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Simulating 2D Flows with Viscous Vortex Dynamics (2000)

Bene, J. ; Bröcheler, S. ; Lustfeld, H.

Springer

Journal of statistical physics 101 (2000), S. 567-577

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ISSN: 1572-9613

Keywords: hydrodynamics ; Navier–Stokes equation ; turbulence ; Lamb vortex

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract Approximate solutions of the two-dimensional Navier–Stokes equation can be constructed as a superposition of viscous Lamb vortices. Requiring minimum deviation from the Navier–Stokes equation, one gets a set of ordinary differential equations for the positions, strength and width of the vortices. We calculate the deviation of the solution from the Navier–Stokes equation in the square norm. The time dependence of this error is determined and discussed.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1026483521802

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