A high-accuracy Eulerian gyrokinetic solver for collisional plasmas

Candy, J.; Belli, E. A.; Bravenec, R. V.

doi:10.1016/j.jcp.2016.07.039

Title: A high-accuracy Eulerian gyrokinetic solver for collisional plasmas

Journal Article · Tue Aug 02 00:00:00 EDT 2016 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2016.07.039· OSTI ID:1512807

^[1]; Belli, E. A. ^[1]; Bravenec, R. V. ^[2]

General Atomics, San Diego, CA (United States)
Fourth State Research, Austin, TX (United States)

We describe here a new approach to solve the electromagnetic gyrokinetic equations which is optimized for accurate treatment of multispecies Fokker–Planck collisions including both pitch-angle and energy diffusion. The new algorithm is spectral/pseudospectral in four of the five phase space dimensions, and in the fieldline direction a novel 5th-order conservative upwind scheme is used to permit high-accuracy electromagnetic simulation even in the limit of very high plasma β and vanishingly small perpendicular wavenumber, $k_{⊥} \to 0$ . To our knowledge, this is the first pseudospectral implementation of the collision operator in a gyrokinetic code. We show that the new solver agrees closely with GYRO in the limit of weak Lorentz collisions, but gives a significantly more realistic description of collisions at high collision frequency. The numerical methods are also designed to be efficient and scalable for multiscale simulations that treat ion-scale and electron–scale turbulence simultaneously.

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Research Organization:: General Atomics, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: FC02-08ER54963; FC02-06ER54873

OSTI ID:: 1512807

Alternate ID(s):: OSTI ID: 1359301; OSTI ID: 1512805; OSTI ID: 1512806

Report Number(s):: GA-A28249

Journal Information:: Journal of Computational Physics, Vol. 324; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 83 works

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