Public Member Functions
subroutine	triple_tensor_product_scalar (v, u, nu, hr, hs, ht)
	Computes the tensor product \( v =(H_t \otimes H_s \otimes H_r) u \). This operation is usually performed for spectral interpolation of a scalar field as defined by.

subroutine	triple_tensor_product_vector (v, u1, u2, u3, nu, hr, hs, ht)
	Computes the tensor product on a vector field \( \mathbf{v} =(H_t \otimes H_s \otimes H_r) \mathbf{u} \). This operation is usually performed for spectral interpolation on a 3D vector field \( \mathbf{u} = (u_1,u_2,u_3) \) as defined by.

Detailed Description

Definition at line 78 of file tensor.f90.

Member Function/Subroutine Documentation

subroutine tensor::triple_tensor_product::triple_tensor_product_scalar	(	real(kind=rp), intent(inout)	v,
		real(kind=rp), dimension(nu,nu,nu), intent(inout)	u,
		integer, intent(in)	nu,
		real(kind=rp), dimension(nu), intent(inout)	hr,
		real(kind=rp), dimension(nu), intent(inout)	hs,
		real(kind=rp), dimension(nu), intent(inout)	ht
	)

\begin{eqnarray*} v(r,s,t) = \sum_{i=0}^{N}{\sum_{j=0}^{N}{ \sum_{k=0}^{N}{u_{ijk}h_i(r)h_j(s)h_k(t)}}} \end{eqnarray*}

Parameters

v	Interpolated value (scalar).
u	Field values at the GLL points (e.g. velocity in x-direction).
nu	Size of the interpolation weights (usually `lx`).
Hr	Interpolation weights in the r-direction.
Hs	Interpolation weights in the s-direction.
Ht	Interpolation weights in the t-direction.

Definition at line 297 of file tensor.f90.

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subroutine tensor::triple_tensor_product::triple_tensor_product_vector	(	real(kind=rp), dimension(3), intent(inout)	v,
		real(kind=rp), dimension(nu,nu,nu), intent(inout)	u1,
		real(kind=rp), dimension(nu,nu,nu), intent(inout)	u2,
		real(kind=rp), dimension(nu,nu,nu), intent(inout)	u3,
		integer, intent(in)	nu,
		real(kind=rp), dimension(nu), intent(inout)	hr,
		real(kind=rp), dimension(nu), intent(inout)	hs,
		real(kind=rp), dimension(nu), intent(inout)	ht
	)

\begin{eqnarray*} \mathbf{v}(r,s,t) = \sum_{i=0}^{N}{\sum_{j=0}^{N}{ \sum_{k=0}^{N}{\mathbf{u}_{ijk}h_i(r)h_j(s)h_k(t)}}} \end{eqnarray*}

Parameters

v	Interpolated value (scalar).
u1	3D-array containing values at the GLL points (e.g. velocity).
u2	3D-array containing values at the GLL points (e.g. velocity).
u3	3D-array containing values at the GLL points (e.g. velocity).
nu	Size of the interpolation weights (usually `lx`).
Hr	Interpolation weights in the r-direction.
Hs	Interpolation weights in the s-direction.
Ht	Interpolation weights in the t-direction.

Definition at line 333 of file tensor.f90.

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