Steady-State Solutions of the Euler Equations in Two Dimensions: Rotating and Translating V-States with Limiting Cases. I. Numerical Algorithms and Results,

Abstract

New second- and third-order algorithms are presented for calculating translating and rotating steady-state solutions of the 2D incompressible Euler equations (which we call V-state). These are piecewise constant regions of vorticity and the contours bounding them are obtained by solving iteratively a nonlinear integro-differential equation. New limiting contours with corners are obtained and compared with local analytical solutions. The precise results correct mistakes for limiting contours that were previously given. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1982
Accession Number
ADA126705

Entities

People

  • E. A. Overman Ii
  • Huimeng Wu
  • Norman J. Zabusky

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Command And Control
  • Computational Fluid Dynamics
  • Computational Science
  • Contour Integrals
  • Coordinate Systems
  • Curvature
  • Differential Equations
  • Equations
  • Euler Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Military Research
  • Steady State
  • Two Dimensional
  • Universities

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.