XTOR-2F
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.
(Source: http://dl.acm.org/)
This software is also peer reviewed by journal TOMS.
This software is also peer reviewed by journal TOMS.
Keywords for this software
References in zbMATH (referenced in 8 articles , 1 standard article )
Showing results 1 to 8 of 8.
Sorted by year (- Zhang, Tong; Yuan, JinYun: Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations (2022)
- Einkemmer, Lukas; Tokman, Mayya; Loffeld, John: On the performance of exponential integrators for problems in magnetohydrodynamics (2017)
- Marx, Alain; Lütjens, Hinrich: Hybrid parallelization of the XTOR-2F code for the simulation of two-fluid MHD instabilities in tokamaks (2017)
- Haverkort, J. W.; de Blank, H. J.; Huysmans, G. T. A.; Pratt, J.; Koren, B.: Implementation of the full viscoresistive magnetohydrodynamic equations in a nonlinear finite element code (2016)
- Charles, Frédérique; Després, Bruno; Perthame, Benoît; Sentis, Rémis: Nonlinear stability of a Vlasov equation for magnetic plasmas (2013)
- Sauter, O.; Medvedev, S. Yu.: Tokamak coordinate conventions: COCOS (2013)
- Jardin, S. C.: Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas (2012)
- Lütjens, Hinrich; Luciani, Jean-François: XTOR-2F: a fully implicit Newton-Krylov solver applied to nonlinear 3D extended MHD in tokamaks (2010)