Numerical algorithm for the calculation of non-symmetric bipolar and rotating monopolar vortex structures

B.W. van de Fliert, Embrecht W.C. van Groesen, R. de Roo, R.W. de Vries, R.W. de Vries

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    Abstract

    A numerical iteration scheme is presented for the calculation of coherent vortex structures. Steady solutions of the Euler vorticity equation are found, using a variational characterization for dipolar and monopolar vortices as relative equilibria of the Poisson system. The variational principle for the vorticity is solved by a numerical method for nonconvex optimization. Besides the variational principle for the vorticity, an optimization process is used for the multipliers that appear in the description. The free boundary is solved implicitly in the iteration process.
    Original languageEnglish
    Pages (from-to)1-25
    Number of pages25
    JournalJournal of computational and applied mathematics
    Volume62
    Issue number62
    DOIs
    Publication statusPublished - 1995

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