CalcK — Calculate \(K_{ij}\)

Erik Schnetter <schnetter@aei.mpg.de>

\( \)Date\( \)

Abstract

Calculate the extrinsic curvature \(K_{ij}\) from several time levels of the three-metric \(\gamma _{ij}\), lapse \(\alpha \), and shift \(\beta ^i\).

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

calc_extcurv
Scope: private  BOOLEAN
Description: Calculate extrinsic curvature
  Default: no

copy_to_next
Scope: private  BOOLEAN
Description: Copy ADMBase::metric to CalcK::metric_next
  Default: no

copy_to_prev
Scope: private  BOOLEAN
Description: Copy ADMBase::metric to CalcK::metric_prev
  Default: no

copy_to_prev2
Scope: private  BOOLEAN
Description: Copy ADMBase::metric to CalcK::metric_prev2
  Default: no

extcurv_boundary
Scope: private  STRING
Description: Boundary condition for the extrinsic curvature
Range   Default: Robin
.*
must be a registered boundary condition

extcurv_boundary_options
Scope: private  STRING
Description: Options for the boundry condition for the extrinsic curvature
Range   Default: decay_power=2.0
.*
must have the options table syntax

metric_type
Scope: shared from ADMBASE KEYWORD

7 Interfaces

General

Implements:

calck

Inherits:

admbase

staticconformal

Grid Variables

7.0.1 PRIVATE GROUPS
  Group Names    Variable Names    Details   
metric_prev   compact0
gxx_prev   descriptionADM 3-metric
    descriptionprevious time
gxy_prev   dimensions3
gxz_prev   distributionDEFAULT
gyy_prev   group typeGF
gyz_prev   timelevels1
gzz_prev  variable typeREAL
metric_prev2   compact0
gxx_prev2   descriptionADM 3-metric
    descriptionpre-previous time
gxy_prev2   dimensions3
gxz_prev2   distributionDEFAULT
gyy_prev2   group typeGF
gyz_prev2   timelevels1
gzz_prev2  variable typeREAL
metric_next   compact0
gxx_next   descriptionADM 3-metric
    descriptionnext time
gxy_next   dimensions3
gxz_next   distributionDEFAULT
gyy_next   group typeGF
gyz_next   timelevels1
gzz_next  variable typeREAL

8 Schedule

This section lists all the variables which are assigned storage by thorn EinsteinAnalysis/CalcK. 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:  
metric_prev metric_prev2 metric_next 
   

Scheduled Functions

CCTK_POSTINITIAL (conditional)

  calck_copy_to_prev

  copy admbase::metric to calck::metric_prev

 

 Language:fortran
 Type: function

CCTK_POSTINITIAL (conditional)

  calck_copy_to_prev2

  copy admbase::metric to calck::metric_prev2

 

 Language:fortran
 Type: function

CCTK_POSTINITIAL (conditional)

  calck_copy_to_next

  copy admbase::metric to calck::metric_next

 

 Language:fortran
 Type: function

CCTK_POSTINITIAL (conditional)

  calck

  calculate k_ij from gamma_ij, alpha, and betaî

 

 Language:fortran
 Sync: admbase::curv
 Type: function

CCTK_POSTINITIAL (conditional)

  applybcs

  apply boundary conditions

 

 After:calck
 Type:group

Aliased Functions

 

Alias Name:        Function Name:
ApplyBCs CalcK_ApplyBCs