mod_gradient_operator_cell_to_face Module Reference

Gradient operator from cells to faces.

Functions/Subroutines
subroutine	gradient_operator_cell_to_face (gradient, array, order)
	Gradient generic function.
subroutine	gradient_operator_cell_to_face_o2 (gradient, array)
	Gradient using \(2^{nd}\) order interpolation ( \(1^{st}\) order for non uniform meshes).
subroutine	gradient_operator_cell_to_face_o4 (gradient, array)
	Gradient using \(4^{th}\) order interpolation ( \(3^{rd}\) order for non uniform meshes).

Function/Subroutine Documentation

gradient_operator_cell_to_face()

subroutine mod_gradient_operator_cell_to_face::gradient_operator_cell_to_face	(	type(t_face_field), intent(inout)	gradient,
		double precision, dimension(:,:,:), intent(in)	array,
		integer, intent(in), optional	order )

Gradient using \(2^{nd}\) or \(4^{th}\) order interpolation.

The gradient of \( \phi \) is the vector

\begin{align} \nabla \phi &= \left( \frac{\partial \phi}{\partial x} , \frac{\partial \phi}{\partial y} , \frac{\partial \phi}{\partial z} \right) \,. \end{align}

Note

• on ghost nodes between processors, values are exchanged
• on ghost boundary nodes values are extrapolated (eg. on gradient(isu,*,*))

Parameters

[in,out]	gradient	the resulting gradient face field
[in]	array	the point quantity on which we want to compute the gradient
[in]	order	the order of spatial precision: 2 or 4 (default=2), enum_discretization_type

Todo

MCO: deal with point/mean quantity

gradient_operator_cell_to_face_o2()

subroutine mod_gradient_operator_cell_to_face::gradient_operator_cell_to_face_o2	(	type(t_face_field), intent(inout)	gradient,
		double precision, dimension(:,:,:), intent(in)	array )

Gradient using \(2^{nd}\) order interpolation ( \(1^{st}\) order for non uniform meshes).

The gradient of \( \phi \) is the vector

\begin{align} \nabla \phi &= \left( \frac{\partial \phi}{\partial x} , \frac{\partial \phi}{\partial y} , \frac{\partial \phi}{\partial z} \right) \,. \end{align}

Note

• second order for regular meshes
• on ghost nodes between processors, values are exchanged
• on ghost boundary nodes values are extrapolated (eg. on gradient(isu,*,*))

gradient_operator_cell_to_face_o4()

subroutine mod_gradient_operator_cell_to_face::gradient_operator_cell_to_face_o4	(	type(t_face_field), intent(inout)	gradient,
		double precision, dimension(:,:,:), intent(in)	array )

Gradient using \(4^{th}\) order interpolation ( \(3^{rd}\) order for non uniform meshes).

The gradient of \( \phi \) is the vector

\begin{align} \nabla \phi &= \left( \frac{\partial \phi}{\partial x} , \frac{\partial \phi}{\partial y} , \frac{\partial \phi}{\partial z} \right) \,. \end{align}

Note

• fourth order for regular meshes
• on ghost nodes between processors, values are exchanged
• on ghost boundary nodes values are extrapolated (eg. on gradient(isu,*,*))