Coupled map lattice model for convection

Correlation Length in the Rayleigh–Bénard Convection

“…22) In this work, a coupled map lattice model, called Yanagita-Kaneko (YK) model, is used for the simulation. 23,24) One of its advantages is that the calculation time is so short that many ensembles can be obtained. In addition, the transition from the soft turbulence to the hard turbulence was reproduced by Yanagita and Kaneko using this model.…”

“…The details of the YK model are available in other literature. 16,17,23,24) The two-time correlation function of the momentum flux is expressed as…”

Real-time Simulation of Dynamic Clouds Based On Cellular Automata

“…In the literatures [9,10,11], the cloud was also generated by cellular automata. In the literatures [12,13,14], a Coupled Map Lattice generated from cellular automata was used to produce dynamic cloud. In physical methods, Partial Differential Equations (PDEs) was used to provide ray tracing algorithm with required cloud data by Kajiya et al, [15].…”

Simple Quantitative Analysis of Spatio-Temporal Diagrams for Domain Wall Dynamics

“…A number of works in this field was devoted to the dynamics of the systems which can be described by simple coupled maps [2][3][4]. A spatio-temporal diagram technique was also applied successfully to the examinations of collective phenomena such as thermal convection [5,6], boiling of liquids [7] or neuron systems [8]. In this approach quantifiers characterizing diagrams such as pattern entropy or Lyapunow exponents, were introduced in order to give the synthetic information about the dynamics of the system [1,3,9].…”