Abstract

Accurate modelling of the thermal transport in the ‘scrape-off-layer’ (SOL) is of great importance for assessing the divertor exhaust power handling in future high-power tokamak devices. In conditions of low collisionality and/or steep temperature gradients that will be characteristic of such devices, classical local diffusive transport theory breaks down, and the thermal transport becomes nonlocal, depending on conditions in distant regions of the plasma. An advanced nonlocal thermal transport model is implemented into a 1D SOL code ‘SD1D’ to create ‘SD1D-nonlocal’, for the study of nonlocal transport in tokamak SOL plasmas. The code is applied to study typical ITER steady-state conditions, to assess the relevance of nonlocality for ITER operating scenarios. Results suggest that nonlocal effects will be present in the ITER SOL, with strong sensitivity in simulation outputs observed for small changes in upstream density conditions, and drastically different temperature profiles predicted using local/nonlocal transport models in some cases. Global flux limiters are shown to be inadequate to capture the spatially and temporally changing SOL conditions. Introducing impurity seeding, under conditions where detached divertor operation is achieved using the flux-limited Spitzer-Härm models used in standard SOL codes, simulations using the nonlocal thermal transport model under equivalent conditions were found to not reach detachment. An analysis of the connection between SOL collisionality and nonlocality suggests that nonlocal effects will be significant for future devices such as DEMO as well. The results motivate further work using nonlocal transport models to study disruption events and low collisionality regimes for ITER, to further improve accuracy of the nonlocal models employed in comparison to kinetic codes, and to identify more appropriate boundary conditions for a nonlocal SOL model.

Highlights

  • An important limiting factor for the design of future tokamak fusion devices is the thermal heat flux onto the exhaust target plates

  • Results suggest that nonlocal effects will be present in the ITER Scrape-Off Layer (SOL), with strong sensitivity in simulation outputs observed for small changes in upstream density conditions, and drastically different temperature profiles predicted using local/nonlocal transport models in some cases

  • Spitzer-Harm, flux-limited (FL) and nonlocal SD1D heat flux models were run to stationary steady-state solutions, with the FL runs performed with an α value of 0.2

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Summary

Introduction

An important limiting factor for the design of future tokamak fusion devices is the thermal heat flux onto the exhaust target plates. The resulting set of equations are solved as an eigenvector problem to produce moment equation solutions, of which the 3rd-order corresponds to the thermal transport This model has been tested and compared with both kinetic and local flux-limited thermal transport models [17], and whilst the model has some limitations - for example being unable to predict preheat effects - it has been shown to have the advantage of reproducing flux-limited cases of varying magnitude flux-limiter in time-dependent simulations over a range of plasma conditions [17] without requiring hand-tuned fitting parameters.

Ji-Held nonlocal thermal transport model
SD1D-nonlocal
Ji-Held nonlocal model
Spitzer-Harm
Flux-limited Spitzer-Harm
Varied ITER SOL collisionality
Predicting SOL nonlocality
Assessing nonlocality using local temperature scalelength
Assessing nonlocality using connection length
Impurity seeding
Findings
Discussion
10. Conclusions
Full Text
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