spectral_error Module Reference

Implements type spectral_error_t.

Data Types
type	spectral_error_t
	Provides tools to calculate the spectral error indicator. More...

Functions/Subroutines
subroutine	spectral_error_init (this, json, case)
	Constructor. More...
subroutine	spectral_error_init_from_attributes (this, coef)
	Actual constructor. More...
subroutine	spectral_error_free (this)
	Destructor. More...
subroutine	spectral_error_compute (this, t, tstep)
	Compute the spectral error indicator. More...
subroutine	transform_to_spec_or_phys (u_hat, u, wk, coef, space)
	Transform a field u to u_hat into physical or spectral space the result of the transformation is in u_hat. More...
subroutine	spectral_error_get_indicators (this, coef)
	Transform and get the spectral error indicators. More...
subroutine	spectral_error_write (this, t)
	Write error indicators in a field file. More...
subroutine	calculate_indicators (this, coef, eind, sig, lnelt, LX1, LY1, LZ1, var)
	Wrapper for old fortran 77 subroutines. More...
subroutine	speri_var (this, est, sig, var, nell, xa, xb, LX1, LY1, LZ1)
	Calculate the indicator in a specified variable. More...
subroutine	speri_extrap (this, estx, sigx, coef11, coef, ix_st, ix_en, nyl, nzl)
	Extrapolate the Legendre spectrum from the last points. More...

Function/Subroutine Documentation

calculate_indicators()

subroutine spectral_error::calculate_indicators ( type(spectral_error_t), intent(inout)  this, type(coef_t), intent(in)  coef, real(kind=rp), dimension(lnelt)  eind, real(kind=rp), dimension(lnelt)  sig, integer  lnelt, integer  LX1, integer  LY1, integer  LZ1, real(kind=rp), dimension(lx1,ly1,lz1,lnelt)  var  )

private

Parameters

coef	coef type
eind	spectral indicator
sig	coefficient of the exponential fit
lnelt	number of elements
LX1	gll points in x
LY1	gll points in y
LZ1	gll points in z @paran var variable to calculate indicator

Definition at line 366 of file spectral_error.f90.

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spectral_error_compute()

subroutine spectral_error::spectral_error_compute ( class(spectral_error_t), intent(inout)  this, real(kind=rp), intent(in)  t, integer, intent(in)  tstep  )

private

Copy the element indicator into all points of the field

Definition at line 229 of file spectral_error.f90.

spectral_error_free()

subroutine spectral_error::spectral_error_free ( class(spectral_error_t), intent(inout)  this )

private

Definition at line 187 of file spectral_error.f90.

spectral_error_get_indicators()

subroutine spectral_error::spectral_error_get_indicators ( class(spectral_error_t), intent(inout)  this, type(coef_t), intent(inout)  coef  )

private

Parameters

coef	type coef for mesh parameters and space

Definition at line 318 of file spectral_error.f90.

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spectral_error_init()

subroutine spectral_error::spectral_error_init	(	class(spectral_error_t), intent(inout)	this,
		type(json_file), intent(inout)	json,
		class(case_t), intent(inout), target	case
	)

Add keyword "fields" to the json so that the field writer

Definition at line 114 of file spectral_error.f90.

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spectral_error_init_from_attributes()

subroutine spectral_error::spectral_error_init_from_attributes ( class(spectral_error_t), intent(inout)  this, type(coef_t), intent(in)  coef  )

private

Parameters

coef	type with all geometrical variables.

Initialize fields and copy data from proper one

Allocate arrays (Consider moving some to coef)

The following code has been lifted from Adam's implementation

Definition at line 137 of file spectral_error.f90.

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spectral_error_write()

subroutine spectral_error::spectral_error_write ( class(spectral_error_t), intent(inout)  this, real(kind=rp), intent(in)  t  )

private

Parameters

t	Current simulation time.

Write the file Remember that the list is already ponting to the fields that were just modified.

Definition at line 343 of file spectral_error.f90.

speri_extrap()

subroutine spectral_error::speri_extrap ( type(spectral_error_t), intent(inout)  this, real(kind=rp)  estx, real(kind=rp)  sigx, real(kind=rp)  coef11, real(kind=rp), dimension(this%seri_np_max,nyl,nzl)  coef, integer  ix_st, integer  ix_en, integer  nyl, integer  nzl  )

private

Parameters

estx	spectral indicator
sigx	coefficient of the exponential fit
coef11	legendre coefficients @paran coef legendre coefficients @paran ix_st argument list @paran ix_en argument list
nyl	argument list
nzl	argument list
ix_st	argument list
ix_en	argument list
nyl	argument list
nzl	argument list
coef	Legendre coefficients; last SERI_NP columns
coef11	Legendre coefficients; first value coeff(1,1,1)
estx	estimated error and decay rate
sigx	estimated error and decay rate

local variables

Definition at line 523 of file spectral_error.f90.

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speri_var()

subroutine spectral_error::speri_var ( type(spectral_error_t), intent(inout)  this, real(kind=rp), dimension(nell)  est, real(kind=rp), dimension(nell)  sig, real(kind=rp), dimension(lx1,ly1,lz1,nell)  var, integer  nell, real(kind=rp), dimension(lx1,ly1,lz1)  xa, real(kind=rp), dimension(lx1,ly1,lz1)  xb, integer  LX1, integer  LY1, integer  LZ1  )

private

Parameters

est	spectral indicator
sig	coefficient of the exponential fit
nell	number of elements @paran var variable to calculate indicator @paran xa work array @paran xb work array
LX1	gll points in x
LY1	gll points in y
LZ1	gll points in z

local variables

polynomial coefficients

Legendre coefficients; first value coeff(1,1,1)

copy of last SERI_NP columns of coefficients

estimated error

estimated decay rate

loop over elements

go to Legendre space (done in two operations) and square the coefficient

lower left corner

small value; nothing to od

extrapolate coefficients X - direction copy last SERI_NP collumns (or less if NX1 is smaller) SERI_ELR allows to exclude last row

get extrapolated values

Y - direction copy last SERI_NP collumns (or less if NY1 is smaller) SERI_ELR allows to exclude last row

get extrapolated values

Z - direction copy last SERI_NP collumns (or less if NZ1 is smaller) SERI_ELR allows to exclude last row

get extrapolated values

average

for testing

for testing; end

Definition at line 401 of file spectral_error.f90.

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transform_to_spec_or_phys()

subroutine spectral_error::transform_to_spec_or_phys ( type(field_t), intent(inout)  u_hat, type(field_t), intent(inout)  u, type(field_t), intent(inout)  wk, type(coef_t), intent(inout)  coef, character(len=4), intent(in)  space  )

private

Parameters

u_hat	Transformed field (output).
u	Field to transform (input).
wk	Working field.
coef	Type coef for mesh parameters.
space	String that indicates which space to transform, "spec" or "phys".

Define some constants

Copy field to working array

Definition at line 274 of file spectral_error.f90.

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