Utilities for postprocessing and computing derived variables

Functions/Subroutines
subroutine	mxm (a, n1, b, n2, c, n3)
	Compute matrix-matrix product C = A*B for contiguously packed matrices A,B, and C. More...
subroutine	local_grad3 (ur, us, ut, u, N, e, D, Dt)
	Uses mxm() to compute gradient of 3D arrays. More...
subroutine	local_grad2 (ur, us, u, N, e, D, Dt)
	Uses mxm() to compute gradient of 2D arrays. More...
subroutine	lambda2 (l2)
	Generate Lambda-2 vortex of Jeong & Hussein, JFM '95. More...
subroutine	comp_gije (gije, u, v, w, e)
	Compute the gradient tensor G_ij := du_i/du_j, for element e. More...
subroutine	comp_sije (gije)
	Compute symmetric part of a tensor gije for element. Does not call any other subroutine, but simply evaluates: \[ G_{ij} = \frac{1}{2}(G_{ij} + G_{ji}) \] \[ G_{ji} = G_{ij} \] . More...

Detailed Description

Function/Subroutine Documentation

comp_gije()

subroutine comp_gije	(	real, dimension(lx1*ly1*lz1,ldim,ldim)	gije,
		real, dimension (lx1*ly1*lz1)	u,
		real, dimension (lx1*ly1*lz1)	v,
		real, dimension (lx1*ly1*lz1)	w,
		integer	e
	)

Compute the gradient tensor G_ij := du_i/du_j, for element e.

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comp_sije()

subroutine comp_sije

(

real, dimension(lx1*ly1*lz1,ldim,ldim)

gije

)

Compute symmetric part of a tensor gije for element. Does not call any other subroutine, but simply evaluates:

\[ G_{ij} = \frac{1}{2}(G_{ij} + G_{ji}) \]

\[ G_{ji} = G_{ij} \]

.

Parameters

[in,out]

gije

a 3D array whose first index iterates over all points in an element

lambda2()

subroutine lambda2

(

real, dimension(lx1,ly1,lz1,1)

l2

)

Generate Lambda-2 vortex of Jeong & Hussein, JFM '95.

local_grad2()

subroutine local_grad2	(	real, dimension(0:n,0:n)	ur,
		real, dimension(0:n,0:n)	us,
		real, dimension (0:n,0:n,1)	u,
			N,
		integer	e,
		real, dimension (0:n,0:n)	D,
		real, dimension(0:n,0:n)	Dt
	)

Uses mxm() to compute gradient of 2D arrays.

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local_grad3()

subroutine local_grad3	(	real, dimension(0:n,0:n,0:n)	ur,
		real, dimension(0:n,0:n,0:n)	us,
		real, dimension(0:n,0:n,0:n)	ut,
		real, dimension (0:n,0:n,0:n,1)	u,
			N,
		integer	e,
		real, dimension (0:n,0:n)	D,
		real, dimension(0:n,0:n)	Dt
	)

Uses mxm() to compute gradient of 3D arrays.

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mxm()

subroutine mxm	(	real, dimension(n1,n2)	a,
			n1,
		real, dimension(n2,n3)	b,
			n2,
		real, dimension(n1,n3)	c,
			n3
	)

Compute matrix-matrix product C = A*B for contiguously packed matrices A,B, and C.

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