error in J_l
	EGaJ_l_e	dimensions	2
	nJ_l_e	distribution	DEFAULT
	EGnJ_l_e	ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	COMPLEX

newsr_e	Newsr_e	compact	0
		description	error in real part of News
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL

newsi_e	Newsi_e	compact	0
		description	error in imaginary part of News
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL

newsbr_e	NewsBr_e	compact	0
		description	error in real part of Bondi News
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL


Group Names	Variable Names	Details

newsbi_e	NewsBi_e	compact	0
		description	error in imaginary part of Bondi News
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL

newsb_e	NewsB_e	compact	0
		description	error in Bondi News
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	COMPLEX

psi4r_e	Psi4r_e	compact	0
		description	error in real part of Psi4
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL

psi4i_e	Psi4i_e	compact	0
		description	error in imaginary part of Psi4
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL

psi4_e	Psi4_e	compact	0
		description	error in Psi4
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	COMPLEX

ubondi_e	uBondi_e	compact	0
		description	error in Bondi time associated with the Bondi News
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL


Group Names	Variable Names	Details

ana_j_l	ana_J_l	compact	0
		description	analytic J_l
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	COMPLEX

num_j_l	num_J_l	compact	0
		description	derivative of J
		description	over x
		description	numeric values
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	COMPLEX

ana_mu	ana_mu	compact	0
		description	analytic Omega
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL

ana_news	ana_News	compact	0
		description	analytic complex-valued News (basic set)
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	COMPLEX

ana_psi4	ana_Psi4	compact	0
		description	analytic complex-valued Psi4 (basic set)
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	COMPLEX

ana_j		compact	0
	ana_jcn	description	Error in Evolved complex-valued Characteristic Fields J
	ana_jcs	dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	NullGrid::N_radial_pts
		variable type	COMPLEX


Group Names	Variable Names	Details

ana_u		compact	0
	ana_ucn	description	Error in Evolved complex-valued Characteristic Fields U
	ana_ucs	dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	NullGrid::N_radial_pts
		variable type	COMPLEX

ana_q		compact	0
	ana_qcn	description	Error in Evolved complex-valued Characteristic Fields Q
	ana_qcs	dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	NullGrid::N_radial_pts
		variable type	COMPLEX

dotnews_mol	dotNews_MoL	compact	0
		description	real dotNews for MoL - this is the real part of Psi4
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	2
		vararray_size	2
		variable type	REAL

news_mol	News_MoL	compact	0
		description	real News for MoL - this is the real part of integral Psi4
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	2
		vararray_size	2
		variable type	REAL

errnews_mol	errNews_MoL	compact	0
		description	difference between News from MoL integration of Psi4 and evolved News
		dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	REAL

ylm_group		compact	0
	Ylm_2	description	Ylm_s by patch
	Ylm_1	dimensions	2
	Ylm_0	distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		vararray_size	2
		variable type	COMPLEX


Group Names	Variable Names	Details

wtexact_mask		compact	0
	WTexact_maskn	description	Worldtube mask
	WTexact_masks	dimensions	2
		distribution	DEFAULT
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		ghostsize	NULLGRID::N_ANG_GHOST_PTS
		group type	ARRAY
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		size	(NULLGRID::N_ANG_PTS_INSIDE_EQ+2*(NULLGRID::N_ANG_EV_OUTSIDE_EQ+NULLGRID::N_ANG_STENCIL_SIZE))
		timelevels	1
		variable type	INT

8 Schedule

This section lists all the variables which are assigned storage by thorn PITTNullCode/NullExact. Storage can either last for the duration of the run (Always means that if this thorn is activated storage will be assigned, Conditional means that if this thorn is activated storage will be assigned for the duration of the run if some condition is met), or can be turned on for the duration of a schedule function.

Storage

Always:	Conditional:
News_MoL[2] dotNews_MoL[2] errNews_MoL	Ylm_group WTexact_mask
	NullSHRExtract::x_wt[2] NullSHRExtract::WT_r0
	NullSHRExtract::j_wt[2] NullSHRExtract::beta_wt[2] NullSHRExtract::w_wt[2]
	NullSHRExtract::q_wt[2] NullSHRExtract::u_wt[2] NullSHRExtract::u_x_wt
	NullSHRExtract::j_l NullSHRExtract::beta_l NullSHRExtract::u_l NullSHRExtract::w_l

Scheduled Functions

CCTK_INITIAL (conditional)

nullexact_precalcylm

precalculate spherical harmonics

	Before:	nullevol_boundaryinit
		nullevol_initial
	Language:	fortran
	Type:	function

CCTK_ANALYSIS (conditional)

nullexact_error_cmplx

error in characteristic evolution variables

	Language:	fortran
	Storage:	cmplxcharfuncs_basic_e_split
		cmplxcharfuncs_basic_e_mask
		cmplxcharfuncs_basic_e
		cmplxcharfuncs_basic_e_south
	Triggers:	cmplxcharfuncs_basic_e_split
		cmplxcharfuncs_basic_e_mask
		cmplxcharfuncs_basic_e
		cmplxcharfuncs_basic_e_south
	Type:	function

NullEvol_Initial (conditional)

nullexact_initial

exact initial data for j

	After:	nullevol_initialdata
	Before:	nullevol_initialslice
	Language:	fortran
	Type:	function

NullEvol_Initial

nullexact_initmol

initial data

	After:	nullevol_initialslice
	Language:	fortran
	Options:	global
	Type:	function

MoL_Register

nullexact_molregister

	Language:	c
	Type:	function

MoL_CalcRHS

nullexact_dotnewsmol

calculate the integral of psi4

	Language:	fortran
	Sync:	dotnews_mol
	Type:	function

CCTK_ANALYSIS (conditional)

nullexact_error_newsb

error in characteristic evolution variables

	Language:	fortran
	Storage:	newsb_e
		ubondi_e
		newsbi_e
		newsbr_e
		newsbr
		newsbi
		newsr_e
		newsi_e
		psi4r_e
		psi4i_e
		psi4_e
		mu_err
		hmu
		j_l_err
		hj_l
	Triggers:	newsb_e
		ubondi_e
		newsbi_e
		newsbr_e
		newsbr
		newsbi
		newsr_e
		newsi_e
		psi4r_e
		psi4i_e
		psi4_e
		mu_err
		hmu
		j_l_err
		hj_l
	Type:	function

CCTK_ANALYSIS (conditional)

nullexact_error_real

error in characteristic evolution variables

	Language:	fortran
	Storage:	realcharfuncs_e
		realcharfuncs_e_south
	Triggers:	realcharfuncs_e
		realcharfuncs_e_south
	Type:	function

CCTK_ANALYSIS (conditional)

nullexact_error_constr

error in constraints

	After:	nullconstr_driver
	Language:	fortran
	Storage:	realconstr_e
	Triggers:	realconstr_e
	Type:	function

CCTK_ANALYSIS (conditional)

nullexact_error_cmplxaux

error in characteristic evolution variables

	Language:	fortran
	Storage:	cmplxcharfuncs_aux_e
		cmplxcharfuncs_aux_e_south
	Triggers:	cmplxcharfuncs_aux_e
		cmplxcharfuncs_aux_e_south
	Type:	function

CCTK_ANALYSIS (conditional)

nullexact_anafields

error in characteristic evolution variables

	Language:	fortran
	Storage:	ana_news
		ana_mu
		ana_psi4
		ana_j
		ana_q
		ana_u
		ana_j_l
		num_j_l
	Triggers:	ana_news
		ana_mu
		ana_psi4
		ana_j
		ana_q
		ana_u
		ana_j_l
		num_j_l
	Type:	function

NullEvol_BoundaryInit (conditional)

nullexact_boundary

exact boundary data for the characteristic evolution variables

	Language:	fortran
	Type:	function

NullEvol_BoundaryInit (conditional)

nullexact_boundarypast

exact boundary data for the characteristic evolution variables, past level

	Language:	fortran
	Type:	function

NullEvol_Boundary (conditional)

nullexact_boundary

exact boundary data for the characteristic evolution variables

	Language:	fortran
	Type:	function