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• W26546223 abstract "We describe work in progress to formulate a general geometry full radius nonlinear electromagnetic gyrokinetic code to simulate high-n turbulence and transport in tokamaks. The code employs continuum (fluid-like) methods in a 5-dimensional grid space. The code has three modes of operation: (1) flux tube with periodic radial boundary condition (i.e., a high-n bal- looning mode representation with ∆ n ≈ 10); (2) a full radius wedge code ( ∆ n ≈ 10) to study profiles shear effects; and (3) a full torus ( ∆ n = 1) code to study coupling to low-n MHD. Introduction and Motivation The electromagnetic gyrokinetic equations encompass the full physics of turbulence and transport due to low-frequency motion (less than the cyclotron frequency) for systems where the ion gyroradius is small compared to the variation length of the magnetic field. Heretofore, such linear (1) and nonlinear equations (2) have been formulated in the high-n ballooning mode representation (BMR) in which the relative ion gyroradius, ρ * = ρ i/a, vanishes. Previous simulations have been largely limited to adiabatic electrons, electrostatic perturbations, and use particle (Monte-Carlo) methods which treat only ion temperature gradient mode (ITG) turbulence in infinite aspect ratio circular s- α model geometry. Related work (3) is in progress on a nonlinear ballooning-space code employing successful implicit techniques (4) to treat fast passing electrons and electromagnetic dynamics. The BMR uses a radial Fourier transform or flux tube with radially periodic boundary conditions. The present work avoids this transform and stays in the physical (r, θ) space so as to treat the effects of slow radial equilibrium profile variations on the turbulence. It is now well known from gyrofluid ballooning mode simulations of ITG turbulence that profile shear in the equilibrium E × B velocity can completely stabilize the turbulence when the shear rate, γ∂ E r ExB r q qV r = ( / ) ( / ), is comparable to the maximum linear ballooning mode rate (5). However in reality the shear rate in the diamagnetic velocity is comparable with that in the E× B velocity and is expected to have a similar effect. This and other profile variations can only be treated with a full radius code which retains finite ρ*. In addition the code should provide a more physical measure of non-local avalanche and action at a distance (6) effects. A final and more distant motivation is to study the interaction of high-n micro-scale turbulence with low-n global MHD modes. The code uses Miller's local equilibrium (7) which generalizes the s-α model by retaining arbitrary aspect ratio, Shafranov shift, ellipticity, and triangularity. Thus we expect to have a good description of low-n MHD modes when running the code as a full torus with toroidal mode numbers n = 0,1,2, … 100, rather than a full radius wedge (1/10th torus) with n = 0,10,20, … 100." @default.
• W26546223 created "2016-06-24" @default.
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• W26546223 date "1999-01-01" @default.
• W26546223 modified "2023-09-27" @default.
• W26546223 title "Progress on a Full Radius Electromagnetic Gyrokinetic Code" @default.
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