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.
- Publication:
-
Nuclear Fusion
- Pub Date:
- June 2020
- DOI:
- 10.1088/1741-4326/ab7a68
- arXiv:
- arXiv:1907.13439
- Bibcode:
- 2020NucFu..60f6014H
- Keywords:
-
- full-F gyro-fluid theory;
- full-F gyro-kinetic theory;
- polarization closure;
- padè-approximations;
- Physics - Plasma Physics
- E-Print:
- doi:10.1088/1741-4326/ab7a68