The algebraic moments of vorticity. Theory and numerical tests
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.pan.pl/index.php/cames/article/view/1483>. Date accessed: 14 nov. 2024.
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This work is licensed under a Creative Commons Attribution 4.0 International License.