GYSELA swMATH ID: 17825 Software Authors: Grandgirard, V.; Brunetti, M.; Bertrand, P.; Besse, N.; Garbet, X.; Ghendrih, P.; Manfredi, G.; Sarazin, Y.; Sauter, O.; Sonnendrücker, E.; Vaclavik, J.; Villard, L. Description: A drift-kinetic semi-Lagrangian 4D code for ion turbulence simulation. 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). Homepage: http://www.sciencedirect.com/science/article/pii/S0021999106000155 Keywords: semi-Lagrangian; leap-frog; time-splitting; drift-kinetic; ion-temperature-gradient; conservation laws Related Software: Vador; gs2; CYLGYR; QUALIMUWABA; sldg; ORB5; GYGLES; ELMFIRE; GENE; GMWB3D-SLC; mftoolbox; RODAS; Matlab; GenFoo; Kiva-2; symrcm; FPPAC; NITSOL; hypre; RAMSES Cited in: 44 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A drift-kinetic semi-Lagrangian 4D code for ion turbulence simulation. Zbl 1160.76385Grandgirard, V.; Brunetti, M.; Bertrand, P.; Besse, N.; Garbet, X.; Ghendrih, P.; Manfredi, G.; Sarazin, Y.; Sauter, O.; Sonnendrücker, E.; Vaclavik, J.; Villard, L. 2006 all top 5 Cited by 84 Authors 13 Sonnendrücker, Eric 8 Crouseilles, Nicolas 8 Grandgirard, Virginie 8 Latu, Guillaume 6 Bertrand, Pierre 6 Mehrenberger, Michel 5 Besse, Nicolas 5 Ghendrih, Philippe 4 Einkemmer, Lukas 4 Garbet, Xavier 4 Sarazin, Yanick 4 Villard, Laurent 3 Dif-Pradalier, Guilhem 3 Sauter, O. 3 Vaclavik, J. 2 Bostan, Mihai 2 Cartier-Michaud, Thomas 2 Filbet, Francis 2 Frénod, Emmanuel 2 Hittinger, Jeffrey A. F. 2 Prouveur, Charles 2 Respaud, Thomas 2 Wang, Shaojie 2 Xiao, Xiaotao 2 Xu, Yingfeng 2 Ye, Lei 1 Abiteboul, J. 1 Arienti, Marco 1 Banks, Jeffrey W. 1 Besse, Christophe 1 Bigot, Julien 1 Boscarino, Sebastiano 1 Bouzat, Nicolas 1 Bressan, Camilla 1 Carrillo de la Plata, José Antonio 1 Cho, Seung-Yeon 1 Coulette, David 1 Dai, Zongliang 1 Degond, Pierre 1 Deluzet, Fabrice 1 Deriaz, Erwan 1 Doisneau, François 1 Dorf, Mikhail A. 1 Dorr, Milo R. 1 Dudon, Jean-Paul 1 Ehrlacher, Ch. 1 Esteve, Damien 1 Martínez Gamba, Irene 1 Geiser, Jürgen 1 Ghizzo, Alain 1 Ghosh, Debojyoti 1 Goudon, Thierry 1 Güçlü, Yaman 1 Hamiaz, Adnane 1 Hatzky, Roman 1 Heikkinen, Jukka A. 1 Ida, Masato 1 Idomura, Yasuhiro 1 Janhunen, S. J. 1 Kiviniemi, T. P. 1 Könies, A. 1 Labrunie, Simon 1 Lubich, Christian 1 Lutz, Mathieu 1 Manfredi, Giovanni 1 Massot, Josselin 1 Mendoza, Laura S. 1 Norscini, Claudia 1 Oefelein, Joseph C. 1 Ogando, Francisco 1 Ostermann, Alexander 1 Ottaviani, Maurizio 1 Passeron, Ch. 1 Peirani, Sébastien 1 Ratnani, Ahmed 1 Rozar, Fabien 1 Russo, Giovanni 1 Sellama, Hocine 1 Strugarek, A. 1 Tokuda, Shinji 1 Vauchelet, Nicolas 1 Yang, Chang 1 Yun, Seok-Bae 1 Zarzoso, David all top 5 Cited in 21 Serials 19 Journal of Computational Physics 3 Computer Physics Communications 2 Journal of Scientific Computing 2 Communications in Nonlinear Science and Numerical Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Journal of Statistical Physics 1 Transport Theory and Statistical Physics 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Numerische Mathematik 1 SIAM Journal on Scientific Computing 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Mathematical and Computer Modelling of Dynamical Systems 1 International Journal of Applied Mathematics and Computer Science 1 Discrete and Continuous Dynamical Systems. Series B 1 Multiscale Modeling & Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Communications in Applied and Industrial Mathematics all top 5 Cited in 15 Fields 26 Statistical mechanics, structure of matter (82-XX) 25 Numerical analysis (65-XX) 24 Fluid mechanics (76-XX) 16 Partial differential equations (35-XX) 4 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year