MINERVA: Ideal MHD stability code for toroidally rotating tokamak plasmas

Aiba, N.; Tokuda, S.; Furukawa, Masato; Snyder, P. B.; Chu, M. S.

doi:10.1016/j.cpc.2009.02.008

Cited by 40 publications

(71 citation statements)

References 42 publications

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“…Note that, as mentioned in Ref. 20, when a plasma rotates, the plasma pressure and the density are no longer flux surface values under the isothermal condition on each flux surface. In this paper, only the toroidal rotation effect on the equilibrium is taken into account.…”

Section: Effect Of Poloidal Rotation On Rwm Stability In a Toroidmentioning

confidence: 98%

“…As discussed in Ref. 20, the toroidal rotation effect on the equilibrium can be taken into account in the stability analysis with the MINERVA code. However, unfortunately, a toroidal equilibrium with poloidal rotation is difficult to obtain numerically; in particular, when the poloidal rotation velocity is transonic, shock waves are generated.…”

Section: Effect Of Poloidal Rotation On Rwm Stability In a Toroidmentioning

confidence: 99%

“…18. To solve the Eular-Lagrange equation of this quadratic form, we implement the RWMaC code 19 to the MHD stability code MINERVA; 20 RWMaC calculates the vacuum energies and the contribution of the perturbed magnetic field on the surface of the plasma and the wall, and MINERVA identifies the linear ideal MHD stability by solving Eq. ͑1͒.…”

Section: Bases For Discussing Rwm Stability With Rotationmentioning

confidence: 99%

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Impact of plasma poloidal rotation on resistive wall mode instability in toroidally rotating plasmas

2011

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Stability of resistive wall mode ͑RWM͒ is investigated in a cylindrical plasma and an axisymmetric toroidal plasma by taking into account not only toroidal rotation but also poloidal rotation. Since the Doppler shifted frequency is responsible for the RWM stability, the modification of this Doppler shifted frequency by poloidal rotation affects the rotation effect on RWM. When a poloidal rotation frequency is not so large, the effect of poloidal rotation on the RWM stability can be approximately treated with the modified toroidal rotation frequency. In a toroidal plasma, this modified frequency is determined by subtracting a toroidal component of the rotation parallel to the magnetic field from the toroidal rotation frequency. The poloidal rotation that counteracts the effect of the Doppler shift strongly reduces the stabilizing effect of toroidal rotation, but by changing the rotational direction, the poloidal rotation enhances this stabilizing effect. This trend is confirmed in not only a cylindrical plasma but also a toroidal plasma. This result indicates that poloidal rotation produces the dependence of the critical toroidal rotation frequency for stabilizing RWM on the rotational direction of toroidal rotation in the same magnetic configuration.

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Section: Effect Of Poloidal Rotation On Rwm Stability In a Toroidmentioning

confidence: 98%

Section: Effect Of Poloidal Rotation On Rwm Stability In a Toroidmentioning

confidence: 99%

Section: Bases For Discussing Rwm Stability With Rotationmentioning

confidence: 99%

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Impact of plasma poloidal rotation on resistive wall mode instability in toroidally rotating plasmas

2011

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“…For the latter case, the equilibrium and the eigenfunctions are imported from the existing linear MHD stability code, MINERVA (Aiba et al [21]). It will be shown that the interaction of AEs can occur because their eigenfunctions contain a small amount of acoustic and compressional Alfvén perturbations.…”

Section: Introductionmentioning

confidence: 99%

Unstrained Epitaxial Zn-Substituted Fe₃O₄ Films for Ferromagnetic Field-Effect Transistors

Ichimura

Fujiwara

Kushizaki

et al. 2013

Jpn. J. Appl. Phys.

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Nonlinear mode coupling of the (shear) Alfvén eigenmodes (AEs) is studied both analytically and numerically to understand the effect of the magnetohydrodynamic nonlinearity on the saturation mechanism. The energy transfer via the mode coupling can restrict the amplitude to a level that is estimated by the frequency mismatch and the coupling coefficient among the coupled modes. For the cases of cylindrical and toroidal geometries, new numerical codes are developed to calculate the coupling coefficient directly according to the Lagrangian theory of weakly nonlinear perturbations. It is shown that the shear AEs can couple with each other through the small compressional components of their eigenfunctions. By assuming low-β plasma, an analytic estimation of the coupling coefficient (∝ √ β) is derived in the cylindrical case. A coupling of reversed shear AEs in toroidal geometry indicates a more effective energy transfer at a lower amplitude level owing to the enhanced compressional perturbations in the poloidal sidebands. * a ,ξ b ,ξ c ) [9]. This formalism will be

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“…These instabilities exist even after the plasma rotation frequency enters a regime that is stable with respect to RWMs. The plasma stability is analyzed with the linear MHD stability code MINERVA/RWMaC [16,17], MINERVA [18] solves the Frieman-Rotenberg equation [19], including a parallel sound wave damping force Fsd that represents ion Landau damping [1,20]:…”

mentioning

confidence: 99%

Excitation of Flow-Stabilized Resistive Wall Mode by Coupling with Stable Eigenmodes in Tokamaks

Aiba

Hirota

2015

Phys. Rev. Lett.

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In a rotating toroidal plasma surrounded by a resistive wall, it is shown that linear MHD instabilities can be excited by couplings between the resistive wall mode (RWM) and stable ideal MHD modes. In particular, it is shown that the RWM can couple not only with stable external kink modes but also with Alfvén eigenmodes that are ordinarily in the stable continuum of a toroidal plasma. The RWM growth rate is shown to peak whenever the Doppler shift caused by the plasma rotation cancels the frequency of an ideal MHD mode, so that the mode appears to have zero frequency in the laboratory frame. At these values of the rotation frequency, the RWM can overcome the stabilizing effects of plasma rotation, continuum damping, and ion Landau damping.

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MINERVA: Ideal MHD stability code for toroidally rotating tokamak plasmas

Cited by 40 publications

References 42 publications

Impact of plasma poloidal rotation on resistive wall mode instability in toroidally rotating plasmas

Impact of plasma poloidal rotation on resistive wall mode instability in toroidally rotating plasmas

Unstrained Epitaxial Zn-Substituted Fe₃O₄ Films for Ferromagnetic Field-Effect Transistors

Excitation of Flow-Stabilized Resistive Wall Mode by Coupling with Stable Eigenmodes in Tokamaks

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MINERVA: Ideal MHD stability code for toroidally rotating tokamak plasmas

Cited by 40 publications

References 42 publications

Impact of plasma poloidal rotation on resistive wall mode instability in toroidally rotating plasmas

Impact of plasma poloidal rotation on resistive wall mode instability in toroidally rotating plasmas

Unstrained Epitaxial Zn-Substituted Fe3O4 Films for Ferromagnetic Field-Effect Transistors

Excitation of Flow-Stabilized Resistive Wall Mode by Coupling with Stable Eigenmodes in Tokamaks

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About

Unstrained Epitaxial Zn-Substituted Fe₃O₄ Films for Ferromagnetic Field-Effect Transistors