Simultaneously Resolved Bifurcation Diagrams: A Novel Global Approach Applied to Liquid Figures of Equilibrium

G. Domokos, Imre Szeberényi, Paul H. Steen

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A new approach to the computation of bifurcation diagrams is illustrated on axi-symmetric equilibria of liquid droplets and bridges. The new technique has an architecture that solves boundary-value problems in parallel and delivers a global bifurcation diagram, capturing isolated branches. In contrast, conventional techniques deliver solutions in sequence using local path continuation. A suitable mathematical formulation for the classical problem of predicting shapes of droplet and bridge equilibria is introduced and it its shown how the new technique yields global diagrams. Properties of these diagrams allow families of equilibria to be organized in a way that reveals common structures.

Original languageEnglish
Pages (from-to)38-57
Number of pages20
JournalJournal of Computational Physics
Volume159
Issue number1
DOIs
Publication statusPublished - Mar 20 2000

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diagrams
Bifurcation (mathematics)
Liquids
liquids
Boundary value problems
boundary value problems
formulations

Keywords

  • Bifurcation
  • BVP
  • Liquid bridges
  • Liquid drops
  • ODE

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

Simultaneously Resolved Bifurcation Diagrams : A Novel Global Approach Applied to Liquid Figures of Equilibrium. / Domokos, G.; Szeberényi, Imre; Steen, Paul H.

In: Journal of Computational Physics, Vol. 159, No. 1, 20.03.2000, p. 38-57.

Research output: Contribution to journalArticle

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