Utilities used by the different spectral solver variants. More...

Data Types
type	tboundarycondition
	set of parameters defining a boundary condition More...

type	tloadcase

type	tnumerics

type	tsolutionparams

type	tsolutionstate
	return type of solution from spectral solver variants More...

Enumerations
enum

enum	{ derivative_continuous_id, derivative_central_diff_id, derivative_fwbw_diff_id }

Functions/Subroutines
subroutine, public	utilities_init
	allocates all neccessary fields, sets debug flags, create plans for FFTW More...

subroutine, public	utilities_updategamma (C)
	updates reference stiffness and potentially precalculated gamma operator More...

subroutine, public	utilities_ffttensorforward
	forward FFT of data in field_real to field_fourier More...

subroutine, public	utilities_ffttensorbackward
	backward FFT of data in field_fourier to field_real More...

subroutine, public	utilities_fftscalarforward
	forward FFT of data in scalarField_real to scalarField_fourier More...

subroutine, public	utilities_fftscalarbackward
	backward FFT of data in scalarField_fourier to scalarField_real More...

subroutine, public	utilities_fftvectorforward
	forward FFT of data in field_real to field_fourier with highest freqs. removed More...

subroutine, public	utilities_fftvectorbackward
	backward FFT of data in field_fourier to field_real More...

subroutine, public	utilities_fouriergammaconvolution (fieldAim)
	doing convolution gamma_hat * field_real, ensuring that average value = fieldAim More...

subroutine, public	utilities_fouriergreenconvolution (D_ref, mobility_ref, deltaT)
	doing convolution DamageGreenOp_hat * field_real More...

real(preal) function, public	utilities_divergencerms ()
	calculate root mean square of divergence of field_fourier More...

real(preal) function, public	utilities_curlrms ()
	calculate max of curl of field_fourier More...

real(preal) function, dimension(3, 3, 3, 3), public	utilities_maskedcompliance (rot_BC, mask_stress, C)
	calculates mask compliance tensor used to adjust F to fullfill stress BC More...

subroutine, public	utilities_fourierscalargradient ()
	calculate scalar gradient in fourier field More...

subroutine, public	utilities_fouriervectordivergence ()
	calculate vector divergence in fourier field More...

subroutine, public	utilities_fouriervectorgradient ()
	calculate vector gradient in fourier field More...

subroutine, public	utilities_fouriertensordivergence ()
	calculate tensor divergence in fourier field More...

subroutine, public	utilities_constitutiveresponse (P, P_av, C_volAvg, C_minmaxAvg, F, timeinc, rotation_BC)
	calculate constitutive response from materialpoint_F0 to F during timeinc More...

pure real(preal) function, dimension(3, 3, grid(1), grid(2), grid3), public	utilities_calculaterate (heterogeneous, field0, field, dt, avRate)
	calculates forward rate, either guessing or just add delta/timeinc More...

real(preal) function, dimension(3, 3, grid(1), grid(2), grid3), public	utilities_forwardfield (timeinc, field_lastInc, rate, aim)
	forwards a field with a pointwise given rate, if aim is given, ensures that the average matches the aim More...

pure complex(preal) function, dimension(3)	utilities_getfreqderivative (k_s)
	calculates filter for fourier convolution depending on type given in numerics.config More...

subroutine, public	utilities_updatecoords (F)
	calculate coordinates in current configuration for given defgrad field More...

subroutine, public	utilities_savereferencestiffness
	Write out the current reference stiffness for restart. More...

Variables
@, public	field_undefined_id

@, public	field_mech_id

@, public	field_thermal_id

@, public	field_damage_id

real(preal), public, protected	wgt
	weighting factor 1/Nelems More...

integer, public, protected	grid1red
	grid(1)/2 More...

real(preal), dimension(3), public, protected	scaledgeomsize
	scaled geometry size for calculation of divergence More...

real(c_double), dimension(:,:,:,:,:), pointer, public	tensorfield_real
	real representation (some stress or deformation) of field_fourier More...

complex(c_double_complex), dimension(:,:,:,:,:), pointer, public	tensorfield_fourier
	field on which the Fourier transform operates More...

real(c_double), dimension(:,:,:,:), pointer, public	vectorfield_real
	vector field real representation for fftw More...

complex(c_double_complex), dimension(:,:,:,:), pointer, public	vectorfield_fourier
	vector field fourier representation for fftw More...

real(c_double), dimension(:,:,:), pointer, public	scalarfield_real
	scalar field real representation for fftw More...

complex(c_double_complex), dimension(:,:,:), pointer, public	scalarfield_fourier
	scalar field fourier representation for fftw More...

complex(preal), dimension(:,:,:,:,:,:,:), allocatable, private	gamma_hat
	gamma operator (field) for spectral method More...

complex(preal), dimension(:,:,:,:), allocatable, private	xi1st
	wave vector field for first derivatives More...

complex(preal), dimension(:,:,:,:), allocatable, private	xi2nd
	wave vector field for second derivatives More...

real(preal), dimension(3, 3, 3, 3), private	c_ref
	mechanic reference stiffness More...

type(c_ptr), private	plantensorforth
	FFTW MPI plan P(x) to P(k) More...

type(c_ptr), private	plantensorback
	FFTW MPI plan F(k) to F(x) More...

type(c_ptr), private	planvectorforth
	FFTW MPI plan v(x) to v(k) More...

type(c_ptr), private	planvectorback
	FFTW MPI plan v(k) to v(x) More...

type(c_ptr), private	planscalarforth
	FFTW MPI plan s(x) to s(k) More...

type(c_ptr), private	planscalarback
	FFTW MPI plan s(k) to s(x) More...

logical, private	debuggeneral
	general debugging of spectral solver More...

logical, private	debugrotation
	also printing out results in lab frame More...

logical, private	debugpetsc
	use some in debug defined options for more verbose 1 solution More...

type(tnumerics)	num

integer(kind(derivative_continuous_id))	spectral_derivative_id

Detailed Description

Utilities used by the different spectral solver variants.

Author: Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH; Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH

Enumeration Type Documentation

◆ anonymous enum

anonymous enum

private

Definition at line 1481 of file spectral_utilities.f90.

◆ anonymous enum

anonymous enum

private

Enumerator
derivative_continuous_id
derivative_central_diff_id
derivative_fwbw_diff_id

Definition at line 1579 of file spectral_utilities.f90.

Function/Subroutine Documentation

◆ utilities_calculaterate()

pure real(preal) function, dimension(3,3,grid(1),grid(2),grid3), public spectral_utilities::utilities_calculaterate	(	logical, intent(in)	heterogeneous,
		real(preal), dimension(3,3,grid(1),grid(2),grid3), intent(in)	field0,
		real(preal), dimension(3,3,grid(1),grid(2),grid3), intent(in)	field,
		real(preal), intent(in)	dt,
		real(preal), dimension(3,3), intent(in)	avRate
	)

calculates forward rate, either guessing or just add delta/timeinc

Parameters

[in]	avrate	homogeneous addon
[in]	dt	timeinc between field0 and field
[in]	heterogeneous	calculate field of rates
[in]	field	data of current step

Parameters

field0 data of previous step

Definition at line 2341 of file spectral_utilities.f90.

References discretization_grid::grid, and discretization_grid::grid3.

Referenced by grid_mech_spectral_basic::grid_mech_spectral_basic_forward(), and grid_mech_spectral_polarisation::grid_mech_spectral_polarisation_forward().

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◆ utilities_constitutiveresponse()

subroutine, public spectral_utilities::utilities_constitutiveresponse	(	real(preal), dimension(3,3,grid(1),grid(2),grid3), intent(out)	P,
		real(preal), dimension(3,3), intent(out)	P_av,
		real(preal), dimension(3,3,3,3), intent(out)	C_volAvg,
		real(preal), dimension(3,3,3,3), intent(out)	C_minmaxAvg,
		real(preal), dimension(3,3,grid(1),grid(2),grid3), intent(in)	F,
		real(preal), intent(in)	timeinc,
		type(rotation), intent(in), optional	rotation_BC
	)

calculate constitutive response from materialpoint_F0 to F during timeinc

Parameters

[out]	c_minmaxavg	average stiffness
[out]	p_av	average PK stress
[out]	p	PK stress
[in]	f	deformation gradient target
[in]	timeinc	loading time
[in]	rotation_bc	rotation of load frame

Definition at line 2266 of file spectral_utilities.f90.

References debugrotation, discretization_grid::grid, discretization_grid::grid3, io::io_error(), homogenization::materialpoint_dpdf, homogenization::materialpoint_f, homogenization::materialpoint_p, homogenization::materialpoint_stressanditstangent(), prec::preal, wgt, and numerics::worldrank.

Referenced by grid_mech_spectral_basic::formresidual(), grid_mech_fem::formresidual(), grid_mech_spectral_polarisation::formresidual(), grid_mech_fem::grid_mech_fem_init(), grid_mech_spectral_basic::grid_mech_spectral_basic_init(), and grid_mech_spectral_polarisation::grid_mech_spectral_polarisation_init().

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◆ utilities_curlrms()

real(preal) function, public spectral_utilities::utilities_curlrms

calculate max of curl of field_fourier

Definition at line 2074 of file spectral_utilities.f90.

References discretization_grid::geomsize, discretization_grid::grid, grid1red, discretization_grid::grid3, io::io_error(), scaledgeomsize, tensorfield_fourier, wgt, and xi1st.

Referenced by grid_mech_spectral_polarisation::formresidual().

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◆ utilities_divergencerms()

real(preal) function, public spectral_utilities::utilities_divergencerms

calculate root mean square of divergence of field_fourier

Definition at line 2031 of file spectral_utilities.f90.

References discretization_grid::geomsize, discretization_grid::grid, grid1red, discretization_grid::grid3, io::io_error(), scaledgeomsize, tensorfield_fourier, wgt, and xi1st.

Referenced by grid_mech_spectral_basic::formresidual(), and grid_mech_spectral_polarisation::formresidual().

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◆ utilities_fftscalarbackward()

subroutine, public spectral_utilities::utilities_fftscalarbackward

backward FFT of data in scalarField_fourier to scalarField_real

Does an weighted inverse FFT transform from complex to real

Definition at line 1918 of file spectral_utilities.f90.

References planscalarback, scalarfield_fourier, scalarfield_real, and wgt.

Referenced by grid_damage_spectral::formresidual(), and grid_thermal_spectral::formresidual().

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◆ utilities_fftscalarforward()

subroutine, public spectral_utilities::utilities_fftscalarforward

forward FFT of data in scalarField_real to scalarField_fourier

Does an unweighted FFT transform from real to complex. Extra padding entries are set

Definition at line 1906 of file spectral_utilities.f90.

References discretization_grid::grid, grid1red, planscalarforth, scalarfield_fourier, and scalarfield_real.

Referenced by grid_damage_spectral::formresidual(), and grid_thermal_spectral::formresidual().

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◆ utilities_ffttensorbackward()

subroutine, public spectral_utilities::utilities_ffttensorbackward

backward FFT of data in field_fourier to field_real

Does an weighted inverse FFT transform from complex to real

Definition at line 1894 of file spectral_utilities.f90.

References plantensorback, tensorfield_fourier, tensorfield_real, and wgt.

Referenced by grid_mech_spectral_basic::formresidual(), and grid_mech_spectral_polarisation::formresidual().

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◆ utilities_ffttensorforward()

subroutine, public spectral_utilities::utilities_ffttensorforward

forward FFT of data in field_real to field_fourier

Does an unweighted FFT transform from real to complex. Extra padding entries are set

Definition at line 1882 of file spectral_utilities.f90.

References discretization_grid::grid, grid1red, plantensorforth, tensorfield_fourier, and tensorfield_real.

Referenced by grid_mech_spectral_basic::formresidual(), grid_mech_spectral_polarisation::formresidual(), and utilities_updatecoords().

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◆ utilities_fftvectorbackward()

subroutine, public spectral_utilities::utilities_fftvectorbackward

backward FFT of data in field_fourier to field_real

Does an weighted inverse FFT transform from complex to real

Definition at line 1943 of file spectral_utilities.f90.

References planvectorback, vectorfield_fourier, vectorfield_real, and wgt.

Referenced by grid_damage_spectral::formresidual(), and grid_thermal_spectral::formresidual().

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◆ utilities_fftvectorforward()

subroutine, public spectral_utilities::utilities_fftvectorforward

forward FFT of data in field_real to field_fourier with highest freqs. removed

Does an unweighted FFT transform from real to complex. Extra padding entries are set

Definition at line 1931 of file spectral_utilities.f90.

References discretization_grid::grid, grid1red, planvectorforth, vectorfield_fourier, and vectorfield_real.

Referenced by grid_damage_spectral::formresidual(), and grid_thermal_spectral::formresidual().

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◆ utilities_forwardfield()

real(preal) function, dimension(3,3,grid(1),grid(2),grid3), public spectral_utilities::utilities_forwardfield	(	real(preal), intent(in)	timeinc,
		real(preal), dimension(3,3,grid(1),grid(2),grid3), intent(in)	field_lastInc,
		real(preal), dimension(3,3,grid(1),grid(2),grid3), intent(in)	rate,
		real(preal), dimension(3,3), intent(in), optional	aim
	)

forwards a field with a pointwise given rate, if aim is given, ensures that the average matches the aim

Parameters

[in]	timeinc	timeinc of current step
[in]	rate	rate by which to forward
[in]	aim	average field value aim

Parameters

field_lastInc initial field

Definition at line 2368 of file spectral_utilities.f90.

References discretization_grid::grid, discretization_grid::grid3, and wgt.

Referenced by grid_mech_spectral_basic::grid_mech_spectral_basic_forward(), and grid_mech_spectral_polarisation::grid_mech_spectral_polarisation_forward().

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◆ utilities_fouriergammaconvolution()

subroutine, public spectral_utilities::utilities_fouriergammaconvolution ( real(preal), dimension(3,3), intent(in) fieldAim )

doing convolution gamma_hat * field_real, ensuring that average value = fieldAim

Parameters

[in] fieldaim desired average value of the field after convolution

Definition at line 1954 of file spectral_utilities.f90.

References c_ref, gamma_hat, discretization_grid::grid, grid1red, discretization_grid::grid3, discretization_grid::grid3offset, math::math_det33(), math::math_invert(), num, prec::preal, tensorfield_fourier, wgt, and xi1st.

Referenced by grid_mech_spectral_basic::formresidual(), and grid_mech_spectral_polarisation::formresidual().

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◆ utilities_fouriergreenconvolution()

subroutine, public spectral_utilities::utilities_fouriergreenconvolution	(	real(preal), dimension(3,3), intent(in)	D_ref,
		real(preal), intent(in)	mobility_ref,
		real(preal), intent(in)	deltaT
	)

doing convolution DamageGreenOp_hat * field_real

Definition at line 2009 of file spectral_utilities.f90.

References discretization_grid::grid, grid1red, discretization_grid::grid3, prec::preal, scalarfield_fourier, and xi1st.

Referenced by grid_damage_spectral::formresidual(), and grid_thermal_spectral::formresidual().

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◆ utilities_fourierscalargradient()

subroutine, public spectral_utilities::utilities_fourierscalargradient

calculate scalar gradient in fourier field

Definition at line 2207 of file spectral_utilities.f90.

References discretization_grid::grid, grid1red, discretization_grid::grid3, scalarfield_fourier, vectorfield_fourier, and xi1st.

Referenced by grid_damage_spectral::formresidual(), and grid_thermal_spectral::formresidual().

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◆ utilities_fouriertensordivergence()

subroutine, public spectral_utilities::utilities_fouriertensordivergence

calculate tensor divergence in fourier field

Definition at line 2251 of file spectral_utilities.f90.

References discretization_grid::grid, grid1red, discretization_grid::grid3, tensorfield_fourier, vectorfield_fourier, and xi1st.

◆ utilities_fouriervectordivergence()

subroutine, public spectral_utilities::utilities_fouriervectordivergence

calculate vector divergence in fourier field

Definition at line 2221 of file spectral_utilities.f90.

References discretization_grid::grid, grid1red, discretization_grid::grid3, scalarfield_fourier, vectorfield_fourier, and xi1st.

Referenced by grid_damage_spectral::formresidual(), and grid_thermal_spectral::formresidual().

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◆ utilities_fouriervectorgradient()

subroutine, public spectral_utilities::utilities_fouriervectorgradient

calculate vector gradient in fourier field

Definition at line 2235 of file spectral_utilities.f90.

References discretization_grid::grid, grid1red, discretization_grid::grid3, tensorfield_fourier, vectorfield_fourier, and xi1st.

◆ utilities_getfreqderivative()

pure complex(preal) function, dimension(3) spectral_utilities::utilities_getfreqderivative ( integer, dimension(3), intent(in) k_s )

private

calculates filter for fourier convolution depending on type given in numerics.config

this is the full operator to calculate derivatives, i.e. 2 \pi i k for the

Parameters

[in] k_s indices of frequency

Definition at line 2399 of file spectral_utilities.f90.

References derivative_central_diff_id, derivative_continuous_id, derivative_fwbw_diff_id, discretization_grid::geomsize, discretization_grid::grid, math::pi, prec::preal, and spectral_derivative_id.

Referenced by utilities_init().

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◆ utilities_init()

subroutine, public spectral_utilities::utilities_init

allocates all neccessary fields, sets debug flags, create plans for FFTW

Sets the debug levels for general, divergence, restart, and FFTW from the bitwise coding provided by the debug module to logicals. Allocate all fields used by FFTW and create the corresponding plans depending on the debug level chosen. Initializes FFTW.

Definition at line 1627 of file spectral_utilities.f90.

References config::config_numerics, debug::debug_level, debug::debug_levelbasic, debug::debug_spectral, debug::debug_spectralpetsc, debug::debug_spectralrotation, debuggeneral, debugpetsc, debugrotation, derivative_central_diff_id, derivative_continuous_id, derivative_fwbw_diff_id, gamma_hat, discretization_grid::geomsize, discretization_grid::grid, grid1red, discretization_grid::grid3, discretization_grid::grid3offset, io::io_error(), io::io_lc(), io::io_warning(), num, debug::petscdebug, planscalarback, planscalarforth, plantensorback, plantensorforth, planvectorback, planvectorforth, prec::preal, scalarfield_fourier, scalarfield_real, scaledgeomsize, spectral_derivative_id, tensorfield_fourier, tensorfield_real, utilities_getfreqderivative(), vectorfield_fourier, vectorfield_real, wgt, xi1st, and xi2nd.

Referenced by damask_spectral().

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◆ utilities_maskedcompliance()

real(preal) function, dimension(3,3,3,3), public spectral_utilities::utilities_maskedcompliance	(	type(rotation), intent(in)	rot_BC,
		logical, dimension(3,3), intent(in)	mask_stress,
		real(preal), dimension(3,3,3,3), intent(in)	C
	)

calculates mask compliance tensor used to adjust F to fullfill stress BC

Returns: masked compliance

Parameters

[in]	c	current average stiffness
[in]	rot_bc	rotation of load frame
[in]	mask_stress	mask of stress BC

Definition at line 2135 of file spectral_utilities.f90.

References debuggeneral, prec::dneq(), io::io_error(), math::math_3333to99(), math::math_99to3333(), math::math_identity2nd(), and math::math_invert().

Referenced by grid_mech_fem::grid_mech_fem_solution(), grid_mech_spectral_basic::grid_mech_spectral_basic_solution(), and grid_mech_spectral_polarisation::grid_mech_spectral_polarisation_solution().

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◆ utilities_savereferencestiffness()

subroutine, public spectral_utilities::utilities_savereferencestiffness

Write out the current reference stiffness for restart.

Definition at line 2548 of file spectral_utilities.f90.

References c_ref, damask_interface::getsolverjobname(), io::io_open_binary(), and numerics::worldrank.

Referenced by grid_mech_spectral_basic::grid_mech_spectral_basic_init(), grid_mech_spectral_basic::grid_mech_spectral_basic_restartwrite(), grid_mech_spectral_polarisation::grid_mech_spectral_polarisation_init(), and grid_mech_spectral_polarisation::grid_mech_spectral_polarisation_restartwrite().

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◆ utilities_updatecoords()

subroutine, public spectral_utilities::utilities_updatecoords ( real(preal), dimension(3,3,grid(1),grid(2),grid3), intent(in) F )

calculate coordinates in current configuration for given defgrad field

Definition at line 2447 of file spectral_utilities.f90.

References discretization::discretization_setipcoords(), discretization::discretization_setnodecoords(), discretization_grid::geomsize, discretization_grid::grid, grid1red, discretization_grid::grid3, discretization_grid::grid3offset, io::io_error(), planvectorback, prec::preal, tensorfield_fourier, tensorfield_real, utilities_ffttensorforward(), vectorfield_fourier, vectorfield_real, wgt, numerics::worldrank, numerics::worldsize, and xi2nd.

Referenced by grid_mech_fem::grid_mech_fem_init(), grid_mech_fem::grid_mech_fem_updatecoords(), grid_mech_spectral_basic::grid_mech_spectral_basic_init(), grid_mech_spectral_basic::grid_mech_spectral_basic_updatecoords(), grid_mech_spectral_polarisation::grid_mech_spectral_polarisation_init(), and grid_mech_spectral_polarisation::grid_mech_spectral_polarisation_updatecoords().

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◆ utilities_updategamma()

subroutine, public spectral_utilities::utilities_updategamma ( real(preal), dimension(3,3,3,3), intent(in) C )

updates reference stiffness and potentially precalculated gamma operator

Sets the current reference stiffness to the stiffness given as an argument. If the gamma operator is precalculated, it is calculated with this stiffness. In case of an on-the-fly calculation, only the reference stiffness is updated.

Parameters

[in] c input stiffness to store as reference stiffness

Definition at line 1841 of file spectral_utilities.f90.

References c_ref, gamma_hat, discretization_grid::grid, grid1red, discretization_grid::grid3, discretization_grid::grid3offset, math::math_det33(), math::math_invert(), num, prec::preal, and xi1st.

Referenced by grid_mech_spectral_basic::grid_mech_spectral_basic_init(), grid_mech_spectral_basic::grid_mech_spectral_basic_solution(), grid_mech_spectral_polarisation::grid_mech_spectral_polarisation_init(), and grid_mech_spectral_polarisation::grid_mech_spectral_polarisation_solution().

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Variable Documentation

◆ c_ref

real(preal), dimension(3,3,3,3), private spectral_utilities::c_ref

private

mechanic reference stiffness

Definition at line 1506 of file spectral_utilities.f90.

Referenced by utilities_fouriergammaconvolution(), utilities_savereferencestiffness(), and utilities_updategamma().

◆ debuggeneral

logical, private spectral_utilities::debuggeneral

private

general debugging of spectral solver

Definition at line 1521 of file spectral_utilities.f90.

Referenced by utilities_init(), and utilities_maskedcompliance().

◆ debugpetsc

logical, private spectral_utilities::debugpetsc

private

use some in debug defined options for more verbose 1 solution

Definition at line 1521 of file spectral_utilities.f90.

Referenced by utilities_init().

◆ debugrotation

logical, private spectral_utilities::debugrotation

private

also printing out results in lab frame

Definition at line 1521 of file spectral_utilities.f90.

Referenced by utilities_constitutiveresponse(), and utilities_init().

◆ field_damage_id

@, public spectral_utilities::field_damage_id

Definition at line 1485 of file spectral_utilities.f90.

Referenced by damask_spectral().

◆ field_mech_id

@, public spectral_utilities::field_mech_id

Definition at line 1485 of file spectral_utilities.f90.

Referenced by damask_spectral().

◆ field_thermal_id

@, public spectral_utilities::field_thermal_id

Definition at line 1485 of file spectral_utilities.f90.

Referenced by damask_spectral().

◆ field_undefined_id

@, public spectral_utilities::field_undefined_id

Definition at line 1485 of file spectral_utilities.f90.

◆ gamma_hat

complex(preal), dimension(:,:,:,:,:,:,:), allocatable, private spectral_utilities::gamma_hat

private

gamma operator (field) for spectral method

Definition at line 1503 of file spectral_utilities.f90.

Referenced by utilities_fouriergammaconvolution(), utilities_init(), and utilities_updategamma().

◆ grid1red

integer, public, protected spectral_utilities::grid1red

grid(1)/2

Definition at line 1491 of file spectral_utilities.f90.

Referenced by utilities_curlrms(), utilities_divergencerms(), utilities_fftscalarforward(), utilities_ffttensorforward(), utilities_fftvectorforward(), utilities_fouriergammaconvolution(), utilities_fouriergreenconvolution(), utilities_fourierscalargradient(), utilities_fouriertensordivergence(), utilities_fouriervectordivergence(), utilities_fouriervectorgradient(), utilities_init(), utilities_updatecoords(), and utilities_updategamma().

◆ num

type(tnumerics) spectral_utilities::num

private

Definition at line 1577 of file spectral_utilities.f90.

Referenced by utilities_fouriergammaconvolution(), utilities_init(), and utilities_updategamma().

◆ planscalarback

type(c_ptr), private spectral_utilities::planscalarback

private

FFTW MPI plan s(k) to s(x)

Definition at line 1511 of file spectral_utilities.f90.

Referenced by utilities_fftscalarbackward(), and utilities_init().

◆ planscalarforth

type(c_ptr), private spectral_utilities::planscalarforth

private

FFTW MPI plan s(x) to s(k)

Definition at line 1511 of file spectral_utilities.f90.

Referenced by utilities_fftscalarforward(), and utilities_init().

◆ plantensorback

type(c_ptr), private spectral_utilities::plantensorback

private

FFTW MPI plan F(k) to F(x)

Definition at line 1511 of file spectral_utilities.f90.

Referenced by utilities_ffttensorbackward(), and utilities_init().

◆ plantensorforth

type(c_ptr), private spectral_utilities::plantensorforth

private

FFTW MPI plan P(x) to P(k)

Definition at line 1511 of file spectral_utilities.f90.

Referenced by utilities_ffttensorforward(), and utilities_init().

◆ planvectorback

type(c_ptr), private spectral_utilities::planvectorback

private

FFTW MPI plan v(k) to v(x)

Definition at line 1511 of file spectral_utilities.f90.

Referenced by utilities_fftvectorbackward(), utilities_init(), and utilities_updatecoords().

◆ planvectorforth

type(c_ptr), private spectral_utilities::planvectorforth

private

FFTW MPI plan v(x) to v(k)

Definition at line 1511 of file spectral_utilities.f90.

Referenced by utilities_fftvectorforward(), and utilities_init().

◆ scalarfield_fourier

complex(c_double_complex), dimension(:,:,:), pointer, public spectral_utilities::scalarfield_fourier

scalar field fourier representation for fftw

Definition at line 1502 of file spectral_utilities.f90.

Referenced by utilities_fftscalarbackward(), utilities_fftscalarforward(), utilities_fouriergreenconvolution(), utilities_fourierscalargradient(), utilities_fouriervectordivergence(), and utilities_init().

◆ scalarfield_real

real(c_double), dimension(:,:,:), pointer, public spectral_utilities::scalarfield_real

scalar field real representation for fftw

Definition at line 1501 of file spectral_utilities.f90.

Referenced by grid_damage_spectral::formresidual(), grid_thermal_spectral::formresidual(), utilities_fftscalarbackward(), utilities_fftscalarforward(), and utilities_init().

◆ scaledgeomsize

real(preal), dimension(3), public, protected spectral_utilities::scaledgeomsize

scaled geometry size for calculation of divergence

Definition at line 1492 of file spectral_utilities.f90.

Referenced by grid_mech_fem::converged(), utilities_curlrms(), utilities_divergencerms(), and utilities_init().

◆ spectral_derivative_id

integer(kind(derivative_continuous_id)) spectral_utilities::spectral_derivative_id

private

Definition at line 1585 of file spectral_utilities.f90.

Referenced by utilities_getfreqderivative(), and utilities_init().

◆ tensorfield_fourier

complex(c_double_complex), dimension(:,:,:,:,:), pointer, public spectral_utilities::tensorfield_fourier

field on which the Fourier transform operates

Definition at line 1498 of file spectral_utilities.f90.

Referenced by utilities_curlrms(), utilities_divergencerms(), utilities_ffttensorbackward(), utilities_ffttensorforward(), utilities_fouriergammaconvolution(), utilities_fouriertensordivergence(), utilities_fouriervectorgradient(), utilities_init(), and utilities_updatecoords().

◆ tensorfield_real

real (c_double), dimension(:,:,:,:,:), pointer, public spectral_utilities::tensorfield_real

real representation (some stress or deformation) of field_fourier

Definition at line 1497 of file spectral_utilities.f90.

Referenced by grid_mech_spectral_basic::formresidual(), grid_mech_spectral_polarisation::formresidual(), utilities_ffttensorbackward(), utilities_ffttensorforward(), utilities_init(), and utilities_updatecoords().

◆ vectorfield_fourier

complex(c_double_complex), dimension(:,:,:,:), pointer, public spectral_utilities::vectorfield_fourier

vector field fourier representation for fftw

Definition at line 1500 of file spectral_utilities.f90.

Referenced by utilities_fftvectorbackward(), utilities_fftvectorforward(), utilities_fourierscalargradient(), utilities_fouriertensordivergence(), utilities_fouriervectordivergence(), utilities_fouriervectorgradient(), utilities_init(), and utilities_updatecoords().

◆ vectorfield_real

real(c_double), dimension(:,:,:,:), pointer, public spectral_utilities::vectorfield_real

vector field real representation for fftw

Definition at line 1499 of file spectral_utilities.f90.

Referenced by grid_damage_spectral::formresidual(), grid_thermal_spectral::formresidual(), utilities_fftvectorbackward(), utilities_fftvectorforward(), utilities_init(), and utilities_updatecoords().

◆ wgt

real(preal), public, protected spectral_utilities::wgt

weighting factor 1/Nelems

Definition at line 1490 of file spectral_utilities.f90.

Referenced by grid_mech_fem::converged(), grid_mech_spectral_polarisation::formresidual(), grid_damage_spectral::updatereference(), grid_thermal_spectral::updatereference(), utilities_constitutiveresponse(), utilities_curlrms(), utilities_divergencerms(), utilities_fftscalarbackward(), utilities_ffttensorbackward(), utilities_fftvectorbackward(), utilities_forwardfield(), utilities_fouriergammaconvolution(), utilities_init(), and utilities_updatecoords().

◆ xi1st

complex(preal), dimension(:,:,:,:), allocatable, private spectral_utilities::xi1st

private

wave vector field for first derivatives

Definition at line 1504 of file spectral_utilities.f90.

Referenced by utilities_curlrms(), utilities_divergencerms(), utilities_fouriergammaconvolution(), utilities_fouriergreenconvolution(), utilities_fourierscalargradient(), utilities_fouriertensordivergence(), utilities_fouriervectordivergence(), utilities_fouriervectorgradient(), utilities_init(), and utilities_updategamma().

◆ xi2nd

complex(preal), dimension(:,:,:,:), allocatable, private spectral_utilities::xi2nd

private

wave vector field for second derivatives

Definition at line 1505 of file spectral_utilities.f90.

Referenced by utilities_init(), and utilities_updatecoords().

Data Types

Enumerations

Functions/Subroutines

Variables

Detailed Description

Enumeration Type Documentation

◆ anonymous enum

◆ anonymous enum

Function/Subroutine Documentation

◆ utilities_calculaterate()

◆ utilities_constitutiveresponse()

◆ utilities_curlrms()

◆ utilities_divergencerms()

◆ utilities_fftscalarbackward()

◆ utilities_fftscalarforward()

◆ utilities_ffttensorbackward()

◆ utilities_ffttensorforward()

◆ utilities_fftvectorbackward()

◆ utilities_fftvectorforward()

◆ utilities_forwardfield()

◆ utilities_fouriergammaconvolution()

◆ utilities_fouriergreenconvolution()

◆ utilities_fourierscalargradient()

◆ utilities_fouriertensordivergence()

◆ utilities_fouriervectordivergence()

◆ utilities_fouriervectorgradient()

◆ utilities_getfreqderivative()

◆ utilities_init()

◆ utilities_maskedcompliance()

◆ utilities_savereferencestiffness()

◆ utilities_updatecoords()

◆ utilities_updategamma()

Variable Documentation

◆ c_ref

◆ debuggeneral

◆ debugpetsc

◆ debugrotation

◆ field_damage_id

◆ field_mech_id

◆ field_thermal_id

◆ field_undefined_id

◆ gamma_hat

◆ grid1red

◆ num

◆ planscalarback

◆ planscalarforth

◆ plantensorback

◆ plantensorforth

◆ planvectorback

◆ planvectorforth

◆ scalarfield_fourier

◆ scalarfield_real

◆ scaledgeomsize

◆ spectral_derivative_id

◆ tensorfield_fourier

◆ tensorfield_real

◆ vectorfield_fourier

◆ vectorfield_real

◆ wgt

◆ xi1st

◆ xi2nd