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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
Full Text: DOI

References:

[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, (Sandia Laboratories Report SAND 77-8613. Sandia Laboratories Report SAND 77-8613, Presented at the Symposium on Turbulent Shear Flows (April 1977), Pennsylvania State University: Pennsylvania State University University Park, Pa) · Zbl 0678.76010
[3] A. I. ShestaxovJ. Computational Phys.; A. I. ShestaxovJ. Computational Phys.
[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, (Alder, B.; Fernbach, S.; Rotenberg, M., Methods of Computational Physics, Vol. 9 (1970), Academic Press: Academic Press New York)
[6] Potter, D., Water-bag methods in magnetohydrodynamics, (Killeen, J., Methods of Computational Physics, Vol. 16 (1976), Academic Press: Academic Press New York), 43-83
[7] Zabusky, N. J., Coherent structures in fluid dynamics, (Proceedings of the Orbis Scientiae on the Significance of Nonlinearity in the Natural Sciences (1977), Plenum: Plenum New York), 145-206
[8] Lamb, H., Hydrodynamics, ((1932), Dover: Dover New York), 232, Sect. 159 · JFM 26.0868.02
[9] \( \textsc{A.I. Shestaxov}110\); \( \textsc{A.I. Shestaxov}110\)
[10] Kochin, N. E.; Kibel, I. A.; Roze, N. V., Theoretical Hydrodynamics (1964), Interscience: Interscience New York · Zbl 0121.20301
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