eq_utilities::calc_inv_met Interface Reference

Calculate \(D_1^{m_1} D_2^{m_2} D_3^{m_3} X\) from \(D_1^{i_1} D_2^{i_2} D_3^{i_3} X\) and \(D_1^{j_1} D_2^{j_2} D_3^{j_3} Y\) where \(XY=1\) and \(i,j = 0\ldots m\), according to [17]. More...

Public Member Functions
integer function	calc_inv_met_ind (x, y, deriv)
	individual matrix version
integer function	calc_inv_met_arr (x, y, deriv)
integer function	calc_inv_met_ind_0d (x, y, deriv)
	individual scalar version
integer function	calc_inv_met_arr_0d (x, y, deriv)

Detailed Description

Calculate \(D_1^{m_1} D_2^{m_2} D_3^{m_3} X\) from \(D_1^{i_1} D_2^{i_2} D_3^{i_3} X\) and \(D_1^{j_1} D_2^{j_2} D_3^{j_3} Y\) where \(XY=1\) and \(i,j = 0\ldots m\), according to [17].

\(D_1^{m_1} D_2^{m_2} D_3^{m_3} \) is defined as \(\left(\frac{\partial}{\partial u^1}\right)^{m_1} \left(\frac{\partial}{\partial u^2}\right)^{m_2} \left(\frac{\partial}{\partial u^3}\right)^{m_3} \)

Note

It is assumed that the lower order derivatives have been calculated already. If not, the results will be incorrect.

Returns

ierr

Definition at line 61 of file eq_utilities.f90.

Member Function/Subroutine Documentation

calc_inv_met_arr()

integer function eq_utilities::calc_inv_met::calc_inv_met_arr	(	real(dp), dimension(1:,1:,1:,1:,0:,0:,0:), intent(inout)	x,
		real(dp), dimension(1:,1:,1:,1:,0:,0:,0:), intent(in)	y,
		integer, dimension(:,:), intent(in)	deriv )

Parameters

[in]

deriv

derivatives

Definition at line 321 of file eq_utilities.f90.

calc_inv_met_arr_0d()

integer function eq_utilities::calc_inv_met::calc_inv_met_arr_0d	(	real(dp), dimension(1:,1:,1:,0:,0:,0:), intent(inout)	x,
		real(dp), dimension(1:,1:,1:,0:,0:,0:), intent(in)	y,
		integer, dimension(:,:), intent(in)	deriv )

Parameters

[in]

deriv

derivatives

Definition at line 341 of file eq_utilities.f90.

calc_inv_met_ind()

integer function eq_utilities::calc_inv_met::calc_inv_met_ind	(	real(dp), dimension(1:,1:,1:,1:,0:,0:,0:), intent(inout)	x,
		real(dp), dimension(1:,1:,1:,1:,0:,0:,0:), intent(in)	y,
		integer, dimension(:), intent(in)	deriv )

individual matrix version

Parameters

[in]

deriv

derivatives

Definition at line 131 of file eq_utilities.f90.

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calc_inv_met_ind_0d()

integer function eq_utilities::calc_inv_met::calc_inv_met_ind_0d	(	real(dp), dimension(1:,1:,1:,0:,0:,0:), intent(inout)	x,
		real(dp), dimension(1:,1:,1:,0:,0:,0:), intent(in)	y,
		integer, dimension(:), intent(in)	deriv )

individual scalar version

Parameters

[in]

deriv

derivatives

Definition at line 260 of file eq_utilities.f90.

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The documentation for this interface was generated from the following file:

• /Users/toonweyens/Code/PB3D/Modules/eq_utilities.f90