scholarly journals Chaotic and regular instantons in helical shell models of turbulence

2017 ◽  
Vol 2 (3) ◽  
Author(s):  
Massimo De Pietro ◽  
Alexei A. Mailybaev ◽  
Luca Biferale
Keyword(s):  
Shell Models ◽  
Shell Models Of Turbulence

scholarly journals Exact periodic solutions of shell models of turbulence

Nonlinearity ◽  
2007 ◽  
Vol 20 (10) ◽  
pp. 2333-2352
Author(s):  
Poul Olesen ◽  
Mogens H Jensen
Keyword(s):  
Periodic Solutions ◽  
Shell Models ◽  
Shell Models Of Turbulence

scholarly journals Generation of equations for shell models of turbulence in the Maple system

2021 ◽  
Vol 254 ◽  
pp. 02006
Author(s):  
Liubov Feshchenko ◽  
Gleb Vodinchar
Keyword(s):  
Computer Algebra ◽  
Power Law ◽  
Computer Algebra System ◽  
Nonlinear Interactions ◽  
Systems Of Equations ◽  
Shell Models ◽  
Quadratic Invariants ◽  
Automated Compilation ◽  
Shell Models Of Turbulence

The paper describes a technology for the automated compilation of equations for shell models of turbulence in the computer algebra system Maple. A general form of equations for the coefficients of nonlinear interactions is given, which will ensure that the required combination of quadratic invariants and power-law solutions is fulfilled in the model. Described the codes for the Maple system allowing to generate and solve systems of equations for the coefficients. The proposed technology allows you to quickly and accurately generate classes of shell models with the desired properties.

A Two-Fluid Picture of Intermittency in Shell-Models of Turbulence

1998 ◽  
pp. 219-222 ◽  
Author(s):  
J. L. Gilson ◽  
I. Daumont ◽  
T. Dombre
Keyword(s):  
Shell Models ◽  
Shell Models Of Turbulence ◽  
Two Fluid

scholarly journals Application of computer algebra for the construction of shell models of turbulence

2019 ◽  
Vol 127 ◽  
pp. 02004
Author(s):  
Liubov Feshchenko ◽  
Gleb Vodinchar
Keyword(s):  
Conservation Laws ◽  
Computer Algebra ◽  
Nonlinear Interaction ◽  
Stationary Solutions ◽  
Symbolic Calculation ◽  
Shell Models ◽  
Model Equations ◽  
Shell Models Of Turbulence

The technique for automatic constructing of shell models of turbulence has been developed. The compilation of a model equations and its exactly solution is implemented using computer algebra (symbolic calculation) systems. The technique allows one to vary the scaling nonlocality of nonlinear interaction, form of expressions for conservation laws in models, and the form of stationary solutions with power distributions to scales.

scholarly journals Continuous representation for shell models of turbulence

Nonlinearity ◽  
2015 ◽  
Vol 28 (7) ◽  
pp. 2497-2514 ◽  
Author(s):  
Alexei A Mailybaev
Keyword(s):  
Continuous Representation ◽  
Shell Models ◽  
Shell Models Of Turbulence

scholarly journals Regularity of inviscid shell models of turbulence

2007 ◽  
Vol 75 (1) ◽  
Author(s):  
Peter Constantin ◽  
Boris Levant ◽  
Edriss S. Titi
Keyword(s):  
Shell Models ◽  
Shell Models Of Turbulence

Universal Scaling Exponents in Shell Models of Turbulence: Viscous Effects Are Finite-Sized Corrections to Scaling

1998 ◽  
Vol 81 (4) ◽  
pp. 802-805 ◽  
Author(s):  
Victor S. L'vov ◽  
Itamar Procaccia ◽  
Damien Vandembroucq
Keyword(s):  
Viscous Effects ◽  
Corrections To Scaling ◽  
Scaling Exponents ◽  
Universal Scaling ◽  
Shell Models ◽  
Shell Models Of Turbulence

scholarly journals A lattice Boltzmann study of non-hydrodynamic effects in shell models of turbulence

2004 ◽  
Vol 197 (3-4) ◽  
pp. 303-312 ◽  
Author(s):  
R. Benzi ◽  
L. Biferale ◽  
M. Sbragaglia ◽  
S. Succi ◽  
F. Toschi
Keyword(s):  
Lattice Boltzmann ◽  
Shell Models ◽  
Hydrodynamic Effects ◽  
Shell Models Of Turbulence

Parametrical study of aero-optical effects using shell models of turbulence

2022 ◽  
Author(s):  
Albina Tropina ◽  
Richard B. Miles
Keyword(s):  
Shell Models ◽  
Optical Effects ◽  
Shell Models Of Turbulence

scholarly journals Statistical properties of nonlinear shell models of turbulence from linear advection models: rigorous results

Nonlinearity ◽  
2007 ◽  
Vol 20 (6) ◽  
pp. 1431-1441 ◽  
Author(s):  
Roberto Benzi ◽  
Boris Levant ◽  
Itamar Procaccia ◽  
Edriss S Titi
Keyword(s):  
Statistical Properties ◽  
Rigorous Results ◽  
Shell Models ◽  
Nonlinear Shell ◽  
Shell Models Of Turbulence
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