UNIFIED FLUID KINETIC DESCRIPTION OF PLASMA MICROINSTABILITIES .1. BASIC EQUATIONS IN A SHEARED SLAB GEOMETRY

被引:136
作者
CHANG, ZY [1 ]
CALLEN, JD [1 ]
机构
[1] UNIV WISCONSIN,DEPT NUCL ENGN & ENGN PHYS,MADISON,WI 53706
来源
PHYSICS OF FLUIDS B-PLASMA PHYSICS | 1992年 / 4卷 / 05期
关键词
D O I
10.1063/1.860125
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Unified fluid/kinetic equations for the plasma perturbed density (n), parallel flow velocity (u(parallel-to)) and temperature (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 n, u(parallel-to) and T is developed using a drift ordering analysis and a new gyroviscous force (del.PI(g)). Thereafter, to develop linear closure relations for b.del.PI(parallel-to) and q(parallel-to), a drift-kinetic version of a new 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.del.PI(parallel-to) and q(parallel-to) unify 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 this new CEL approach is more compatible with a fluidlike description of plasmas than the usual drift/gyrokinetic approach. Remarkably simplified forms of the closure relations are presented. The results are compared with other Landau damping models and shown to be more accurate, complete, and physically realistic. Applications of this set of equations to various microinstabilities in tokamak plasmas are presented in a separate paper (Part II) [Phys. Fluids B 4, 1182 (1992)].
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页码:1167 / 1181
页数:15
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