Energy-conserving truncations for convection with shear flow

DOI10.1063/1.868956zbMath1027.76625arXivchao-dyn/9603019OpenAlexW3099509334WikidataQ59426029 ScholiaQ59426029MaRDI QIDQ4426440

Jean-Luc Thiffeault, W. jun. Horton

Publication date: 9 January 2004

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9603019

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Free convection (76R10)

Related Items

A kernel principal component analysis of coexisting attractors within a generalized Lorenz model ⋮ Energy-conserving low-order models for three-dimensional Rayleigh-Bénard convection ⋮ Transport bounds for a truncated model of Rayleigh-Bénard convection ⋮ Effective low-order models for atmospheric dynamics and time series analysis ⋮ Küppers-Lortz instability in rotating Rayleigh-Bénard convection bounded by rigid/free isothermal boundaries ⋮ Quasi-Periodic Orbits in the Five-Dimensional Nondissipative Lorenz Model: The Role of the Extended Nonlinear Feedback Loop ⋮ Minimal chaotic models from the Volterra gyrostat ⋮ Symmetry justification of Lorenz' maximum simplification ⋮ Nambu representation of an extended Lorenz model with viscous heating ⋮ On the relation between energy conserving low-order models and Hamiltonian systems ⋮ Minimal atmospheric finite-mode models preserving symmetry and generalized Hamiltonian structures ⋮ Exploring atmospheric convection with physically sound nonlinear low-order models ⋮ A recurrence analysis of chaotic and non-chaotic solutions within a generalized nine-dimensional Lorenz model ⋮ The structure of energy conserving low-order models ⋮ Sheared salt fingers: Instability in a truncated system ⋮ Homoclinic Orbits and Solitary Waves within the Nondissipative Lorenz Model and KdV Equation ⋮ Aggregated Negative Feedback in a Generalized Lorenz Model ⋮ Generalized Lorenz models and their routes to chaos. I: Energy-conserving vertical mode truncations ⋮ Generalized Lorenz models and their routes to chaos. III: Energy-conserving horizontal and vertical mode truncations ⋮ On the relation between energy-conserving low-order models and a system of coupled generalized Volterra gyrostats with nonlinear feedback ⋮ Generalized Lorenz models and their routes to chaos. II: Energy-conserving horizontal mode truncations ⋮ On the structure of the energy conserving low-order models and their relation to Volterra gyrostat ⋮ Maximal transport in the Lorenz equations ⋮ HIGH-DIMENSIONAL CHAOS IN DISSIPATIVE AND DRIVEN DYNAMICAL SYSTEMS ⋮ Heat transport bounds for a truncated model of Rayleigh-Bénard convection via polynomial optimization

Cites Work

• Energy conserving Galerkin approximations for 2-D hydrodynamic and MHD Bénard convection
• Asymptotic analysis of the Navier-Stokes equations
• A generalized Lorenz system
• Order and disorder in two- and three-dimensional Bénard convection
• Hamiltonian formulation of reduced magnetohydrodynamics
• Large-scale flow in turbulent convection: a mathematical model
• Analysis of the shearing instability in nonlinear convection and magnetoconvection
• Deterministic Nonperiodic Flow
• Large-scale flows and resonances in 2-D thermal convection
• Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations