Abstract
The two-dimensional Navier-Stokes equations with a large scale instability of the KuramotoSivashinsky type, describing marginally negative eddy-viscosity situations, is simulated on a Connection Machine CM-2. Up to millions of time steps at the resolution 2562 and tens of thousands at the resolution 10242 are performed. A linear growth phase, a disorganized inverse cascade phase and a structured vortical phase are successively observed. In the vortical phase monopolar and multipolar structures are proliferating and display strongly depleted nonlinearities.
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References
Dubrulie, B., and Frisch, U.: 1991, ‘The eddy-viscosity of parity-invariant flow’, Phys. Rev. A 43, pp. 5355–5364.
Legras, B., Santangelo, P., and Benzi, R.: 1988, ‘High resolution numerical experiments for forced two-dimensional turbulence’, Europhys. Lett., 5, pp. 37–42.
Gama, S., Frisch, U., and Scholl, H.: 1991, ’The two-dimensional Navier-Stokes equations with a large- scale instability of the Kuramoto-Sivashinsky type: numerical exploration on the Connection Machine’, J. Sci. Comp., 6, pp. 425–452.
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© 1993 Springer Science+Business Media Dordrecht
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Gama, S., Frisch, U. (1993). Simulations of Two-Dimensional Turbulence on the Connection Machine. In: Nieuwstadt, F.T.M. (eds) Advances in Turbulence IV. Fluid Mechanics and its Applications, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1689-3_18
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DOI: https://doi.org/10.1007/978-94-011-1689-3_18
Publisher Name: Springer, Dordrecht
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