XTOR-2F swMATH ID: 1030 Software Authors: H. Lütjens; J. Luciani Description: XTOR-2F solves a set of extended magnetohydrodynamic (MHD) equations in toroidal tokamak geometry. In the original XTOR code, the time stepping is handled by a semi-implicit method. Moderate changes were necessary to transform it into a fully implicit one using the NITSOL library with Newton-Krylov methods of solution for nonlinear system of equations. After addressing the sensitive issue of preconditioning and time step tuning, the performances of the semi-implicit and the implicit methods are compared for the nonlinear simulation of an internal kink mode test case within the framework of resistive MHD including anisotropic thermal transport. A convergence study comparing the semi-implicit and the implicit schemes is presented. Our main conclusion is that on one hand the Newton-Krylov implicit method, when applied to basic one fluid MHD is more computationally costly than the semi-implicit one by a factor 3 for a given numerical accuracy. But on the other hand, the implicit method allows to address challenging issues beyond MHD. By testing the Newton-Krylov method with diamagnetic modifications on the dynamics of the internal kink, some numerical issues, to be addressed further, are emphasized. Homepage: http://dl.acm.org/citation.cfm?id=1850839.1850885 Keywords: plasma; tokamak; magnetohydrodynamics; nonlinear simulations; fully implicit; Newton-Krylov; internal kink; thermal transport; bifluid; diamagnetic rotations Related Software: XTOR; BOUT++; CHEASE; NITSOL; Boost C++ Libraries; GYRO; cppmhd; phipm; NIMROD; FLASH; Boost; EPIC; Algorithm 919; CVODE; SUNDIALS; Expokit; MKL; ScaLAPACK; JOREK; FINESSE Cited in: 8 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year XTOR-2F: a fully implicit Newton-Krylov solver applied to nonlinear 3D extended MHD in tokamaks. Zbl 1220.76055Lütjens, Hinrich; Luciani, Jean-François 2010 all top 5 Cited by 19 Authors 2 Lütjens, Hinrich 1 Charles, Frédérique 1 de Blank, Hugo J. 1 Després, Bruno 1 Einkemmer, Lukas 1 Haverkort, J. W. 1 Huysmans, G. T. A. 1 Jardin, Stephen C. 1 Koren, Barry 1 Loffeld, John 1 Luciani, Jean-François 1 Marx, Alain 1 Medvedev, S. Yu. 1 Perthame, Benoît 1 Sauter, O. 1 Sentis, Remi 1 Tokman, Mayya 1 Yuan, Jinyun 1 Zhang, Tong Cited in 4 Serials 4 Journal of Computational Physics 2 Computer Physics Communications 1 Journal of Scientific Computing 1 Kinetic and Related Models Cited in 5 Fields 6 Fluid mechanics (76-XX) 5 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Partial differential equations (35-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year