Modeling Beam Ion Relaxation with application to DIII-D K.Ghantous, N.N. Gorelenkov PPPL, 2012.

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Presentation transcript:

Modeling Beam Ion Relaxation with application to DIII-D K.Ghantous, N.N. Gorelenkov PPPL, 2012

TAE Induced Losses of EP

QL model where instability Saturation at marginal stability diffusion Illustration of self consistent QL relaxation

Using analytic expressions for finding the qualitative dependencies of the growth and damping rates on energetic particle’s  The mode that are most unstable form a plateau 1 in n number where the mode number, n relative mode widths to particle orbit Plasma parameters Isotropy Which is used to compute the critical conditions on the slope of the pressure profiles at each radial position r 0. 1 Fu, Phys. Fluids B 4 (1992) 3722; Reduced QL model i.e Kolesnichenko’s rough estimate for the percentage of particles that are resonant is 

Integrating relaxed profiles. With the constraints: continuityParticle conservation

NOVA and NOVA-K To apply 1.5D on experimental results, NOVA and NOVA-K are used to give quantitative accuracy to the analytically computed profiles. We find the two most localized modes from NOVA for a given n close to the expected values at the plateau. We calculate the damping and maximum growth rate at the two locations, r1 and r2, to which the analytic rates are calibrated to by multiplying them by the following factor, g(r).

DIII-D beam losses and TAE activity

NOVA Computed rates of discharge #142111

Normalized rates for t=575 ms

1.5D results