m_helper Module Reference

Functions/Subroutines
subroutine, public	s_comp_n_from_prim (vftmp, rtmp, ntmp, weights)
	Computes the bubble number density n from the primitive variables.
subroutine, public	s_comp_n_from_cons (vftmp, nrtmp, ntmp, weights)
impure subroutine, public	s_print_2d_array (a, div)
impure subroutine, public	s_initialize_nonpoly
	Initializes non-polydisperse bubble modeling.
elemental subroutine, public	s_transcoeff (omega, peclet, re_trans, im_trans)
	Computes the transfer coefficient for the non-polytropic bubble compression process.
elemental subroutine, public	s_int_to_str (i, res)
subroutine, public	s_simpson (local_weight, local_r0)
	Computes the Simpson weights for quadrature.
pure real(wp) function, dimension(3), public	f_cross (a, b)
	This procedure computes the cross product of two vectors.
elemental subroutine, public	s_swap (lhs, rhs)
	This procedure swaps two real numbers.
real(wp) function, dimension(1:4, 1:4), public	f_create_transform_matrix (param, center)
	This procedure creates a transformation matrix.
subroutine, public	s_transform_vec (vec, matrix)
	This procedure transforms a vector by a matrix.
subroutine, public	s_transform_triangle (triangle, matrix, matrix_n)
	This procedure transforms a triangle by a matrix, one vertex at a time.
subroutine, public	s_transform_model (model, matrix, matrix_n)
	This procedure transforms a model by a matrix, one triangle at a time.
type(t_bbox) function, public	f_create_bbox (model)
	This procedure creates a bounding box for a model.
elemental logical function, public	f_xor (lhs, rhs)
	This procedure performs xor on lhs and rhs.
elemental integer function, public	f_logical_to_int (predicate)
	This procedure converts logical to 1 or 0.
recursive real(wp) function, public	unassociated_legendre (x, l)
	This function generates the unassociated legendre poynomials.
recursive real(wp) function, public	spherical_harmonic_func (x, phi, l, m_order)
	This function calculates the spherical harmonic function evaluated at x and phi.
recursive real(wp) function, public	associated_legendre (x, l, m_order)
	This function generates the associated legendre polynomials evaluated at x with inputs l and m.
elemental integer(kind=int64_kind) function, public	double_factorial (n_in)
	This function calculates the double factorial value of an integer.
elemental integer(kind=int64_kind) function, public	factorial (n_in)
	The following function calculates the factorial value of an integer.
real(wp) function, public	f_cut_on (x, eps)
	This function calculates a smooth cut-on function that is zero for x values smaller than zero and goes to one. It can be used for generating smooth initial conditions.
real(wp) function, public	f_cut_off (x, eps)
	This function calculates a smooth cut-off function that is one for x values smaller than zero and goes to zero. It can be used for generating smooth initial conditions.
real(wp) function	f_gx (x)
	This function is a helper function for the functions f_cut_on and f_cut_off.
subroutine, public	s_downsample_data (q_cons_vf, q_cons_temp, m_ds, n_ds, p_ds, m_glb_ds, n_glb_ds, p_glb_ds)
subroutine, public	s_upsample_data (q_cons_vf, q_cons_temp)

Function/Subroutine Documentation

associated_legendre()

recursive real(wp) function, public m_helper::associated_legendre	(	real(wp), intent(in)	x,
		integer, intent(in)	l,
		integer, intent(in)	m_order )

This function generates the associated legendre polynomials evaluated at x with inputs l and m.

Parameters

x	is the input value
l	is the degree
m_order	is the order

Returns

P is the associated legendre polynomial evaluated at x

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double_factorial()

elemental integer(kind=int64_kind) function, public m_helper::double_factorial

(

integer, intent(in)

n_in

)

This function calculates the double factorial value of an integer.

Parameters

n_in	is the input integer

Returns

R is the double factorial value of n

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f_create_bbox()

type(t_bbox) function, public m_helper::f_create_bbox

(

type(t_model), intent(in)

model

)

This procedure creates a bounding box for a model.

Parameters

model

Model to create bounding box for.

Returns

Bounding box.

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f_create_transform_matrix()

real(wp) function, dimension(1:4, 1:4), public m_helper::f_create_transform_matrix	(	type(ic_model_parameters), intent(in)	param,
		real(wp), dimension(1:3), intent(in), optional	center )

This procedure creates a transformation matrix.

Parameters

p	Parameters for the transformation.

Returns

Transformation matrix.

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f_cross()

pure real(wp) function, dimension(3), public m_helper::f_cross	(	real(wp), dimension(3), intent(in)	a,
		real(wp), dimension(3), intent(in)	b )

This procedure computes the cross product of two vectors.

Parameters

a	First vector.
b	Second vector.

Returns

The cross product of the two vectors.

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f_cut_off()

real(wp) function, public m_helper::f_cut_off	(	real(wp), intent(in)	x,
		real(wp), intent(in)	eps )

This function calculates a smooth cut-off function that is one for x values smaller than zero and goes to zero. It can be used for generating smooth initial conditions.

Parameters

x	is the input value
eps	is the smoothing parameter

Returns

fx is the cut-ff function evaluated at x

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f_cut_on()

real(wp) function, public m_helper::f_cut_on	(	real(wp), intent(in)	x,
		real(wp), intent(in)	eps )

This function calculates a smooth cut-on function that is zero for x values smaller than zero and goes to one. It can be used for generating smooth initial conditions.

Parameters

x	is the input value
eps	is the smoothing parameter

Returns

fx is the cut-on function evaluated at x

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f_gx()

real(wp) function m_helper::f_gx

(

real(wp), intent(in)

x

)

This function is a helper function for the functions f_cut_on and f_cut_off.

Parameters

x	is the input value

Returns

gx is the result

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f_logical_to_int()

elemental integer function, public m_helper::f_logical_to_int

(

logical, intent(in)

predicate

)

This procedure converts logical to 1 or 0.

Parameters

perdicate

A Logical argument.

Returns

1 if .true., 0 if .false..

f_xor()

elemental logical function, public m_helper::f_xor	(	logical, intent(in)	lhs,
		logical, intent(in)	rhs )

This procedure performs xor on lhs and rhs.

Parameters

lhs	logical input.
rhs	other logical input.

Returns

xored result.

factorial()

elemental integer(kind=int64_kind) function, public m_helper::factorial

(

integer, intent(in)

n_in

)

The following function calculates the factorial value of an integer.

Parameters

n_in	is the input integer

Returns

R is the factorial value of n

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s_comp_n_from_cons()

subroutine, public m_helper::s_comp_n_from_cons	(	real(wp), intent(in)	vftmp,
		real(wp), dimension(nb), intent(in)	nrtmp,
		real(wp), intent(out)	ntmp,
		real(wp), dimension(nb), intent(in)	weights )

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s_comp_n_from_prim()

subroutine, public m_helper::s_comp_n_from_prim	(	real(wp), intent(in)	vftmp,
		real(wp), dimension(nb), intent(in)	rtmp,
		real(wp), intent(out)	ntmp,
		real(wp), dimension(nb), intent(in)	weights )

Computes the bubble number density n from the primitive variables.

Parameters

vftmp	is the void fraction
Rtmp	is the bubble radii
ntmp	is the output number bubble density

s_downsample_data()

subroutine, public m_helper::s_downsample_data	(	type(scalar_field), dimension(sys_size), intent(inout)	q_cons_vf,
		type(scalar_field), dimension(sys_size), intent(inout)	q_cons_temp,
		integer, intent(inout)	m_ds,
		integer, intent(inout)	n_ds,
		integer, intent(inout)	p_ds,
		integer, intent(inout)	m_glb_ds,
		integer, intent(inout)	n_glb_ds,
		integer, intent(inout)	p_glb_ds )

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s_initialize_nonpoly()

impure subroutine, public m_helper::s_initialize_nonpoly

Initializes non-polydisperse bubble modeling.

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s_int_to_str()

elemental subroutine, public m_helper::s_int_to_str	(	integer, intent(in)	i,
		character(len=*), intent(inout)	res )

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s_print_2d_array()

impure subroutine, public m_helper::s_print_2d_array	(	real(wp), dimension(:, :), intent(in)	a,
		real(wp), intent(in), optional	div )

s_simpson()

subroutine, public m_helper::s_simpson	(	real(wp), dimension(:), intent(inout)	local_weight,
		real(wp), dimension(:), intent(inout)	local_r0 )

Computes the Simpson weights for quadrature.

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s_swap()

elemental subroutine, public m_helper::s_swap	(	real(wp), intent(inout)	lhs,
		real(wp), intent(inout)	rhs )

This procedure swaps two real numbers.

Parameters

lhs	Left-hand side.
rhs	Right-hand side.

s_transcoeff()

elemental subroutine, public m_helper::s_transcoeff	(	real(wp), intent(in)	omega,
		real(wp), intent(in)	peclet,
		real(wp), intent(out)	re_trans,
		real(wp), intent(out)	im_trans )

Computes the transfer coefficient for the non-polytropic bubble compression process.

Parameters

omega	natural frequencies
peclet	Peclet number
Re_trans	Real part of the transport coefficients
Im_trans	Imaginary part of the transport coefficients

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s_transform_model()

subroutine, public m_helper::s_transform_model	(	type(t_model), intent(inout)	model,
		real(wp), dimension(1:4, 1:4), intent(in)	matrix,
		real(wp), dimension(1:4, 1:4), intent(in)	matrix_n )

This procedure transforms a model by a matrix, one triangle at a time.

Parameters

model	Model to transform.
matrix	Transformation matrix.

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s_transform_triangle()

subroutine, public m_helper::s_transform_triangle	(	type(t_triangle), intent(inout)	triangle,
		real(wp), dimension(1:4, 1:4), intent(in)	matrix,
		real(wp), dimension(1:4, 1:4), intent(in)	matrix_n )

This procedure transforms a triangle by a matrix, one vertex at a time.

Parameters

triangle	Triangle to transform.
matrix	Transformation matrix.

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s_transform_vec()

subroutine, public m_helper::s_transform_vec	(	real(wp), dimension(1:3), intent(inout)	vec,
		real(wp), dimension(1:4, 1:4), intent(in)	matrix )

This procedure transforms a vector by a matrix.

Parameters

vec	Vector to transform.
matrix	Transformation matrix.

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s_upsample_data()

subroutine, public m_helper::s_upsample_data	(	type(scalar_field), dimension(sys_size), intent(inout)	q_cons_vf,
		type(scalar_field), dimension(sys_size), intent(inout)	q_cons_temp )

spherical_harmonic_func()

recursive real(wp) function, public m_helper::spherical_harmonic_func	(	real(wp), intent(in)	x,
		real(wp), intent(in)	phi,
		integer, intent(in)	l,
		integer, intent(in)	m_order )

This function calculates the spherical harmonic function evaluated at x and phi.

Parameters

x	is the x coordinate
phi	is the phi coordinate
l	is the degree
m_order	is the order

Returns

Y is the spherical harmonic function evaluated at x and phi

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unassociated_legendre()

recursive real(wp) function, public m_helper::unassociated_legendre	(	real(wp), intent(in)	x,
		integer, intent(in)	l )

This function generates the unassociated legendre poynomials.

Parameters

x	is the input value
l	is the degree

Returns

P is the unassociated legendre polynomial evaluated at x

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