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首页> 外文期刊>Journal of Computational Physics >The XTOR code for nonlinear 3D simulations of MHD instabilities in tokamak plasmas
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The XTOR code for nonlinear 3D simulations of MHD instabilities in tokamak plasmas

机译：XTOR代码用于托卡马克等离子体中MHD不稳定性的非线性3D模拟

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摘要

The latest version of the XTOR code which solves a set of the extended magnetohydrodynamic (MHD) equations in toroidal geometry is presented. The numerical method is discussed with particular emphasis on critical issues leading to numerical stability and robustness. This includes the time advance algorithm, the choice of variables and the boundary conditions. The physics in the model includes resistive MHD, anisotropic thermal diffusion and some neoclassical effects. The time advance method used in XTOR is unconditionally stable for linear MHD. First, both the ideal and the resistive MHD parts of the equations are advanced semi-implicitly and then the thermal transport part full-implicitly, using sub-stepping [H. Lutjens, Comp. Phys. Commun. 164 (2004) 301]. The time steps are only weakly limited by the departure of the nonlinear MHD dynamics from the linear one and are automatically defined by a set of nonlinear stability criteria. The robustness of the method is illustrated by some numerically difficult simulations, i.e. sawtooth simulations, the nonlinear destabilization of ballooning instabilities by an internal kink, and the dynamics of a neoclassical tearing mode in International Thermonuclear Experimental Reactor (ITER) [R. Aymar, V.A. Chuyanov, M. Huguet, et al., Nucl. Fusion 41 (2001) 1301] like geometry about its nonlinear stability threshold. (C) 2008 Elsevier Inc. All rights reserved.
机译：介绍了XTOR代码的最新版本，它解决了环形几何中一组扩展的磁流体动力学（MHD）方程。讨论了数值方法，特别强调了导致数值稳定性和鲁棒性的关键问题。这包括时间提前算法，变量的选择和边界条件。该模型的物理性质包括电阻MHD，各向异性热扩散和一些新古典效应。对于线性MHD，XTOR中使用的时间提前方法是无条件稳定的。首先，使用子步长将等式的理想MHD部分和电阻MHD部分均进行隐式推广，然后将隐式热传输部分进行全隐式推广[H. Lutjens，比较。物理公社164（2004）301]。时间步长仅受非线性MHD动力学与线性动力学的偏离的微弱限制，并由一组非线性稳定性标准自动定义。该方法的鲁棒性通过一些数值上困难的模拟来说明，即锯齿状模拟，内部扭结引起的气球膨胀不稳定性的非线性失稳以及国际热核实验反应堆（ITER）中新古典撕裂模式的动力学。弗吉尼亚州艾玛Chuyanov，M.Huguet等，Nucl.Natl.Acad.Sci.USA，95：1593-2404。 [Fusion 41（2001）1301]的几何形状与其非线性稳定性阈值有关。 （C）2008 Elsevier Inc.保留所有权利。

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