Consistency in Drift-ordered Fluid Equations

Abstract

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 a 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 first-order 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.

arXiv comment22 pages

References in corpus (5)

• Collisional transport across the magnetic field in drift-fluid models
• The Character of Transport Caused by ExB Drift Turbulence
• The influence of temperature dynamics and dynamic finite ion Larmor radius effects on seeded high amplitude plasma blobs
• Non-relativistic limits of Maxwell's equations
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Cited by in corpus (2)

• Multi-temperature Generalized Zhdanov Closure for Scrape-Off Layer/Edge Applications
• Conservative formulation of the drift-reduced fluid plasma model