Shell models of energy cascade in turbulence
L Biferale - Annual review of fluid mechanics, 2003 - annualreviews.org
… and numerical results obtained inthe realm of shell models for the energy-turbulent cascade…
Finally, we also briefly review the analytical difficulties, and hopes, of calculating anomalous …
Finally, we also briefly review the analytical difficulties, and hopes, of calculating anomalous …
Improved shell model of turbulence
… in shell models stemmed from our efforts to develop analytic … this type of model independent
of the analytic calculability of … model per se, discuss its good properties, display the results of …
of the analytic calculability of … model per se, discuss its good properties, display the results of …
Continuous representation for shell models of turbulence
AA Mailybaev - Nonlinearity, 2015 - iopscience.iop.org
… models resolve the problem of representing the shell model … This allows interpreting
various results for shell models by … Lyapunov analysis in fully developed model of turbulence …
various results for shell models by … Lyapunov analysis in fully developed model of turbulence …
A shell model for anisotropic magnetohydrodynamic turbulence
… analysis … shell model has provided some interesting results which we will now summarize.
The main effect produced by the presence of a mean magnetic field B, in MHD turbulence is to …
The main effect produced by the presence of a mean magnetic field B, in MHD turbulence is to …
Transition to chaos in a shell model of turbulence
L Biferale, A Lambert, R Lima, G Paladin - Physica D: Nonlinear …, 1995 - Elsevier
… In Section 4 we present our numerical results on the transition … GOY model which allows us
to perform a detailed analysis of … Results for the model with 19 shells have been obtained by …
to perform a detailed analysis of … Results for the model with 19 shells have been obtained by …
Scaling and dissipation in the GOY shell model
… of the numerical results and the analytical expression (25) for … between the shell model and
the theory of real turbulence. In … Thus in order to perform a similar analysis on the shell model…
the theory of real turbulence. In … Thus in order to perform a similar analysis on the shell model…
Statistical theory of magnetohydrodynamic turbulence: recent results
MK Verma - Physics Reports, 2004 - Elsevier
… we have shell-to-shell energy transfers in MHD turbulence. … renormalization-group analysis
of MHD turbulence, with an … and shell-to-shell energy transfers in MHD turbulence using …
of MHD turbulence, with an … and shell-to-shell energy transfers in MHD turbulence using …
Intermittency in turbulence: Computing the scaling exponents in shell models
… shell models of passive scalars. There, we present a rederivation in the framework of stochastic
closure of an exact result … This is rather disappointing because we start all our analysis …
closure of an exact result … This is rather disappointing because we start all our analysis …
Further results on multifractality in shell models
D Pisarenko, L Biferale, D Courvoisier… - Physics of Fluids A …, 1993 - pubs.aip.org
… “shell model” of fully developed turbulence, thereby allowing the … Recently an analytic method
giving c&, for the GOY model has … For all energy-conserving shell models there is an anal…
giving c&, for the GOY model has … For all energy-conserving shell models there is an anal…
Anomalous scaling in shell model turbulence
J Creswell, V Mukhanov, Y Oz - arXiv preprint arXiv:2402.07813, 2024 - arxiv.org
… a precision analysis of shell model of a complex velocity field in the steady state turbulent
regime, … In order to determine this range we use the analytical result for the third moment ζ3 = 1 …
regime, … In order to determine this range we use the analytical result for the third moment ζ3 = 1 …