Abstract
New analytical expressions for parallel transport coefficients in multicomponent collisional plasmas are presented in this paper. They are improved versions of the expressions written in Zhdanov [Transport Processes in Multicomponent Plasma, English ed. (Taylor and Francis, London, New York, 2002)], based on Grad's 21N-moment method. Both explicit and approximate approaches for the calculation of transport coefficients are considered. Accurate application of this closure for the Braginskii transport equations is discussed. Viscosity dependence on the heat flux is taken into account. Improved expressions are implemented into the SOLPS-ITER code and tested for deuterium and neon ITER cases. Some typos found in Zhdanov [Transport Processes in Multicomponent Plasma, English ed. (Taylor and Francis, London, New York, 2002)] are corrected.
Highlights
Fusion toroidal devices with magnetic confinement operate with multispecies plasma
Plasma composition can contain mixtures of main components: hydrogen, deuterium, tritium,[2] and helium isotopes; and impurities: helium, lithium, beryllium, carbon, nitrogen, neon, argon, etc.[3] (In some operational regimes, helium might be the main component and in addition to the usual impurities, isotopes of hydrogen would be impurities.) Edge plasmas usually are in a collisional regime, by which we mean that macroscopic parameters change slowly on parallel length scales of the mean free path and time scales between collisions
Transport equations for multicomponent fully ionized plasmas consisting of electrons and several species of ions each in a different charge state were obtained in the 21N-moment approximation by Zhdanov and Yushmanov (ZY).[6]
Summary
Fusion toroidal devices with magnetic confinement (tokamaks and stellarators) operate with multispecies plasma. In SOLPS-ITER these sources are calculated by the EIRENE code.[23] since in the approach, discussed in the present paper, the collision operator is considered in the Boltzmann form, inelastic collisions can be computed internally by moment treatment of the neutral particles, details can be found in Refs. The result of the closure discussed in Ref. 1, that is expressed in the heat flux, viscosity, friction term, and heat exchange term, can be applied for the Braginskii system of equations (1)–(3) using corrections due to difference in definitions. All the analysis in this paper will be devoted to ion transport coefficients
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