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Gyrokinetic models for strongly magnetized plasmas with general magnetic shape
Guiding-center simulations on curvilinear meshes
1. | INRIA Nancy-Grand Est, 615 rue du Jardin Botanique, 54600 Villers-lès-Nancy, IRMA, Université de Strasbourg, 7 rue René-Descartes, 67084 Strasbourg Cedex, France, France, France, France |
References:
[1] |
A. J. Brizard and T. S. Hahm, Foundations of nonlinear gyrokinetic theory,, Rev. Mod. Phys., 79 (2007), 421.
doi: 10.1103/RevModPhys.79.421. |
[2] |
N. Crouseilles, M. Mehrenberger and E. Sonnendrücker, Conservative semi-Lagrangian schemes for Vlasov equations,, J. Comput. Phys., 229 (2010), 1927.
doi: 10.1016/j.jcp.2009.11.007. |
[3] |
C. Z. Cheng and G. Knorr, The integration of the Vlasov equation in conÞguration space,, J. Comput. Phys., 22 (1976), 330.
doi: 10.1016/0021-9991(76)90053-X. |
[4] |
A. M. Dimits, et al., Comparisons and physics basis of tokamak transport models and turbulence simulations,, Phys. Plasmas, 7 (2000).
doi: 10.1063/1.873896. |
[5] |
N. Crouseilles, G. Latu and E. Sonnendrücker, A Vlasov solver based on local cubic spline interpolation on patches,, J. Comput. Phys., 228 (2009), 1429.
doi: 10.1016/j.jcp.2008.10.041. |
[6] |
, X. Garbet,, private communication, (2009). Google Scholar |
[7] |
V. Grandgirard, et al., Global full-f gyrokinetic simulations of plasma turbulence,, Plasma Phys. Control. Fus., 49B (2007), 173.
doi: 10.1088/0741-3335/49/12B/S16. |
[8] |
V. Grandgirard, M. Brunetti, P. Bertrand, N. Besse, X. Garbet, P. Ghendrih, G. Manfredi, Y. Sarazin, O. Sauter, E. Sonnendrücker, J. Vaclavik and L. Villard, A drift-kinetic semi-Lagrangian 4D code for ion turbulence simulation,, J. Comput. Physics, 217 (2006), 395.
doi: 10.1016/j.jcp.2006.01.023. |
[9] |
M. Shoucri, A two-level implicit scheme for the numerical solution of the linearized vorticity equation,, Int. J. Numer. Meth. Eng., 17 (1981).
doi: 10.1002/nme.1620171007. |
[10] |
E. Sonnendrücker, J. Roche, P. Bertrand and A. Ghizzo, The semi-Lagrangian method for the numerical resolution of the Vlasov equation,, J. Comput. Physics, 149 (1999), 201.
doi: 10.1006/jcph.1998.6148. |
[11] |
M. Zerroukat, N. Wood and A. Staniforth, The parabolic spline method (PSM) for conservative transport problems,, Int. J. Numer. Meth. Fluids, 51 (2006), 1297.
doi: 10.1002/fld.1154. |
[12] |
M. Zerroukat, N. Wood and A. Staniforth, Application of the parabolic spline method (PSM) to a multi-dimensional conservative semi-Lagrangian transport scheme (SLICE),, J. Comput. Phys, 225 (2007), 935.
doi: 10.1016/j.jcp.2007.01.006. |
show all references
References:
[1] |
A. J. Brizard and T. S. Hahm, Foundations of nonlinear gyrokinetic theory,, Rev. Mod. Phys., 79 (2007), 421.
doi: 10.1103/RevModPhys.79.421. |
[2] |
N. Crouseilles, M. Mehrenberger and E. Sonnendrücker, Conservative semi-Lagrangian schemes for Vlasov equations,, J. Comput. Phys., 229 (2010), 1927.
doi: 10.1016/j.jcp.2009.11.007. |
[3] |
C. Z. Cheng and G. Knorr, The integration of the Vlasov equation in conÞguration space,, J. Comput. Phys., 22 (1976), 330.
doi: 10.1016/0021-9991(76)90053-X. |
[4] |
A. M. Dimits, et al., Comparisons and physics basis of tokamak transport models and turbulence simulations,, Phys. Plasmas, 7 (2000).
doi: 10.1063/1.873896. |
[5] |
N. Crouseilles, G. Latu and E. Sonnendrücker, A Vlasov solver based on local cubic spline interpolation on patches,, J. Comput. Phys., 228 (2009), 1429.
doi: 10.1016/j.jcp.2008.10.041. |
[6] |
, X. Garbet,, private communication, (2009). Google Scholar |
[7] |
V. Grandgirard, et al., Global full-f gyrokinetic simulations of plasma turbulence,, Plasma Phys. Control. Fus., 49B (2007), 173.
doi: 10.1088/0741-3335/49/12B/S16. |
[8] |
V. Grandgirard, M. Brunetti, P. Bertrand, N. Besse, X. Garbet, P. Ghendrih, G. Manfredi, Y. Sarazin, O. Sauter, E. Sonnendrücker, J. Vaclavik and L. Villard, A drift-kinetic semi-Lagrangian 4D code for ion turbulence simulation,, J. Comput. Physics, 217 (2006), 395.
doi: 10.1016/j.jcp.2006.01.023. |
[9] |
M. Shoucri, A two-level implicit scheme for the numerical solution of the linearized vorticity equation,, Int. J. Numer. Meth. Eng., 17 (1981).
doi: 10.1002/nme.1620171007. |
[10] |
E. Sonnendrücker, J. Roche, P. Bertrand and A. Ghizzo, The semi-Lagrangian method for the numerical resolution of the Vlasov equation,, J. Comput. Physics, 149 (1999), 201.
doi: 10.1006/jcph.1998.6148. |
[11] |
M. Zerroukat, N. Wood and A. Staniforth, The parabolic spline method (PSM) for conservative transport problems,, Int. J. Numer. Meth. Fluids, 51 (2006), 1297.
doi: 10.1002/fld.1154. |
[12] |
M. Zerroukat, N. Wood and A. Staniforth, Application of the parabolic spline method (PSM) to a multi-dimensional conservative semi-Lagrangian transport scheme (SLICE),, J. Comput. Phys, 225 (2007), 935.
doi: 10.1016/j.jcp.2007.01.006. |
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