Padé-based arbitrary wavelength polarization closures for full-F gyro-kinetic and -fluid models

Abstract

We propose a solution to the long-standing short wavelength polarization closure shortfall of full-F gyro-fluid models. This is achieved by first finding an appropriate quadratic form of the gyro-fluid moment over the polarization part of the gyro-center Hamiltonian. Secondly, we deduce Padé-based approximations to the latter expression that produce a polarization charge density with the desired order of accuracy and retain linear polarization effects for arbitrary wavelengths. The proposed closures feature proper energy conservation and the anticipated Oberbeck-Boussinesq and long wavelength limits.

References in corpus (13)

• Radial convection of finite ion temperature, high amplitude plasma blobs
• Laguerre-Hermite Pseudo-Spectral Velocity Formulation of Gyrokinetics
• Gyro-induced acceleration of magnetic reconnection
• A gyrokinetic model for the plasma periphery of tokamak devices
• Nonlinear gyrofluid computation of edge localised ideal ballooning modes
• A Drift-Kinetic Analytical Model for SOL Plasma Dynamics at Arbitrary Collisionality
• The influence of temperature dynamics and dynamic finite ion Larmor radius effects on seeded high amplitude plasma blobs
• Nonlocal Nonlinear Electrostatic Gyrofluid Equations: A four-moment model
• New closures for more precise modeling of Landau damping in the fluid framework
• Inertial blob-hole symmetry breaking in magnetised plasma filaments
• Non-Oberbeck-Boussinesq zonal flow generation
• Unified transport scaling laws for plasma blobs and depletions
• The collisional drift wave instability in steep density gradient regimes

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• Gyrokinetic simulations of plasma turbulence in a Z-pinch using a moment based approach and advanced collision operators
• Full-F Turbulent Simulation in a Linear Device using a Gyro-Moment Approach
• Turbulent field fluctuations in gyrokinetic and fluid plasmas
• Developing a Linear Fluid Plasma Model with Accurate Kinetic Bernstein Waves: A First Step