Multicomponent transport in plasmas; exploiting stoichiometry

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Abstract

A system of mass balance equations is set up for plasma-chemical simulations, we derive the diffusion velocities from Stefan-Maxwell theory. An algorithm to linearly transform the system of mass balance equations in the context of non-LTE plasmas is described. This transformation is derived from the reaction set, and eliminates part of the chemical source term, enforces invariants such as conservation of mass and quasi-neutrality up to machine precision, provides a reduction in the number of unknowns, and significantly improves conditioning of the discretized system. The MATLAB code used in the numerical experiments is available on GitLab: https://gitlab.com/ChrisSchoutrop/stoichiometric-transformation.
Original languageEnglish
Article number109979
Number of pages25
JournalJournal of Computational Physics
Volume428
DOIs
Publication statusAccepted/In press - 6 Nov 2020

Keywords

  • Conservation of invariants
  • Multicomponent transport
  • Partial elimination chemical sources
  • Plasma physics
  • Regularization of diffusion matrix
  • Stoichiometric transformation

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