Numerically derived scalings for the complex Ginzburg-Landau equation
Numerically derived scalings for the complex Ginzburg-Landau equation
We describe some new numerical results concerning the scaling of norms on the turbulent attractor of the quintic complex Ginzburg-Landau equation, ut = (1 + i?)uxx + Ru ? (1 + i?)u|u|4, posed on the one-dimensional interval [0, 1] with periodic boundary conditions. The evidence suggests that the real R ? ? asymptotic growth rates of some norms are lower than available analytical estimates.
complex ginzburg-landau equation, turbulence, scalings, ladder estimates, numerical simulation
329-343
Wilson, R. Eddie
01d7f1f2-f8ee-4661-b713-dcefcddb89bd
February 1998
Wilson, R. Eddie
01d7f1f2-f8ee-4661-b713-dcefcddb89bd
Abstract
We describe some new numerical results concerning the scaling of norms on the turbulent attractor of the quintic complex Ginzburg-Landau equation, ut = (1 + i?)uxx + Ru ? (1 + i?)u|u|4, posed on the one-dimensional interval [0, 1] with periodic boundary conditions. The evidence suggests that the real R ? ? asymptotic growth rates of some norms are lower than available analytical estimates.
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Published date: February 1998
Keywords:
complex ginzburg-landau equation, turbulence, scalings, ladder estimates, numerical simulation
Organisations:
Civil Engineering & the Environment
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Local EPrints ID: 184275
URI: http://eprints.soton.ac.uk/id/eprint/184275
ISSN: 0167-2789
PURE UUID: 444abd6c-b94a-43ff-8cf5-74cddb3b4323
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Date deposited: 07 Jun 2011 09:09
Last modified: 14 Mar 2024 03:07
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Author:
R. Eddie Wilson
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