CASTOR: Normal-Mode Analysis of Resistive MHD Plasmas

Kerner, W.; Goedbloed, J. P.; Huysmans, G. T. A.; Poedts, Stefaan; Schwarz, E. J.

doi:10.1006/jcph.1998.5910

Cited by 128 publications

(156 citation statements)

References 22 publications

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“…The algebraic complexities were assisted by using Mathematica to output the matrix elements in a form which could be directly inserted into a Fortran code. Integral forms of the linearized resistive MHD equations are expanded using the finite element representations and the resulting coupled equations are reduced to matrix form: the overall formulation which is similar to the two-dimensional resistive code CASTOR [4]. The code has been tested using some analytical one-dimensional results [5], two-dimensional Solov'ev equilibria [6] and LHD model equilibria [1,6,7].…”

Section: Code Formulationmentioning

confidence: 99%

“…The vacuum rotational transform is dependent on , with ι ≈ ι (0.286 + 0.714ψ), where ψ is the normalized toroidal flux. We then introduce a strongly peaked toroidal plasma current into these configurations, with J = J 0 (1 − ψ) 4 , with the pressure gradient profile still constrained to be zero. For a range of ι and J 0 we consider perturbations in the n = · · · −16, 1, 18 .…”

Section: A 17-period Heliotronmentioning

confidence: 99%

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SPECTOR3D: a resistive magnetohydrodynamic stability code for stellarators

McMillan

Storer²

2006

J. Plasma Phys.

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Section: Code Formulationmentioning

confidence: 99%

Section: A 17-period Heliotronmentioning

confidence: 99%

SPECTOR3D: a resistive magnetohydrodynamic stability code for stellarators

McMillan

Storer²

2006

J. Plasma Phys.

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“…The structure of the code is similar to that of the CASTOR code for calculating the spectra of a static compressible torus (Huysmans et al 1993, Kerner et al 1998.…”

Section: Waves and Instabilitiesmentioning

confidence: 99%

“…The Galerkin method is applied in combination with a finite-element discretization for the radial direction and a Fourier decomposition for the poloidal direction. For details about the numerics, we refer to Huysmans et al (1993) and Kerner et al (1998). Here we describe the code for the incompressible plasma cylinder globally, and we point out where the new code differs from CASTOR.…”

Section: The In2fles Codementioning

confidence: 99%

Mode coupling in two-dimensional magnetohydrodynamic flows

Nijboer

Goedbloed

1999

J. Plasma Phys.

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The spectrum of incompressible waves and instabilities of two-dimensional plasma geometries with background flow is calculated. The equilibrium is solved numerically by the recently developed program FLow Equilibrium Solver (FLES). The spectra of the equilibria are computed by means of another new program, the INcompressible 2-dimensional FLow Eigenvalue Solver (IN2FLES). Magnetic instabilities and instabilities driven by the two-dimensionality and the flow are found. For linear equilibria, the eigenvalues for elliptical geometries remain close to the curves on which the eigenvalues for circular geometries lie. These curves may be found for unbounded domains by a calculation in Fourier space [see Lifschitz, A. In: Proceedings of 1995 International Workshop on Operator Theory and Applications (ed. R. Mennicken and C. Tretter), pp. 97-117, Birkhäuser, Boston, 1998]. Here the relation between a new continuous spectrum of unbounded domains and the discrete spectrum of bounded domains is investigated. Finally, it is found that the two-dimensionality and the background flow may lead to an overstable clusterpoint.

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“…Until recently, the large scale spectral codes CASTOR 16,12] and POLLUX 6] that we employ for the computation of tokamak and coronal loop spectra calculated them either by solving for the whole spectrum with a direct dense matrix method like QR or using inverse vector iteration for a selection of eigenpair solutions in the neighborhood of a target value 11]. The QR method is limited to very coarse meshes (due to its storage and computation requirements) and large values of the resistivity (to get reasonably converged results).…”

Section: Introductionmentioning

confidence: 99%

Application of the Jacobi—Davidson Method to Spectral Calculations in Magnetohydrodynamics

Beliën

Holst

Nool³

et al. 2000

High Performance Computing and Networking

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Abstract. For the solution of the generalized complex non-Hermitian eigenvalue problems Ax = Bx occurring in the spectral study of linearized resistive magnetohydrodynamics (MHD) a new parallel solver based on the recently developed Jacobi-Davidson 18] method has been developed. A brief presentation of the implementation of the solver is given here. The new solver is very well suited for the computation of some selected interior eigenvalues related to the resistive Alfv en wave spectrum and is well parallelizable. All features of the spectrum are easily and accurately computed with only a few target shifts.

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CASTOR: Normal-Mode Analysis of Resistive MHD Plasmas

Cited by 128 publications

References 22 publications

SPECTOR3D: a resistive magnetohydrodynamic stability code for stellarators

SPECTOR3D: a resistive magnetohydrodynamic stability code for stellarators

Mode coupling in two-dimensional magnetohydrodynamic flows

Application of the Jacobi—Davidson Method to Spectral Calculations in Magnetohydrodynamics

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