Toroidal gyrofluid equations for simulations of tokamak turbulence

Journal Article · Fri Nov 01 04:00:00 EST 1996 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.871538· OSTI ID:388230

Beer, M A; Hammett, G W ^[1]

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1. Princeton University Plasma Physics Laboratory, Princeton, New Jersey 08543 (United States)

A set of nonlinear gyrofluid equations for simulations of tokamak turbulence are derived by taking moments of the nonlinear toroidal gyrokinetic equation. The moment hierarchy is closed with approximations that model the kinetic effects of parallel Landau damping, toroidal drift resonances, and finite Larmor radius effects. These equations generalize the work of Dorland and Hammett [Phys. Fluids B {bold 5}, 812 (1993)] to toroidal geometry by including essential toroidal effects. The closures for phase mixing from toroidal {bold {nabla}}{ital B} and curvature drifts take the basic form presented in Waltz {ital et} {ital al}. [Phys. Fluids B {bold 4}, 3138 (1992)], but here a more rigorous procedure is used, including an extension to higher moments, which provides significantly improved accuracy. In addition, trapped ion effects and collisions are incorporated. This reduced set of nonlinear equations accurately models most of the physics considered important for ion dynamics in core tokamak turbulence, and is simple enough to be used in high resolution direct numerical simulations. {copyright} {ital 1996 American Institute of Physics.}

• Research Organization: Princeton Plasma Physics Laboratory
• DOE Contract Number: AC02-76CH03073
• OSTI ID: 388230
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 11 Vol. 3; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
LANDAU DAMPING
LARMOR RADIUS
MOMENTS METHOD
PLASMA FLUID EQUATIONS
PLASMA MICROINSTABILITIES
PLASMA SIMULATION
TOKAMAK DEVICES
TURBULENCE