Abstract
The existence of two-dimensional flows having an isotropic and negative eddy viscosity is demonstrated. Such flows, when subject to a very weak large-scale perturbation of wavenumber k will amplify it with a rate proportional to k 2, independent of the direction.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Dubrulle, B. & Frisch, U. 1991 The eddy-viscosity of parity-invariant flow. Phys. Rev. A 43, 5355–5364.
Gama, S., Frisch, U. & 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, 425–452.
Gama, S. & Vergassola, M. 1993 Slow-down of nonlinearityin 2-D Navier-Stokes flow. In Proc. NATO-AWR “Chaotic Adection, Tracer Dynamics and Turbulent Flow”, ed. A. Provenzale, Physica D (in press).
Gama, S., Vergassola, M. & Frisch, U. 1994 Negative eddy viscosity in isotropically forced two-dimensional flow: linear and nonlinear dynamics. J. Fluid Mech. 260, 95-126.
Frisch, U., Hasslacher, B. & Pomeau, Y. 1986 Lattice gas automata for the Navier-Stokes equation. Phys. Rev. Lett. 56(14), 1505–1508.
Frisch, U., Humières, D., Hasslacher, B., Lallemand, P., Pomeau, Y. & Rivet, J.P. 1987a Lattice gas hydrodynamics in two and three dimensions. Complex Systems 1, 649–707;
Frisch, U., Humières, D., Hasslacher, B., Lallemand, P., Pomeau, Y. & Rivet, J.P. also reproduced in Lattice Gas Methods For Partial Differential Equations. Ed. G. D, Doolen, Addison-Wesley, 77–135, 1990.
Frisch, U., She, Z.S. & Sulem, P.L. 1987b Large-scale flow driven by the anisotropic kinetic alpha effect. Physica D 28, 382–392.
Meshalkin, L.D. & Sinai, Ia.G. 1961 Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid. Appl. Math. Mech. 25, 1700–1705.
Vergassola, M. 1993 Chiral nonlinearities in forced 2-D Navier-Stokes flows. Europhys. Lett. 24, 41–45.
Vergassola, M., Gama, S. & Frisch, U. 1993 Proving the existence of negative isotropic eddy-viscosity. Theory of Solar and Planetary Dynamos, M.R.E. Proctor, P.C. Matthews & A.M. Rucklidge eds., Cambridge University Press, 321–327.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Gama, S., Vergassola, M., Frisch, U. (1995). Two-Dimensional Isotropic Negative Eddy Viscosity: A Common Phenomenon. In: Benzi, R. (eds) Advances in Turbulence V. Fluid Mechanics and Its Applications, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0457-9_29
Download citation
DOI: https://doi.org/10.1007/978-94-011-0457-9_29
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4205-5
Online ISBN: 978-94-011-0457-9
eBook Packages: Springer Book Archive