Application of Contour Dynamics to Systems with Cylindrical Boundaries

Backhaus, E. Yu.; Fajans, J.; Wurtele, J. S.

doi:10.1006/jcph.1998.6024

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Contour Dynamics and Stability Analysis1

Introduction1

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1999

2007

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Cited by 4 publications

(2 citation statements)

References 12 publications

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“…Here we must modify the standard CD formalism to include the boundary condition at the confining wall. 15 We use CD throughout this paper to obtain static shapes numerically, to investigate stability, and to perform dynamic simulations.…”

Section: Contour Dynamics and Stability Analysismentioning

confidence: 99%

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Stability of highly asymmetric non-neutral plasmas

1999

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Section: Contour Dynamics and Stability Analysismentioning

confidence: 99%

“…Contour dynamics-based 14,15 numerical studies of asymmetric plasmas reveal complicated dynamical behaviors that cannot be interpreted easily. In an attempt to clarify the picture of the transition to instability, we employ a framework developed for the study of bifurcations in Hamiltonian systems.…”

Section: Introductionmentioning

confidence: 99%

Stability of highly asymmetric non-neutral plasmas

1999

Self Cite

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Image-Charge Method for Contour Dynamics in Systems with Cylindrical Boundaries

Coppa¹,

Peano²,

Peinetti³

2002

Journal of Computational Physics

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Contour dynamics in complex domains

Crowdy

Surana

2007

J. Fluid Mech.

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This paper demonstrates that there is a contour dynamics formulation for the evolution of uniform vortex patches in any finitely connected planar domain bounded by impenetrable walls. A general numerical scheme is presented based on this formulation. The algorithm makes use of conformal mappings and follows the evolution of a conformal pre-image of a given vortex patch in a canonical multiply connected circular pre-image region. The evolution of vortex patches can be computed given just the conformal map from this pre-image region to the physical fluid region. The efficacy of the scheme is demonstrated by illustrative examples.

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Application of Contour Dynamics to Systems with Cylindrical Boundaries

Cited by 4 publications

References 12 publications

Stability of highly asymmetric non-neutral plasmas

Stability of highly asymmetric non-neutral plasmas

Image-Charge Method for Contour Dynamics in Systems with Cylindrical Boundaries

Contour dynamics in complex domains

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