A detailed cross-verification between two global gyrokinetic codes, the core continuum code GENE and the edge particle-in-cell code XGC, for the linear and nonlinear simulations of ion-temperature-gradient modes is carried out. With the recent developments in the edge gyrokinetics, it may be feasible someday to describe the whole tokamak plasma on turbulence timescales using a coupled gyrokinetic simulation model. Before pursuing this, the core code (GENE) and the edge code (XGC) must be carefully benchmarked with each other. The present verification provides a solid basis for future code coupling research. Also included in the benchmarking is the global particle-in-cell code ORB5, to raise the confidence in the quality of the obtained results. An excellent agreement between all three codes is obtained. Furthermore, in order to facilitate a benchmark framework for other codes, we make a specific effort to provide all the relevant input parameters and precise details for each code.

1.
X.
Garbet
,
Y.
Idomura
,
L.
Villard
, and
T.
Watanabe
,
Nucl. Fusion
50
,
043002
(
2010
).
2.
J. A.
Krommes
,
Phys. Scr.
2010
,
014035
.
3.
F.
Jenko
,
W.
Dorland
,
M.
Kotschenreuther
, and
B. N.
Rogers
,
Phys. Plasmas
7
,
1904
(
2000
).
4.
T.
Görler
,
X.
Lapillonne
,
S.
Brunner
,
T.
Dannert
,
F.
Jenko
,
F.
Merz
, and
D.
Told
,
J. Comput. Phys.
230
,
7053
(
2011
).
5.
A. E.
White
,
W. A.
Peebles
,
T. L.
Rhodes
,
C. H.
Holland
,
G.
Wang
,
L.
Schmitz
,
T. A.
Carter
,
J. C.
Hillesheim
,
E. J.
Doyle
,
L.
Zeng
 et al.,
Phys. Plasmas
17
,
056103
(
2010
).
6.
A. J.
Creely
,
N. T.
Howard
,
P.
Rodriguez-Fernandez
,
N.
Cao
,
A. E.
Hubbard
,
J. W.
Hughes
,
J. E.
Rice
,
A. E.
White
,
J.
Candy
,
G. M.
Staebler
 et al.,
Phys. Plasmas
24
,
056104
(
2017
).
7.
C.
Lechte
,
G. D.
Conway
,
T.
Görler
,
C.
Tröster-Schmid
, and
ASDEX Upgrade Team
,
Plasma Phys. Controlled Fusion
59
,
075006
(
2017
).
8.
S. J.
Freethy
,
T.
Görler
,
A. J.
Creely
,
G. D.
Conway
,
S. S.
Denk
,
T.
Happel
,
C.
Koenen
,
P.
Hennequin
,
A. E.
White
, and
ASDEX Upgrade Team
.
Phys. Plasmas
25
,
055903
(
2018
).
9.
S.
Ku
,
C. S.
Chang
, and
P. H.
Diamond
,
Nucl. Fusion
49
,
115021
(
2009
).
10.
S.
Ku
,
C. S.
Chang
,
R.
Hager
,
J. M.
Kwon
, and
S. E.
Parker
,
J. Comput. Phys.
315
,
467
(
2016
).
11.
S.
Ku
,
C. S.
Chang
,
R.
Hager
,
R. M.
Churchill
,
G. R.
Tynan
,
I.
Cziegler
,
M.
Greenwald
,
J.
Hughes
,
S. E.
Parker
,
M. F.
Adams
 et al.,
Phys. Plasmas
25
,
056107
(
2018
).
12.
X.
Lapillonne
,
B. F.
McMillan
,
T.
Görler
,
S.
Brunner
,
T.
Dannert
,
F.
Jenko
,
F.
Merz
, and
L.
Villard
,
Phys. Plasmas
17
,
112321
(
2010
).
13.
R.
Bravenec
,
J.
Citrin
,
J.
Candy
,
P.
Mantica
, and
T.
Görler
, and
JET Contributors
,
Plasma Phys. Controlled Fusion
58
,
125018
(
2016
).
14.
T.
Görler
,
N.
Tronko
,
W. A.
Hornsby
,
A.
Bottino
,
R.
Kleiber
,
C.
Norscini
,
V.
Grandgirard
,
F.
Jenko
, and
E.
Sonnendrücker
,
Phys. Plasmas
23
,
072503
(
2016
).
15.
G.
Dif-Pradalier
,
P. H.
Diamond
,
V.
Grandgirard
,
Y.
Sarazin
,
J.
Abiteboul
,
X.
Garbet
,
P.
Ghendrih
,
A.
Strugarek
,
S.
Ku
, and
C. S.
Chang
,
Phys. Rev. E
82
,
025401
(
2010
).
16.
I.
Holod
and
Z.
Lin
,
Phys. Plasmas
20
,
032309
(
2013
).
17.
K.
Kim
,
C. S.
Chang
,
J.
Seo
,
S.
Ku
, and
W.
Choe
,
Phys. Plasmas
24
,
012306
(
2017
).
18.
R.
Hager
,
J.
Lang
,
C. S.
Chang
,
S.
Ku
,
Y.
Chen
,
S. E.
Parker
, and
M. F.
Adams
,
Phys. Plasmas
24
,
054508
(
2017
).
19.
T.
Tran
,
K.
Appert
,
M.
Fivaz
,
G.
Jost
,
J.
Vaclavik
, and
L.
Villard
, “
Theory of fusion plasmas
,” in
International Workshop
(Editrice Compositori, Societá italiana di Fisica, Bologna (
1999
), p.
45
;
S.
Jolliet
,
A.
Bottino
,
P.
Angelino
,
R.
Hatzky
,
T.
Tran
,
B.
Mcmillan
,
O.
Sauter
,
K.
Appert
,
Y.
Idomura
, and
L.
Villard
,
Comput. Phys. Commun.
177
,
409
(
2007
).
20.
A. J.
Brizard
and
T. S.
Hahm
,
Rev. Mod. Phys.
79
,
421
(
2007
).
21.
See http://genecode.org for details about the GENE code.
22.
See http://hbps.pppl.gov for details about the XGC code.
24.
S.
Parker
,
C.
Kim
, and
Y.
Chen
,
Phys. Plasmas
6
,
1709
(
1999
).
25.
N.
Tronko
,
A.
Bottino
,
T.
Görler
,
E.
Sonnendrücker
,
D.
Told
, and
L.
Villard
,
Phys. Plasmas
24
,
056115
(
2017
).
26.
J.
Dominski
,
B. F.
McMillan
,
S.
Brunner
,
G.
Merlo
,
T.-M.
Tran
, and
L.
Villard
,
Phys. Plasmas
24
,
022308
(
2017
).
27.
E.
Lanti
,
J.
Dominski
,
S.
Brunner
,
B. F.
McMillan
, and
L.
Villard
,
J. Phys.: Conf. Ser.
775
,
012006
(
2016
).
28.
A.
Burckel
,
O.
Sauter
,
C.
Angioni
,
J.
Candy
,
E.
Fable
, and
X.
Lapillonne
,
J. Phys.: Conf. Ser.
260
,
012006
(
2010
).
29.
A. M.
Dimits
,
G.
Bateman
,
M. A.
Beer
,
B. I.
Cohen
,
W.
Dorland
,
G. W.
Hammett
,
C.
Kim
,
J. E.
Kinsey
,
M.
Kotschenreuther
,
A. H.
Kritz
 et al.,
Phys. Plasmas
7
,
969
(
2000
).
30.
G.
Merlo
,
O.
Sauter
,
S.
Brunner
,
A.
Burckel
,
Y.
Camenen
,
F. J.
Casson
,
W.
Dorland
,
E.
Fable
,
T.
Görler
,
F.
Jenko
 et al.,
Phys. Plasmas
23
,
032104
(
2016
).
31.
B. F.
McMillan
,
X.
Lapillonne
,
S.
Brunner
,
L.
Villard
,
S.
Jolliet
,
A.
Bottino
,
T.
Görler
, and
F.
Jenko
,
Phys. Rev. Lett.
105
,
155001
(
2010
).
32.
G.
Merlo
,
J.
Dominski
,
A.
Bhattacharjee
,
C. S.
Chang
,
F.
Jenko
,
S.
Ku
,
E.
Lanti
, and
S.
Parker
,
Cross-Verification of the Global Gyrokinetic Codes GENE and XGC
(
Zenodo
,
2018
).

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