A fully implicit, time dependent 2-D fluid code for modeling tokamak edge plasmas

Rognlien, T. D.; Milovich, J. L.; Rensink, M. E.; Porter, G. D.

doi:10.1016/s0022-3115(06)80058-9

Cited by 319 publications

(258 citation statements)

References 10 publications

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“…Our fully implicit formulation of the fluid equations gives us access to the strong convergence properties of Newton's method for the entire finite-differenced equation set: For fine grids the associated Jacobian matrix can require significant computational resources (large storage and long inversion times) [2]. Newton-Krylov methods allow reduction in the storage and time requirements, because an approximate factorization of the Jacobian matrix is sufficient and the sparsity of the Jacobian and its factors can be exploited [SI.…”

Section: Advanced Iterative Solution Methodsmentioning

confidence: 99%

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Techniques and results of tokamak-edge simulation

Smith

Brown

Campbell

et al. 1995

Journal of Nuclear Materials

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Section: Advanced Iterative Solution Methodsmentioning

confidence: 99%

“…The UEDGE simulation code is used to find equilibrium and time-dependent solutions of a two-dimensional fluid model of the tokamak edge as described in Ref. [2]. All of the 2-D models solve in the poloidal plane and assume classical parallel (and thus poloidal) transport and anomalous radial transport.…”

Section: Introductionmentioning

confidence: 99%

Techniques and results of tokamak-edge simulation

Smith

Brown

Campbell

et al. 1995

Journal of Nuclear Materials

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“…However, low toroidal mode numbers are most useful for driving a coherent perturbation above the X-point, which is assumed to be necessary for ELM control applications, and the 2D model quantifies the ability of passive techniques to alter the naturally generated axisymmetric poloidal asymmetry in T e . Here, the UEDGE code [19] Braginskii plasma with the addition of anomalous diffusion coefficients assumed to be generated by turbulence.…”

Section: Reactor-relevant Current Drive Techniques a Definitionmentioning

confidence: 99%

“…This technique was successful at driving 20-40% of the ion saturation current in a flux-tube model of the SOL [18] using the UEDGE code [19]. The electron temperature at the target plate is predicted to be most sensitive when the divertor plasma is at the border between attachment and detachment or close to the transition to a highly radiative state [20].…”

Section: Introductionmentioning

confidence: 99%

Generation of non-axisymmetric scrape-off layer perturbations for controlling tokamak edge plasma profiles and stability

et al. 2012

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A critical requirement for tokamak fusion reactors is the control of the divertor heat load, both the time-averaged value and the impulsive fluxes that accompany edge-localized modes. We propose driving toroidally varying currents through the scrape-off layer (SOL) plasma both to broaden the SOL by inducing radial convection and to control the edge pressure gradient by inducing resonant magnetic perturbations. The generation of additional convective transport via steady-state convective cells or increased turbulence drive requires that the electric potential perturbations exceed a threshold in amplitude that depends on wavelength. The generation of a coherent magnetic perturbation is optimized by choosing the appropriate width and phasing of the biasing region at the target plate in order to optimize the profile of the SOL current. Longer wavelength modes produce a larger effect because they are not sheared as strongly by the magnetic X-point. Generation of the necessary currents is challenging due to the possibly substantial power requirements and the possible need for internal insulators. We analyze passive current-drive mechanisms that rely on puffing and pumping of neutral gas in a toroidally asymmetric fashion using the UEDGE code to model the ITER divertor.

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“…1 These profiles are currently predicted with the 2D B2-EIRENE (version SOLPS4.3) transport code. 2 This code, as well as similar codes developed by other groups (e.g., UEDGE, 3,4 SOLEDGE2D-EIRENE 5 ), aims at including all physical processes at play in the SOL, i.e., various atomic physics processes (molecular dissociation channels, impurity transport), and plasma wall interactions (sputtering, wall response to the power loading, wall composition changes, and so on). However, achieving this goal requires some coarsegraining in order to obtain a computationally tractable model.…”

Section: Introductionmentioning

confidence: 99%

A coarse-grained transport model for neutral particles in turbulent plasmas

et al. 2012

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The transport of neutral particles in turbulent plasmas is addressed from the prospect of developing coarse-grained transport models which can be implemented in code suites like B2-EIRENE, currently used for designing the ITER divertor. The statistical properties of turbulent fluctuations are described by a multivariate Gamma distribution able to retain space and time correlations through a proper choice of covariance function. We show that in the scattering free case, relevant for molecules and impurity atoms, the average neutral particle density obeys a Boltzmann equation with an ionization rate renormalized by fluctuations. This result lends itself to a straightforward implementation in the EIRENE Monte Carlo solver for neutral particles. Special emphasis is put on the inclusion of time correlations, and in particular on the ballistic motion of coherent turbulent structures. The role of these time dependent effects is discussed for D 2 molecules and beryllium atoms. The sensitivity of our results to the assumptions on the statistical properties of fluctuations is investigated.

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A fully implicit, time dependent 2-D fluid code for modeling tokamak edge plasmas

Cited by 319 publications

References 10 publications

Techniques and results of tokamak-edge simulation

Techniques and results of tokamak-edge simulation

Generation of non-axisymmetric scrape-off layer perturbations for controlling tokamak edge plasma profiles and stability

A coarse-grained transport model for neutral particles in turbulent plasmas

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