A Flux-Balanced Fluid Model for Collisional Plasma Edge Turbulence: Model Derivation and Basic Physical Features
arXiv:1807.08054 · doi:10.1063/1.5049389
Abstract
We propose a new reduced fluid model for the study of the drift wave -- zonal flow dynamics in magnetically confined plasmas. Our model can be viewed as an extension of the classic Hasegawa-Wakatani (HW) model, and is based on an improved treatment of the electron dynamics parallel to the field lines, to guarantee a balanced electron flux on the magnetic surfaces. Our flux-balanced HW (bHW) model contains the same drift-wave instability as previous HW models, but unlike these models, it converges exactly to the modified Hasegawa-Mima model in the collisionless limit. We rely on direct numerical simulations to illustrate some of the key features of the bHW model, such as the enhanced variability in the turbulent fluctuations, and the existence of stronger and more turbulent zonal jets than the jets observed in other HW models, especially for high plasma resistivity. Our simulations also highlight the crucial role of the feedback of the third-order statistical moments in achieving a statistical equilibrium with strong zonal structures. Finally, we investigate the changes in the observed dynamics when more general dissipation effects are included, and in particular when we include the reduced model for ion Landau damping originally proposed by Wakatani and Hasegawa.
23 pages, 9 figures
References in corpus (5)
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Cited by in corpus (9)
- Zonally dominated dynamics and Dimits threshold in curvature-driven ITG turbulence
- Theory of the tertiary instability and the Dimits shift from reduced drift-wave models
- A Flux-Balanced Fluid Model for Collisional Plasma Edge Turbulence: Numerical Simulations with Different Aspect Ratios
- Dimits shift, avalanche-like bursts, and Solitary propagating structures in the two-field Flux-Balanced Hasegawa-Wakatani model for plasma edge turbulence
- Solitary zonal structures in subcritical drift waves: a minimum model
- Nearly integrable flows and chaotic tangles in the Dimits shift regime of plasma edge turbulence
- The Maintenance of Coherent Vortex Topology by Lagrangian Chaos in Drift-Rossby Wave Turbulence
- A phase-shift-periodic parallel boundary condition for low-magnetic-shear scenarios
- Zonal Jet Creation from Secondary Instability of Drift Waves for Plasma Edge Turbulence