Systematic comparison between the generalized Lorenz equations and DNS in the two-dimensional Rayleigh–Bénard convection

DOI10.1063/5.0051482zbMath1471.35028arXiv2109.04187OpenAlexW3177638668MaRDI QIDQ5011742

Jaemyeong Mango Seo, Sungju Moon, Jong-Jin Baik, Junho Park

Publication date: 27 August 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.04187

zbMATH Keywords

limit tori, generalized expansion of the Lorenz equations, consideration of higher-order harmonics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations in context of PDEs (35B32)

Related Items (1)

Time averages and periodic attractors at high Rayleigh number for Lorenz-like models

Uses Software

• Differentiation Matrix Suite

Cites Work

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• The Lorenz attractor exists
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• Periodicity and Chaos of High-Order Lorenz Systems
• Deterministic Nonperiodic Flow
• Turbulence statistics in fully developed channel flow at low Reynolds number
• BIFURCATION ANALYSIS OF THE FLOW PATTERNS IN TWO-DIMENSIONAL RAYLEIGH–BÉNARD CONVECTION
• A physically extended Lorenz system
• Instabilities and transient growth of the stratified Taylor–Couette flow in a Rayleigh-unstable regime

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