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

IP.com Disclosure Number: IPCOM000149478D
Original Publication Date: 1982-Dec-31
Included in the Prior Art Database: 2007-Apr-01
Document File: 70 page(s) / 2M

Publishing Venue

Software Patent Institute

Related People

Wu, H.M.: AUTHOR [+4]

Abstract

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REPORT DOCUMENTATION PAGE

1. REPORT NUMBER 12. GOVT ACCESSION NO.

I CMA-82-44 1

  READ INSTRUCTIONS BEFORECOMPLETING FORM
3. RECLPIENT'S CATALOG NUMBER
I.

TYPE OF REPORT 4 PERIOD COVEREO

4. TITLE (and Subclllo)

Steady-State Solutions of the Euler Equations in

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Two ~imensions

: Rotating and ~ransl
ati ng V-state

5 6. PORCORMINO ORO. REPORT MUM(Lf R

with Limiting Cases. I. Numerical A1 gori thms and

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7. AUTnOll(r) a. CONTRACT OR GRANT NUMBCR(4)

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M. Wu, E. A. Overman, II and N. J. Zabusky

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Department of Mathematics

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University of Pittsburgh

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Fl uid Dynamics Program Office of Naval Research Arlinston VA 22217

December 1 987

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The view, opinions, and/or findings contained in this report are those of the author(s) and should not be construeti as an official Department of Defense position, pol icy, or decision, unless so designated by other documentation. Journal of Computational Physics (in Press. 1983).

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Contour dynamics; V-states; Euler equations

I Limitin+g case

R and T V-states

20. AmSTRACT (Conllnuo an nvwoo old. It naaooear rd ddwclfy by bloc* mrSwj

   New second- and third-order algorithms are presented for calculating trans1 atin and rotating steady-state sol utions of the 2D incompressible Euler

' equations 9 which ye call V-states). These are piecewise constant regions of vorticity and the contours bounding them are obtained by solving iteratively a nonl inear integro-differential equation. New 1 imitin contours w i t h corners are obtained and compared with local analytica I-+
so utions. The precise result

correct mistakes for limiting contours that were previously given.

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Technical Report ICMA-82-44

STEADY-STATE SOLUTIONS OF THE EULER EQUATIONS IN


TWO DIMENSIONS: ROTATING AND TRANSLATING V-STATES
WITH LIMITING CASES
I. NUMERICAL ALGORITHMS AND RESULTS
H. M. Wu,* E. A. Overman, 11, and N. J. Zabusky
MAR 2 1983

Institute for Computational Mathematics and Applications
Department of Mathematics...