axi_green Module Reference

Detailed Description

Object and supporting functions for axisymmetric coil sets.

Authors

Chris Hansen

Date

March 2014

Data Types
type	axi_coil_set
	Needs Docs. More...

Functions/Subroutines
subroutine, public	decay_eigenmodes (ncoils, rc, eig_val, eig_vec, eta)
	Needs docs.
real(r8) function	elle (phi, ak)
	Create flux function object from definition file.
real(r8) function	ellf (phi, ak)
	Create flux function object from definition file.
subroutine, public	grad_green (r, z, rc, zc, fg, gg)
	Create flux function object from definition file.
real(r8) function, public	green (r, z, rc, zc)
	Create flux function object from definition file.
real(r8) function, public	green_brute (r, z, rc, zc)
	Create flux function object from definition file.
real(r8) function	rd (x, y, z)
	Create flux function object from definition file.
real(r8) function	rf (x, y, z)
	Create flux function object from definition file.

Variables
real(r8), parameter	roff = 1.d-13

Function/Subroutine Documentation

decay_eigenmodes()

subroutine, public decay_eigenmodes	(	integer(i4), intent(in)	ncoils,
		real(r8), dimension(2,ncoils), intent(in)	rc,
		real(r8), dimension(ncoils), intent(out)	eig_val,
		real(r8), dimension(ncoils,ncoils), intent(out)	eig_vec,
		real(r8), dimension(ncoils), intent(in), optional	eta
	)

Needs docs.

elle()

real(r8) function elle ( real(r8), intent(in)  phi, real(r8), intent(in)  ak  )

private

Create flux function object from definition file.

Legendre elliptic integral of the 2nd kind E(; j), evaluated using Carlson's functions RD and RF. The argument ranges are 0 =2, 0 ksin 1.

ellf()

real(r8) function ellf ( real(r8), intent(in)  phi, real(r8), intent(in)  ak  )

private

Create flux function object from definition file.

Legendre elliptic integral of the 1st kind F(; k), evaluated using Carlson's function RF. The argument ranges are 0 =2, 0 ksin 1.

grad_green()

subroutine, public grad_green	(	real(r8), intent(in)	r,
		real(r8), intent(in)	z,
		real(r8), intent(in)	rc,
		real(r8), intent(in)	zc,
		real(r8), intent(out)	fg,
		real(r8), dimension(2), intent(out)	gg
	)

Create flux function object from definition file.

Legendre elliptic integral of the 2nd kind E(; k), evaluated using Carlson's functions RD and RF. The argument ranges are 0 =2, 0 < ksin < 1.

green()

real(r8) function, public green	(	real(r8), intent(in)	r,
		real(r8), intent(in)	z,
		real(r8), intent(in)	rc,
		real(r8), intent(in)	zc
	)

Create flux function object from definition file.

Legendre elliptic integral of the 2nd kind E(; k), evaluated using Carlson's functions RD and RF. The argument ranges are 0 =2, 0 ksin 1.

green_brute()

real(r8) function, public green_brute	(	real(r8), intent(in)	r,
		real(r8), intent(in)	z,
		real(r8), intent(in)	rc,
		real(r8), intent(in)	zc
	)

Create flux function object from definition file.

Legendre elliptic integral of the 2nd kind E(; k), evaluated using Carlson's functions RD and RF. The argument ranges are 0 =2, 0 ksin 1.

rd()

real(r8) function rd ( real(r8), intent(in)  x, real(r8), intent(in)  y, real(r8), intent(in)  z  )

private

Create flux function object from definition file.

Computes Carlson's elliptic integral of the second kind, RD(x; y; z). x and y must be nonnegative, and at most one can be zero. z must be positive. TINY must be at least twice the negative 2/3 power of the machine overflow limit. BIG must be at most 0:1ERRTOL times the negative 2/3 power of the machine underflow limit.

rf()

real(r8) function rf ( real(r8), intent(in)  x, real(r8), intent(in)  y, real(r8), intent(in)  z  )

private

Create flux function object from definition file.

Computes Carlson's elliptic integral of the first kind, RF(x; y; z). x, y, and z must be nonnegative, and at most one can be zero. TINY must be at least 5 times the machine undeflow limit, BIG at most one fifth the machine overflow limit.

Variable Documentation

roff

real(r8), parameter roff = 1.d-13