Linearized model Fokker–Planck collision operators for gyrokinetic simulations. II. Numerical implementation and tests
- 1 July 2009
- journal article
- research article
- Published by AIP Publishing in Physics of Plasmas
- Vol. 16 (7), 072107
- https://doi.org/10.1063/1.3155085
Abstract
A set of key properties for an ideal dissipation scheme in gyrokinetic simulations is proposed, and implementation of a modelcollision operator satisfying these properties is described. This operator is based on the exact linearized test-particle collision operator, with approximations to the field-particle terms that preserve conservation laws and an H -theorem. It includes energy diffusion, pitch-angle scattering, and finite Larmor radius effects corresponding to classical (real-space) diffusion. The numerical implementation in the continuum gyrokinetic code GS2 [Kotschenreuther et al., Comput. Phys. Comm.88, 128 (1995)] is fully implicit and guarantees exact satisfaction of conservation properties. Numerical results are presented showing that the correct physics is captured over the entire range of collisionalities, from the collisionless to the strongly collisional regimes, without recourse to artificial dissipation.Keywords
Other Versions
This publication has 41 references indexed in Scilit:
- Linearized model Fokker–Planck collision operators for gyrokinetic simulations. I. TheoryPhysics of Plasmas, 2008
- Secondary tearingmode in the nonlinear evolution of magnetorotational instabilityAstronomische Nachrichten, 2008
- Neoclassical simulation of tokamak plasmas using the continuum gyrokinetic code TEMPESTPhysical Review E, 2008
- Gyrokinetic linear theory of the entropy mode in a Z pinchPhysics of Plasmas, 2006
- Discrete particle noise in particle-in-cell simulations of plasma microturbulencePhysics of Plasmas, 2005
- Comparison of initial value and eigenvalue codes for kinetic toroidal plasma instabilitiesComputer Physics Communications, 1995
- Ion thermal conductivity for a pure tokamak plasmaPhysics of Fluids, 1983
- Approximate Fokker–Planck collision operator for transport theory applicationsPhysics of Fluids, 1976
- Theory of plasma transport in toroidal confinement systemsReviews of Modern Physics, 1976
- Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given MatrixThe Annals of Mathematical Statistics, 1950