Journal article ยท Preprint article
Consistency in drift-ordered fluid equations
We address several concerns related to the derivation of drift-ordered fluid equations. Starting from a fully Galilean invariant fluid system, we show how consistent sets of perturbative drift-fluid equations in the case of an isothermal collisionless fluid can be obtained. Treating all the dynamical fields on equal footing in the singular-drift expansion, we show under what conditions a set of perturbative equations can have a non-trivial quasi-neutral limit.
We give a suitable perturbative setup where we provide the full set of perturbative equations for obtaining the first-order corrected fields and show that all the constants of motion are preserved at each order. With the dynamical field variables under perturbative control, we subsequently provide a quantitative analysis by means of numerical simulations.
With direct access to firstorder corrections, the convergence properties are addressed for different regimes of parameter space and the validity of the first-order approximation is discussed in the three settings: cold ions, hot ions, and finite charge density.
Language: | English |
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Publisher: | AIP Publishing |
Year: | 2019 |
Pages: | 032304 |
ISSN: | 10897674 and 1070664x |
Types: | Journal article and Preprint article |
DOI: | 10.1063/1.5081777 |
ORCIDs: | 0000-0002-8944-7532 and Wiesenberger, M. |