The algebraic moments of vorticity. Theory and numerical tests

  • Robert Bresiński Warsaw University of Technology
  • Andrzej Styczek Warsaw University of Technology

Abstract

The paper presents the method of algebraic vorticity moments. It may be used to solve problems of viscous liquid motion in 2-D and 3-D cases. Its essence lies in the integration of a set of ordinary differentia equations. The unknown functions of those equations defined as , wxmyndxdy allow to find the vorticity field and next the velocity. We also show a number of 2-D numerical examples.

Keywords

References

[1] M.V. Melander, A. Styczek, N.J. Zabusky. Elliptically desingularized vortex model for the two-dimensional Euler equations. Physical Review Letters. 53: 1222-1225, 1984.
[2] M.V. Melander, A. Styczek, N.J. Zabusky. A moment model for vortex interactions of the two-dimensional Euler equation. Part l. Computational validation of a Hamiltonian elliptical representation. Journal of Fluid Mechanics 167: 95-115, 1986.
[3] A. Styczek, N.J. Zabusky. The evolution of a plane, viscous vortex field. Archives of Mechanics 41: 343-350, 1989.
[4] H. Bateman. Higher Transcendental Functions. McGraw-Hill, New York, 1953.
[5] D.S. Mitronovic. Elementary Inequalities, PWN, Warsaw, 1972 (in Polish)
Published
Jul 18, 2023
How to Cite
BRESIŃSKI, Robert; STYCZEK, Andrzej. The algebraic moments of vorticity. Theory and numerical tests. Computer Assisted Methods in Engineering and Science, [S.l.], v. 2, n. 2, p. 149-160, july 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1483>. Date accessed: 23 nov. 2024.
Citation Formats
Issue
Vol 2 No 2 (1995)
Section
Articles
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