Accession Number:

ADA126705

Title:

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

Descriptive Note:

Corporate Author:

PITTSBURGH UNIV PA INST FOR COMPUTATIONAL MATHEMATICS AND APPLICATIONS

Report Date:

1982-12-01

Pagination or Media Count:

65.0

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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE