Nonlinear dynamics of laminar-turbulent transition in three dimensional Rayleigh-Bénard convection

DOI10.1016/j.cnsns.2009.10.022zbMath1222.76046OpenAlexW2075809770MaRDI QIDQ720200

N. M. Evstigneev, S. V. Sidorov, N. A. Magnitskiĭ

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.10.022

zbMATH Keywords

turbulencedynamical chaosRayleigh--Bénard convectionFSM-theorysingular attractors

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Convection in hydrodynamic stability (76E06) Transition to turbulence (76F06)

Related Items (5)

Energy-stable finite element method for a class of nonlinear fourth-order parabolic equations ⋮ A second-order exponential time differencing multi-step energy stable scheme for Swift-Hohenberg equation with quadratic-cubic nonlinear term ⋮ Qualitative analysis of dynamics in Kolmogorov's problem on a flow of a viscous incompressible fluid ⋮ A new space-time discretization for the Swift-Hohenberg equation that strictly respects the Lyapunov functional ⋮ Unconditionally energy stable DG schemes for the Swift-Hohenberg equation

Uses Software

• CUDA

Cites Work

• On the nature of turbulence in a problem on the motion of a fluid behind a ledge
• Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation
• Different modes of Rayleigh-Bénard instability in two- and three-dimensional rectangular enclosures
• On the transition to diffusion chaos through a subharmonic cascade of bifurcations of two-dimensional tori: numerical analysis
• Universal theory of dynamical chaos in nonlinear dissipative systems of differential equations
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