Plasma and Fusion Research

Volume 3, S1059 (2008)

Regular Articles

Neoclassical Viscosities in NCSX and QPS with Few Toroidal Periods and Low Aspect Ratios

Shin NISHIMURA, David R. MIKKELSEN¹⁾, Donald A. SPONG²⁾, Steven P. HIRSHMAN²⁾, Long-Poe KU¹⁾, Henry E. MYNICK¹⁾ and Michael C. ZARNSTORFF¹⁾

National Institute for Fusion Science, 322-6 Oroshi-cho, Toki 509-5292, Japan
1): Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543-0451, USA
2): Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6169, USA

(Received 16 November 2007 / Accepted 7 February 2008 / Published 5 August 2008)

Abstract

Previously reported benchmarking examples of the analytical formulae of neoclassical viscosities were presented implicitly assuming applications in a future integrated simulation system of the Large Helical Device (LHD). Therefore, the assumed toroidal period numbers were mainly N = 10. However, in this type of calculation, an implicit (or sometimes explicit) assumption of ι/N ≪ 1 is sometimes included. This assumption is included not only in simplified bounce-averaged drift kinetic equations for ripple diffusions, but also in the equation before the averaging for non-bounce-averaged effects determining neoclassical parallel viscosity and banana-plateau diffusions. For clarifying the applicability of the analytical methods for configurations with extremely low toroidal period numbers (required for low aspect ratios), we show recent benchmarking examples in the National Compact Stellarator Experiment (NCSX) with N = 3 and the Quasi-Poloidal Stellarator (QPS) with N = 2.

Keywords

neoclassical transport, neoclassical viscosity, moment equation approach, drift kinetic equation, nonsymmetric toroidal plasma, low aspect ratio stellarator

DOI: 10.1585/pfr.3.S1059

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This paper may be cited as follows:

Shin NISHIMURA, David R. MIKKELSEN, Donald A. SPONG, Steven P. HIRSHMAN, Long-Poe KU, Henry E. MYNICK and Michael C. ZARNSTORFF, Plasma Fusion Res. 3, S1059 (2008).