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Contour dynamics for the Euler equations in two dimensions. (English) Zbl 0405.76014

MSC:
76B47 Vortex flows for incompressible inviscid fluids
65Z05 Applications to the sciences
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[1] Chorin, A.J., Numerical study of slightly viscous flow, J. fluid mech., 57, 785-796, (1973)
[2] Ashurst, W.T., Numerical simulation of turbulent mixing layers via vortex dynamics, () · Zbl 0678.76010
[3] {\scA. I. Shestaxov}, Numerical solution for slightly viscous flow in a cavity, J. Computational Phys., to be published.
[4] Christiansen, J.P.; Zabusky, N.J., Instability coalescence and fission of finite-area vortex structures, J. fluid mech., 61, 219-243, (1973) · Zbl 0266.76039
[5] Berk, H.; Roberts, K.V., The water-bag model, ()
[6] Potter, D., Water-bag methods in magnetohydrodynamics, (), 43-83
[7] Zabusky, N.J., Coherent structures in fluid dynamics, (), 145-206
[8] Lamb, H., Hydrodynamics, (), 232, Sect. 159 · JFM 26.0868.02
[9] {\scA.I. Shestaxov}, [3, Sect. 8.2]. The author describes a procedure for the instantaneous “merging“ of two nearby nondeformable vortex “blobs” if the distance between their centers is less than \(110\) their radius, σ.
[10] Kochin, N.E.; Kibel, I.A.; Roze, N.V., Theoretical hydrodynamics, (1964), Interscience New York · Zbl 0121.20301
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