Unified fluid/kinetic description of magnetized plasmas
Unified fluid/kinetic equations for the plasma perturbed density ({tilde n}), parallel flow velocity ({tilde u}{sub {parallel}}) and temperature ({tilde T}) are developed in a sheared slab geometry by calculating the fluid moment closure relations kinetically. At first, a set of (unclosed) nonlinear perturbed fluid equations for {tilde n}, {tilde u}{sub {parallel}} and {tilde T} is developed using a drift ordering analysis and a new gyroviscous force ({del} {center dot} {product}{sub g}). Thereafter, to develop linear closure relations for b {center dot} {del} {center dot} {tilde product}{sub {parallel}} and {tilde q}{sub {parallel}}, a drift-kinetic version of a Chapman-Enskog-like (CEL) equation is developed and solved by using a moment approach and a physically realistic collision operator (Lorentz scattering operator plus the momentum restoring terms.) The resultant closure relations for b {center dot} {del} {center dot} {tilde product}{sub {parallel}} and {tilde q}{sub {parallel}} unify both the fluid and kinetic approaches. In the collisional fluid limit the equations reduce to the well-known Braginskii equations. In the adiabatic limit they reproduce the usual kinetic results, including Landau damping. It is shown that the CEL approach is more compatible with a fluid-like description of plasmas than the usual drift/gyro kinetic approach. A remarkable simplification of these complicated closure relations is achieved by using single power of plasma dispersion functions with modified arguments. The results are compared with other recently developed Landau damping models and shown to be more accurate, complete and physically meaningful. The resultant set of nonlinear fluid/kinetic equations (with linear closure relations) will be applied to various microinstabilities in tokamak plasmas and drift type microturbulence in a separate paper. 19 refs., 7 refs., 1 tab.
- Research Organization:
- Wisconsin Univ., Madison, WI (United States)
- Sponsoring Organization:
- DOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- FG02-86ER53218
- OSTI ID:
- 5264227
- Report Number(s):
- UW-CPTC-91-7; ON: DE91018262
- Country of Publication:
- United States
- Language:
- English
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Unified plasma fluid/kinetic equations for tokamak microinstability and turbulence studies
Unified fluid/kinetic description of magnetized plasmas
Related Subjects
700103* -- Fusion Energy-- Plasma Research-- Kinetics
CHAPMAN-ENSKOG THEORY
CLOSED PLASMA DEVICES
CONFINEMENT
DAMPING
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
EQUATIONS
FLUID FLOW
FUNCTIONS
INSTABILITY
KINETIC EQUATIONS
LANDAU DAMPING
MAGNETIC CONFINEMENT
NONLINEAR PROBLEMS
PLASMA CONFINEMENT
PLASMA DENSITY
PLASMA INSTABILITY
PLASMA MICROINSTABILITIES
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TURBULENCE