A quantitative model for heat pulse propagation across large helical device plasmas

H. Zhu, R. O. Dendy, S. C. Chapman, S. Inagaki

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

It is known that rapid edge cooling of magnetically confined plasmas can trigger heat pulses that propagate rapidly inward. These can result in large excursion, either positive or negative, in the electron temperature at the core. A set of particularly detailed measurements was obtained in Large Helical Device (LHD) plasmas [S. Inagaki et al., Plasma Phys. Controlled Fusion 52, 075002 (2010)], which are considered here. By applying a travelling wave transformation, we extend the model of Dendy et al., Plasma Phys. Controlled Fusion 55, 115009 (2013), which successfully describes the local time-evolution of heat pulses in these plasmas, to include also spatial dependence. The new extended model comprises two coupled nonlinear first order differential equations for the (x, t) evolution of the deviation from steady state of two independent variables: the excess electron temperature gradient and the excess heat flux, both of which are measured in the LHD experiments. The mathematical structure of the model equations implies a formula for the pulse velocity, defined in terms of plasma quantities, which aligns with empirical expectations and is within a factor of two of the measured values. We thus model spatio-temporal pulse evolution, from first principles, in a way which yields as output the spatiotemporal evolution of the electron temperature, which is also measured in detail in the experiments. We compare the model results against LHD datasets using appropriate initial and boundary conditions. Sensitivity of this nonlinear model with respect to plasma parameters, initial conditions, and boundary conditions is also investigated. We conclude that this model is able to match experimental data for the spatio-temporal evolution of the temperature profiles of these pulses, and their propagation velocities, across a broad radial range from r/ã0.5 to the plasma core. The model further implies that the heat pulse may be related mathematically to soliton solutions of the Korteweg-de Vries-Burgers equation.

Original languageEnglish
Article number062308
JournalPhysics of Plasmas
Volume22
Issue number6
DOIs
Publication statusPublished - Jun 1 2015

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heat
propagation
pulses
controlled fusion
electron energy
boundary conditions
Burger equation
propagation velocity
traveling waves
temperature profiles
heat flux
temperature gradients
differential equations
solitary waves
actuators
deviation
cooling
output
sensitivity

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

A quantitative model for heat pulse propagation across large helical device plasmas. / Zhu, H.; Dendy, R. O.; Chapman, S. C.; Inagaki, S.

In: Physics of Plasmas, Vol. 22, No. 6, 062308, 01.06.2015.

Research output: Contribution to journalArticle

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