A gyro-Landau-fluid transport model

Conference · Tue Dec 31 04:00:00 EST 1996

OSTI ID:489435

Waltz, R E ^[1]; Dorland, W; Kotschenreuther, M ^[2]

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1. General Atomics, San Diego, CA (United States)
2. Univ. of Texas, Austin, TX (United States); and others

A comprehensive but practical dispersion theoretic transport code model has been developed which can tuned to reproduce the linear growth rates of a 3D ballooning mode gyrokinetic stability (GKS) code and the transport coefficients of 3D nonlinear gyro-Landau-fluid (GLF) simulations. An eight-fold set of 2D GLF equations of motion is solved for all linear growth rates and quasilineax energy, particle, and momentum flows. The toroidal ion temperature gradient (ITG) mode, the collisionless to dissipative trapped electron drift modes, and the ideal MHD ballooning modes, as well as the edge resistive modes, axe included. The dependence on magnetic shear and toroidicity is retained by evaluations with a fixed trial wave function in the extended ballooning angle. The leading ballooning modes at k{sub y} {proportional_to} 1/(q{rho}{sub s}) axe used to evaluate a mixing length rule given by v{sub ExB} {circ} k{sub {perpendicular}} {approx} ({gamma}{gamma}{sup -}){sup {1/2}} where {gamma} is the growth rate of the leading ballooning mode and {gamma}{sup -} is the damping rate of a radial mode (k{sub y} = 0, k{sub z} {ne} 0). The ion heat diffusion X {approx} {gamma}{sup -}k{sub {perpendicular}}{sup 2} {circ} {gamma}{sup 2} /({gamma}{sup 2} + {omega}{sup 2}) shows the dependence on radial modes and saturation with temperature gradient seen in recent simulations. Rotational shear stabilization is included by setting {gamma} = {gamma}{sub 0} - {gamma}{sub E} - {gamma}{sub *} where {gamma}{sub E} is the Doppler rotational (E x B) shear rate and {gamma}{sub *} is a general diamagnetic rotational shear rate. Unlike the shearless ballooning mode growth rate {gamma}{sub 0} which is independent of {rho}*, {gamma}* and (diamagnetically induced) {gamma}{sub E} increase with {rho}* breaking the otherwise gyroBohm. scaling of the transport coefficients.

• DOE Contract Number: FG05-80ET53088; AC02-76CH03073
• OSTI ID: 489435
• Report Number(s): CONF-960354--
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BALLOONING INSTABILITY
ION TEMPERATURE
MHD EQUILIBRIUM
PLASMA FLUID EQUATIONS
PLASMA SIMULATION
TEMPERATURE GRADIENTS
TOKAMAK DEVICES
TOROIDAL CONFIGURATION