Investigation of a Multiple-Timescale Turbulence-Transport Coupling Method in the Presence of Random Fluctuations
Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, CA 94550, USA
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Plasma 2018, 1(1), 126-143; https://doi.org/10.3390/plasma1010012
Received: 28 May 2018 / Revised: 5 July 2018 / Accepted: 10 July 2018 / Published: 12 July 2018
(This article belongs to the Special Issue Multiscale Methods in Plasma Physics)
One route to improved predictive modeling of magnetically confined fusion reactors is to couple transport solvers with direct numerical simulations (DNS) of turbulence, rather than with surrogate models. An additional challenge presented by coupling directly with DNS is the inherent fluctuations in the turbulence, which limit the convergence achievable in the transport solver. In this article, we investigate the performance of one numerical coupling method in the presence of turbulent fluctuations. To test a particular numerical coupling method for the transport solver, we use an autoregressive-moving-average model to generate stochastic fluctuations efficiently with statistical properties resembling those of a gyrokinetic simulation. These fluctuations are then added to a simple, solvable problem, and we examine the behavior of the coupling method. We find that monitoring the residual as a proxy for the error can be misleading. From a pragmatic point of view, this study aids us in the full problem of transport coupled to DNS by predicting the amount of averaging required to reduce the fluctuation error and obtain a specific level of accuracy.
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Keywords:
multiple-timescale; transport; turbulence
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MDPI and ACS Style
Parker, J.B.; LoDestro, L.L.; Campos, A. Investigation of a Multiple-Timescale Turbulence-Transport Coupling Method in the Presence of Random Fluctuations. Plasma 2018, 1, 126-143. https://doi.org/10.3390/plasma1010012
AMA Style
Parker JB, LoDestro LL, Campos A. Investigation of a Multiple-Timescale Turbulence-Transport Coupling Method in the Presence of Random Fluctuations. Plasma. 2018; 1(1):126-143. https://doi.org/10.3390/plasma1010012
Chicago/Turabian StyleParker, Jeffrey B., Lynda L. LoDestro, and Alejandro Campos. 2018. "Investigation of a Multiple-Timescale Turbulence-Transport Coupling Method in the Presence of Random Fluctuations" Plasma 1, no. 1: 126-143. https://doi.org/10.3390/plasma1010012
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