Recent progress in reducing turbulent transport in stellarators and tokamaks by 3D shaping using a stellarator optimization code in conjunction with a gyrokinetic code is presented. The original applications of the method focused on ion temperature gradient transport in a quasi-axisymmetric stellarator design. Here, an examination both of other turbulence channels and other starting configurations is initiated. It is found that the designs evolved for transport from ion temperature gradient turbulence also display reduced transport from other transport channels whose modes are also stabilized by improved curvature, such as electron temperature gradient and ballooning modes. The optimizer is also applied to evolving from a tokamak, finding appreciable turbulence reduction for these devices as well. From these studies, improved understanding is obtained of why the deformations found by the optimizer are beneficial, and these deformations are related to earlier theoretical work in both stellarators and tokamaks.

1.
H. E.
Mynick
,
N.
Pomphrey
, and
P.
Xanthopoulos
,
Phys. Rev. Lett.
105
,
095004
, (
2010
).
2.
F.
Jenko
,
W.
Dorland
,
M.
Kotschenreuther
, and
B. N.
Rogers
,
Phys. Plasmas
7
,
1904
, (
2000
).
3.
P.
Xanthopoulos
,
W. A.
Cooper
,
F.
Jenko
,
Yu.
Turkin
,
A.
Runov
and
J.
Geiger
,
Phys. Plasmas
16
,
082303
, (
2009
).
4.
A.
Reiman
,
G.
Fu
,
S
Hirshman
,
L.
Ku
,
D.
Monticello
,
H.
Mynick
,
M.
Redi
,
D.
Spong
,
M.
Zarnstorff
,
B.
Blackwell
,
A.
Boozer
,
A.
Brooks
,
W. A.
Cooper
,
M.
Drevlak
,
R.
Goldston
,
J.
Harris
,
M.
Isaev
,
C.
Kessel
,
Z.
Lin
,
J. F.
Lyon
,
P.
Merkel
,
M.
Mikhailov
,
W.
Miner
,
N.
Nakajima
,
G.
Neilson
,
C.
Nührenberg
,
M.
Okamoto
,
N.
Pomphrey
,
W.
Reiersen
,
R.
Sanchez
,
J.
Schmidt
,
A.
Subbotin
,
P.
Valanju
,
K. Y.
Watanabe
, and
R.
White
,
Plasma Phys. Control. Fusion
41
,
B273
(
1999
).
5.
H. E.
Mynick
,
P.
Xanthopoulos
, and
A. H.
Boozer
,
Phys. Plasmas
16
,
110702
, (
2009
).
6.
G. H.
Neilson
,
M. C.
Zarnstorff
,
J. F.
Lyon
, the NCSX Team,
J. Plasma Fusion Res.
78
,
214
219
(
2002
).
7.
K.
Miyamoto
,
Nucl. Fusion
18
,
243
, (
1978
).
8.
J. B.
Taylor
,
Phys. Fluids
8
,
1203
, (
1965
).
9.
J. P.
Freidburg
,
Ideal Magneto-Hydro-Dynamics
(
Plenum
,
New York
,
1987
), see p. 373ff.
10.
M. S.
Chance
,
S. C.
Jardin
,
T. H.
Stix
,
Phys. Rev. Lett.
51
,
1963
, (
1983
).
11.
F.
Romanelli
,
Phys. Fluids B
1
,
1018
, (
1989
).
12.
F.
Jenko
, and
W.
Dorland
,
Phys. Rev. Lett.
89
,
225001
, (
2002
).
You do not currently have access to this content.