A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation

V. Grandgirard; M. Brunetti; P. Bertrand; N. Besse; X. Garbet; P. Ghendrih; G. Manfredi; Y. Sarazin; O. Sauter; E. Sonnendrücker; J. Vaclavik; L. Villard

doi:10.1016/j.jcp.2006.01.023

A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation

V. Grandgirard, M. Brunetti, P. Bertrand, N. Besse, X. Garbet, P. Ghendrih, G. Manfredi, Y. Sarazin, O. Sauter, E. Sonnendrücker, J. Vaclavik, L. Villard

Research output: Contribution to journal › Article › peer-review

141 Scopus citations

Abstract

A new code is presented here, named Gyrokinetic SEmi-LAgragian (GYSELA) code, which solves 4D drift-kinetic equations for ion temperature gradient driven turbulence in a cylinder (r, θ, z). The code validation is performed with the slab ITG mode that only depends on the parallel velocity. This code uses a semi-Lagrangian numerical scheme, which exhibits good properties of energy conservation in non-linear regime as well as an accurate description of fine spatial scales. The code has been validated in the linear and non-linear regimes. The GYSELA code is found to be stable over long simulation times (more than 20 times the linear growth rate of the most unstable mode), including for cases with a high resolution mesh (δr ∼ 0.1 Larmor radius, δz ∼ 10 Larmor radius).

Original language	English
Pages (from-to)	395-423
Number of pages	29
Journal	Journal of Computational Physics
Volume	217
Issue number	2
DOIs	https://doi.org/10.1016/j.jcp.2006.01.023
State	Published - 20 Sep 2006
Externally published	Yes

Keywords

Conservation laws
Drift-kinetic
Ion-temperature-gradient
Leap-frog
Semi-Lagrangian
Time-splitting

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1016/j.jcp.2006.01.023

Cite this

@article{0d200d6b719643f79fe1bd8d9251f007,

title = "A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation",

abstract = "A new code is presented here, named Gyrokinetic SEmi-LAgragian (GYSELA) code, which solves 4D drift-kinetic equations for ion temperature gradient driven turbulence in a cylinder (r, θ, z). The code validation is performed with the slab ITG mode that only depends on the parallel velocity. This code uses a semi-Lagrangian numerical scheme, which exhibits good properties of energy conservation in non-linear regime as well as an accurate description of fine spatial scales. The code has been validated in the linear and non-linear regimes. The GYSELA code is found to be stable over long simulation times (more than 20 times the linear growth rate of the most unstable mode), including for cases with a high resolution mesh (δr ∼ 0.1 Larmor radius, δz ∼ 10 Larmor radius).",

keywords = "Conservation laws, Drift-kinetic, Ion-temperature-gradient, Leap-frog, Semi-Lagrangian, Time-splitting",

author = "V. Grandgirard and M. Brunetti and P. Bertrand and N. Besse and X. Garbet and P. Ghendrih and G. Manfredi and Y. Sarazin and O. Sauter and E. Sonnendr{\"u}cker and J. Vaclavik and L. Villard",

year = "2006",

month = sep,

day = "20",

doi = "10.1016/j.jcp.2006.01.023",

language = "English",

volume = "217",

pages = "395--423",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation

AU - Grandgirard, V.

AU - Brunetti, M.

AU - Bertrand, P.

AU - Besse, N.

AU - Garbet, X.

AU - Ghendrih, P.

AU - Manfredi, G.

AU - Sarazin, Y.

AU - Sauter, O.

AU - Sonnendrücker, E.

AU - Vaclavik, J.

AU - Villard, L.

PY - 2006/9/20

Y1 - 2006/9/20

N2 - A new code is presented here, named Gyrokinetic SEmi-LAgragian (GYSELA) code, which solves 4D drift-kinetic equations for ion temperature gradient driven turbulence in a cylinder (r, θ, z). The code validation is performed with the slab ITG mode that only depends on the parallel velocity. This code uses a semi-Lagrangian numerical scheme, which exhibits good properties of energy conservation in non-linear regime as well as an accurate description of fine spatial scales. The code has been validated in the linear and non-linear regimes. The GYSELA code is found to be stable over long simulation times (more than 20 times the linear growth rate of the most unstable mode), including for cases with a high resolution mesh (δr ∼ 0.1 Larmor radius, δz ∼ 10 Larmor radius).

AB - A new code is presented here, named Gyrokinetic SEmi-LAgragian (GYSELA) code, which solves 4D drift-kinetic equations for ion temperature gradient driven turbulence in a cylinder (r, θ, z). The code validation is performed with the slab ITG mode that only depends on the parallel velocity. This code uses a semi-Lagrangian numerical scheme, which exhibits good properties of energy conservation in non-linear regime as well as an accurate description of fine spatial scales. The code has been validated in the linear and non-linear regimes. The GYSELA code is found to be stable over long simulation times (more than 20 times the linear growth rate of the most unstable mode), including for cases with a high resolution mesh (δr ∼ 0.1 Larmor radius, δz ∼ 10 Larmor radius).

KW - Conservation laws

KW - Drift-kinetic

KW - Ion-temperature-gradient

KW - Leap-frog

KW - Semi-Lagrangian

KW - Time-splitting

UR - http://www.scopus.com/inward/record.url?scp=33748429358&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2006.01.023

DO - 10.1016/j.jcp.2006.01.023

M3 - Article

AN - SCOPUS:33748429358

SN - 0021-9991

VL - 217

SP - 395

EP - 423

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 2

ER -

A drift-kinetic Semi-Lagrangian 4D code for ion turbulence simulation

Abstract

Keywords

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this