Spectral Approach to Plasma Kinetic Simulations Based on Hermite Decomposition in the Velocity Space
Here, spectral (transform) methods for solution of Vlasov-Maxwell system have shown significant promise as numerical methods capable of efficiently treating fluid-kinetic coupling in magnetized plasmas. We discuss SpectralPlasmaSolver (SPS), an implementation of three-dimensional, fully electromagnetic algorithm based on a decomposition of the plasma distribution function in Hermite modes in velocity space and Fourier modes in physical space. A fully-implicit time discretization is adopted for numerical stability and to ensure exact conservation laws for total mass, momentum and energy. The SPS code is parallelized using Message Passing Interface for distributed memory architectures. Application of the method to analysis of kinetic range of scales in plasma turbulence under conditions typical of the solar wind is demonstrated. With only 4 Hermite modes per velocity dimension, the algorithm yields damping rates of kinetic Alfvén waves with accuracy of 50% or better, which is sufficient to obtain a model of kinetic scales capable of reproducing many of the expected statistical properties of turbulent fluctuations. With increasing number of Hermite modes, progressively more accurate values for collisionless damping rates are obtained. Fully nonlinear simulations of decaying turbulence are presented and successfully compared with similar simulations performed using Particle-In-Cell method.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- Grant/Contract Number:
- AC52-06NA25396
- OSTI ID:
- 1467122
- Alternate ID(s):
- OSTI ID: 1481149
- Report Number(s):
- LA-UR-18-23813; 27
- Journal Information:
- Frontiers in Astronomy and Space Sciences, Journal Name: Frontiers in Astronomy and Space Sciences Vol. 5; ISSN 2296-987X
- Publisher:
- Frontiers Media SACopyright Statement
- Country of Publication:
- Switzerland
- Language:
- English
Decomposition of plasma kinetic entropy into position and velocity space and the use of kinetic entropy in particle-in-cell simulations
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journal | August 2019 |
Numerical Study of Inertial Kinetic-Alfvén Turbulence
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journal | January 2019 |
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