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Dynamical aspects of vortex reconnection of perturbed anti-parallel vortex tubes. (English) Zbl 0781.76028
The authors analyse numerically the phenomenon of vortex reconnection. For Reynolds number Re non exceeding 1500, calculations are performed using a uniform mesh while a stretched mesh is taken for calculations in the range $$1500<\text{Re}\leq 3500$$. The results are compared with predictions of a recent model [P. G. Saffman, J. Fluid Mech. 212, 395-402 (1990; Zbl 0692.76016)]. Points of agreement and disagreement are stated and explanations are provided for the points of disagreement.
Reviewer: Y.N.Gaur (Jaipur)

##### MSC:
 76D99 Incompressible viscous fluids 76D05 Navier-Stokes equations for incompressible viscous fluids 76M25 Other numerical methods (fluid mechanics) (MSC2010) 65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
##### Keywords:
uniform mesh; stretched mesh
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##### References:
 [1] Melander, J. Fluid Mech. 178 pp 137– (1987) [2] DOI: 10.1063/1.857437 [3] Melander, CTR Rep. 200 pp 257– (1988) [4] DOI: 10.1007/BF01208714 · Zbl 0494.76024 [5] Buntine, J. Fluid Mech. 205 pp 1632– (1989) [6] Brachet, J. Fluid Mech. 130 pp 411– (1983) [7] DOI: 10.1063/1.858329 · Zbl 0825.76662 [8] Batchelor, Commun. Math. Phys. 94 pp 61– (1967) [9] DOI: 10.1063/1.866226 · Zbl 0628.76033 [10] DOI: 10.1103/PhysRevLett.58.1632 [11] DOI: 10.1063/1.865047 · Zbl 0596.76025 [12] DOI: 10.1063/1.866513 [13] Anderson, Commun. Pure Appl. Maths 42 pp 1123– (1989) [14] Saffman, J. Fluid Mech. 212 pp 395– (1990) [15] DOI: 10.1063/1.857824 · Zbl 0696.76070 [16] Lundgren, J. Fluid Mech. 200 pp 283– (1988) [17] DOI: 10.1143/JPSJ.60.2184 [18] Kerr, Physica 37 pp 474– (1989) [19] DOI: 10.1143/JPSJ.52.834 [20] DOI: 10.1103/PhysRevLett.67.3511 [21] DOI: 10.1063/1.861169 [22] Crow, AIAA J 8 pp 2172– (1970) [23] DOI: 10.1103/PhysRevLett.58.1636 [24] DOI: 10.1143/JPSJ.42.708 [25] DOI: 10.1103/PhysRevLett.44.572 [26] Moore, Phil. Trans. R. Soc. Lond. 272 pp 403– (1972) [27] Melander, Physica 37 pp 555– (1989)
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