Comparative Study of Boris and He-VPA for a Toroidally Rippled Tokamak View Full Text


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Article Info

DATE

2021-08-18

AUTHORS

Sofia Khalid, Abdullah Zafar, Majid Khan, M. Kamran, M. Ikram

ABSTRACT

Numerical schemes such as Boris solver and volume preserving algorithm (VPA) enable efficient calculations of plasma particle trajectories under the influence of electromagnetic and collisional forces. In this regard, trajectories of fusion-born alpha particles in an axisymmetric tokamak magnetic configuration have been calculated, using 4th order Runge–Kutta (RK4) technique, the Boris scheme and the VPA. It is observed that Boris scheme and VPA produce accurate trajectories for long (≥103\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge 10^{3}$$\end{document} bounce period) simulation time, while the RK4 scheme fails in this regard. Moreover, the total energy is well conserved in Boris and VPA, whereas in RK4, a spurious damping is introduced due to propagation of numerical errors. After demonstrating the superiority of the Boris algorithm and VPA, the computations are extended to magnetically perturbed configuration, namely the toroidal field ripples. It is observed that the resonance interaction, due to toroidal precession of banana orbits and ripple periodicity, causes unwanted radial spread. Whereas, the passing particles, which are not subjected to any resonance interactions, are not affected by ripple magnetic perturbation. In this regard, it is shown that both schemes successfully produce the super banana orbits. However, VPA based computations over-perform as far as energy conservation is concerned. More... »

PAGES

19

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10894-021-00309-1

DOI

http://dx.doi.org/10.1007/s10894-021-00309-1

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https://app.dimensions.ai/details/publication/pub.1140498997


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