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

被引:137
作者
Grandgirard, V. [1 ]
Brunetti, M.
Bertrand, P.
Besse, N.
Garbet, X.
Ghendrih, P.
Manfredi, G.
Sarazin, Y.
Sauter, O.
Sonnendruecker, E.
Vaclavik, J.
Villard, L.
机构
[1] CEA, EURATOM Assoc, DSM, Dept Rech Fus Controle, F-13108 St Paul Les Durance, France
[2] Ecole Polytech Fed Lausanne, Assoc Euratom Confederat Suisse, Ctr Rech Phys Plasmas, CH-1015 Lausanne, Switzerland
[3] Univ Nancy 1, LPMIA, F-54506 Vandoeuvre Les Nancy, France
[4] Univ Strasbourg, IRMA, F-67084 Strasbourg, France
关键词
Semi-Lagrangian; leap-frog; time-splitting; drift-kinetic; ion-temperature-gradient; conservation laws;
D O I
10.1016/j.jcp.2006.01.023
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
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, theta, 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 (delta r similar to 0.1 Larmor radius, delta z similar to 10 Larmor radius). (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:395 / 423
页数:29
相关论文
共 43 条
[1]   A revised δf algorithm for nonlinear PIC simulation [J].
Allfrey, SJ ;
Hatzky, R .
COMPUTER PHYSICS COMMUNICATIONS, 2003, 154 (02) :98-104
[2]  
Beer M. A., 1995, Gyrofluid models of turbulent transport in tokamaks
[3]  
BIRDSALL CK, 1985, PLASMA PHYS COMPUTER
[4]   ALGORITHMS FOR SPECIAL TRIDIAGONAL SYSTEMS [J].
BOISVERT, RF .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1991, 12 (02) :423-442
[5]  
BOTTINO A, 2001, P INT WORKSH VAR 200, P327
[6]   Stability analysis of improved confinement discharges: internal transport barriers in Tore Supra and radiative improved mode in TEXTOR [J].
Bourdelle, C ;
Garbet, X ;
Hoang, GT ;
Ongena, J ;
Budny, RV .
NUCLEAR FUSION, 2002, 42 (07) :892-902
[7]   Fine-scale structures and negative-density regions: Comparison of numerical methods for solving the advection equation [J].
Brunetti, M ;
Grandgirard, V ;
Bertrand, P ;
Sauter, O ;
Vaclavik, J ;
Villard, L .
TRANSPORT THEORY AND STATISTICAL PHYSICS, 2005, 34 (3-5) :261-274
[8]   A semi-Lagrangian code for nonlinear global simulations of electrostatic drift-kinetic ITG modes [J].
Brunetti, M ;
Grandgirard, V ;
Sauter, O ;
Vaclavik, J ;
Villard, L .
COMPUTER PHYSICS COMMUNICATIONS, 2004, 163 (01) :1-21
[9]   Global approach to the spectral problem of microinstabilities in a cylindrical plasma using a gyrokinetic model [J].
Brunner, S ;
Vaclavik, J .
PHYSICS OF PLASMAS, 1998, 5 (02) :365-375
[10]   An Eulerian gyrokinetic-Maxwell solver [J].
Candy, J ;
Waltz, RE .
JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 186 (02) :545-581