filters Module Reference

A module containing filter functions and subroutines. These functions are used to modify fields in a way that is useful for various simulations.

Functions/Subroutines
subroutine, public	smooth_step_field (F, edge0, edge1)
	Apply a smooth step function to a field. More...
subroutine, public	permeability_field (F, k_0, k_1, q)
	Apply a permeability function to a field. More...
subroutine, public	step_function_field (F, x0, value0, value1)
	Apply a step function to a field. More...

Function/Subroutine Documentation

permeability_field()

subroutine, public filters::permeability_field	(	type(field_t), intent(inout)	F,
		real(kind=rp), intent(in)	k_0,
		real(kind=rp), intent(in)	k_1,
		real(kind=rp), intent(in)	q
	)

The permeability function is defined as:

\[ k(x) = k_0 + (k_1 - k_0) x \frac{q + 1}{q + x}} \]

Parameters

[in,out]	F	Field to be modified.
[in]	k_0	Permeability at x=0.
[in]	k_1	Permeability at x=1.
[in]	q	Penalty factor.

Definition at line 89 of file filters.f90.

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smooth_step_field()

subroutine, public filters::smooth_step_field	(	type(field_t), intent(inout)	F,
		real(kind=rp), intent(in)	edge0,
		real(kind=rp), intent(in)	edge1
	)

The smooth step function is defined as:

\[ t = (x - edge0) / (edge1 - edge0) f(t) = \begin{cases} t^3 (t (6x - 15) + 10), & t \in [0, 1] \\ 0, & t \leq 0 \\ 1, & t \geq 1 \\ \end{cases} \]

Note

The step can be inverted by swapping edge0 and edge1.

Parameters

[in,out]	F	Field to be modified.
[in]	edge0	Edge giving output 0.
[in]	edge1	Edge giving output 1.

Definition at line 69 of file filters.f90.

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step_function_field()

subroutine, public filters::step_function_field	(	type(field_t), intent(inout)	F,
		real(kind=rp), intent(in)	x0,
		real(kind=rp), intent(in)	value0,
		real(kind=rp), intent(in)	value1
	)

Parameters

[in,out]	F	Field to be modified.
[in]	x0	Position of the step.
[in]	value0	Value of the field before the step.
[in]	value1	Value of the field after the step.

Definition at line 108 of file filters.f90.

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