Geodesic
Direct simulation of interacting vortex pairs
Matematičeskoe modelirovanie, Tome 23 (2011) no. 11, pp. 21-32

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The coupled problem of dynamics and acoustics of two interacting vortex pairs is studied numerically for a range of Reynolds numbers, Re=5000–10000. The computations are performed on a Eulerian grid with the CABARET method. Two main integral characteristics of the vortex system, such as the period of vortex sleep through and the velocity of their centre of mass, as obtained from the computational solution, are compared with the analytical potential theory solution available for point vortices. Numerical grid sensitivity study is performed both for the hydrodynamic near-field and acoustic far-field solutions obtained.
Keywords: fluid dynamics, acoustics, high-resolution computational methods
Mots-clés : vortex interaction, CABARET scheme. 
@article{MM_2011_23_11_a2,
     author = {P. G. Yakovlev and S. A. Karabasov and V. M. Goloviznin},
     title = {Direct simulation of interacting vortex pairs},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {21--32},
     publisher = {mathdoc},
     volume = {23},
     number = {11},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_11_a2/}
}
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P. G. Yakovlev; S. A. Karabasov; V. M. Goloviznin. Direct simulation of interacting vortex pairs. Matematičeskoe modelirovanie, Tome 23 (2011) no. 11, pp. 21-32. http://geodesic.mathdoc.fr/item/MM_2011_23_11_a2/