Nonlinear saturation of nonresonant internal instabilities in a straight spheromak

W. Park; S. C. Jardin

doi:10.1063/1.864364

Nonlinear saturation of nonresonant internal instabilities in a straight spheromak

W. Park
, S. C. Jardin

PPPL Theory

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

An initial value numerical solution of the time-dependent nonlinear ideal magnetohydrodynamic equations demonstrates that spheromak equilibria which are linearly unstable to nonresonant helical internal perturbations saturate at low amplitude without developing singularities. These instabilities thus represent the transition from an axisymmetric to a nonaxisymmetric equilibrium state, caused by a peaking of the current density.

Original language	English (US)
Pages (from-to)	1871-1873
Number of pages	3
Journal	Physics of Fluids
Volume	26
Issue number	7
DOIs	https://doi.org/10.1063/1.864364
State	Published - 1983

All Science Journal Classification (ASJC) codes

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.864364

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title = "Nonlinear saturation of nonresonant internal instabilities in a straight spheromak",

abstract = "An initial value numerical solution of the time-dependent nonlinear ideal magnetohydrodynamic equations demonstrates that spheromak equilibria which are linearly unstable to nonresonant helical internal perturbations saturate at low amplitude without developing singularities. These instabilities thus represent the transition from an axisymmetric to a nonaxisymmetric equilibrium state, caused by a peaking of the current density.",

author = "W. Park and Jardin, \{S. C.\}",

year = "1983",

doi = "10.1063/1.864364",

language = "English (US)",

volume = "26",

pages = "1871--1873",

journal = "Physics of Fluids",

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publisher = "American Institute of Physics",

number = "7",

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T1 - Nonlinear saturation of nonresonant internal instabilities in a straight spheromak

AU - Park, W.

AU - Jardin, S. C.

PY - 1983

Y1 - 1983

N2 - An initial value numerical solution of the time-dependent nonlinear ideal magnetohydrodynamic equations demonstrates that spheromak equilibria which are linearly unstable to nonresonant helical internal perturbations saturate at low amplitude without developing singularities. These instabilities thus represent the transition from an axisymmetric to a nonaxisymmetric equilibrium state, caused by a peaking of the current density.

AB - An initial value numerical solution of the time-dependent nonlinear ideal magnetohydrodynamic equations demonstrates that spheromak equilibria which are linearly unstable to nonresonant helical internal perturbations saturate at low amplitude without developing singularities. These instabilities thus represent the transition from an axisymmetric to a nonaxisymmetric equilibrium state, caused by a peaking of the current density.

UR - https://www.scopus.com/pages/publications/36749116477

UR - https://www.scopus.com/pages/publications/36749116477#tab=citedBy

U2 - 10.1063/1.864364

DO - 10.1063/1.864364

M3 - Article

AN - SCOPUS:36749116477

SN - 1070-6631

VL - 26

SP - 1871

EP - 1873

JO - Physics of Fluids

JF - Physics of Fluids

IS - 7

ER -

Nonlinear saturation of nonresonant internal instabilities in a straight spheromak

Abstract

All Science Journal Classification (ASJC) codes

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