The 21N-moment multi-temperature coefficients for Zhdanov closure

Abstract

We provide the 21N-moment multi-temperature collision coefficients for the Boltzmann collision operator using the Sonine-Hermite polynomial ansatz in the style of Zhdanov et al. First, we outline the general derivation method. Then, we provide the collision coefficients in the most general form in terms of the Chapman-Cowling integrals for any potential of interaction for the 21N-moment approximation. Then, we provide the the collision coefficients for the specific case of the approximated Coulomb potential cross-section with Debye cutoff. These coefficients help in order to find easy implementation in current SOL/edge fluid packages which currently implement the 21N-moment single-temperature coefficients. This provides the completion of a missing link in the current literature.

19 pages, 0 figures. Accepted by Contributions to Plasma Physics (Dec 2021). arXiv admin note: substantial text overlap with arXiv:2103.02455

References in corpus (4)

• Equations and improved coefficients for paralleltransport in multicomponent collisional plasmas: method and application for tokamak modelling
• Multi-temperature Generalized Zhdanov Closure for Scrape-Off Layer/Edge Applications
• Generalized Collisional Fluid Theory for Multi-Component, Multi-Temperature Plasma Using The Linearized Boltzmann Collision Operator for Scrape-Off Layer/Edge Applications
• Impact of the improved parallel kinetic coefficients on the helium and neon transport in SOLPS-ITER for ITER