FINESSE: axisymmetric MHD equilibria with flow

A.J.C. Beliën; Mikhail A. Bochev; J.P. Goedbloed; B. van der Holst; R. Keppens

doi:10.1006/jcph.2002.7153

FINESSE: axisymmetric MHD equilibria with flow

A.J.C. Beliën, Mikhail A. Bochev, J.P. Goedbloed, B. van der Holst, R. Keppens

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Abstract

The FINESSE code (finite element solver for stationary equilibria) computes axisymmetric magnetohydrodynamic equilibria in poloidal elliptic flow regimes for a variety of astrophysical and laboratory plasma configurations. The obtained equilibria are accurate and are used to study the spectral characteristics of such flowing equilibria. The nonlinear partial differential equation for the poloidal magnetic flux is solved in a weak form via Picard iteration, resulting in a large-scale linear problem. The algebraic Bernoulli equation for the poloidal Alfvén Mach number is solved with a nonlinear root finder. Converged solutions are obtained by iterating on these two equations.

Original language	Undefined
Article number	10.1006/jcph.2002.7153
Pages (from-to)	91-117
Number of pages	27
Journal	Journal of computational physics
Volume	182
Issue number	1
DOIs	https://doi.org/10.1006/jcph.2002.7153
Publication status	Published - 2002

Keywords

EWI-8955
IR-66835
METIS-207971

Access to Document

10.1006/jcph.2002.7153

Cite this

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title = "FINESSE: axisymmetric MHD equilibria with flow",

abstract = "The FINESSE code (finite element solver for stationary equilibria) computes axisymmetric magnetohydrodynamic equilibria in poloidal elliptic flow regimes for a variety of astrophysical and laboratory plasma configurations. The obtained equilibria are accurate and are used to study the spectral characteristics of such flowing equilibria. The nonlinear partial differential equation for the poloidal magnetic flux is solved in a weak form via Picard iteration, resulting in a large-scale linear problem. The algebraic Bernoulli equation for the poloidal Alfv{\'e}n Mach number is solved with a nonlinear root finder. Converged solutions are obtained by iterating on these two equations.",

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T1 - FINESSE: axisymmetric MHD equilibria with flow

AU - Beliën, A.J.C.

AU - Bochev, Mikhail A.

AU - Goedbloed, J.P.

AU - van der Holst, B.

AU - Keppens, R.

N1 - Please note different possible spellings of the second author's name: "Botchev" or "Bochev".

PY - 2002

Y1 - 2002

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AB - The FINESSE code (finite element solver for stationary equilibria) computes axisymmetric magnetohydrodynamic equilibria in poloidal elliptic flow regimes for a variety of astrophysical and laboratory plasma configurations. The obtained equilibria are accurate and are used to study the spectral characteristics of such flowing equilibria. The nonlinear partial differential equation for the poloidal magnetic flux is solved in a weak form via Picard iteration, resulting in a large-scale linear problem. The algebraic Bernoulli equation for the poloidal Alfvén Mach number is solved with a nonlinear root finder. Converged solutions are obtained by iterating on these two equations.

KW - EWI-8955

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KW - METIS-207971

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DO - 10.1006/jcph.2002.7153

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