High order accurate vortex methods with explicit velocity kernels

J. T. Beale, A. Majda

Research output: Contribution to journalArticlepeer-review


Vortex methods of high order accuracy are developed for inviscid, incompressible fluid flow in two or three space dimensions. The velocity kernels are smooth functions given by simple, explicit formulas. Numerical results are given for test problems with exact solutions in two dimensions. It is found that the higher order methods yield a considerably more accurate representation of the velocity field than those of lower order for moderate integration times. On the other hand, the velocity field computed by the point vortex method has very poor accuracy at locations other than the particle trajectories.

Original languageEnglish (US)
Pages (from-to)188-208
Number of pages21
JournalJournal of Computational Physics
Issue number2
StatePublished - Apr 1985

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


Dive into the research topics of 'High order accurate vortex methods with explicit velocity kernels'. Together they form a unique fingerprint.

Cite this