Convergence of the Point Vortex Method for the 2-D Euler Equations

Abstract

We prove consistency, stability and convergence of the point vortex approximation to the 2-D incompressible Euler equations with smooth solutions. The discretization error is second-order accurate. The method is stable in 1 sub p norm. Consequently the method converges in 1 sub p norm for all time. The convergence is also illustrated by a numerical experiment. Reprints. (jhd)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1990
Accession Number
ADA220540

Entities

People

  • John Lowengrub
  • Jonathan Goodman
  • Thomas Y. Hou

Organizations

  • New York University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Consistency
  • Convergence
  • Differential Equations
  • Equations
  • Euler Equations
  • Inequalities
  • Integrals
  • Navier Stokes Equations
  • Near Field
  • Partial Differential Equations
  • Stratified Fluids
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Aerodynamics.
  • Calculus or Mathematical Analysis
  • Linear Algebra