A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model

DOI10.1016/j.aml.2007.07.036zbMath1183.65110OpenAlexW1980394276MaRDI QIDQ847388

Wenfang (Wendy) Cheng, Xiaoming Wang

Publication date: 12 February 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.07.036

zbMATH Keywords

convergenceconvectionBoussinesq systemsemi-discretizationchaotic systemsdissipative schemeinfinite dimensional dissipative complex systemsPrandtl number modelstationary statistical properties

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

Approximation of stationary statistical properties of the three dimensional autonomous planetary geostrophic equations of large-scale ocean circulation, Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization, Long time \(\mathcal{H}_\alpha^s\) stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity, WELL-POSEDNESS OF THE INFINITE PRANDTL NUMBER MODEL FOR CONVECTION WITH TEMPERATURE-DEPENDENT VISCOSITY, APPROXIMATION OF THE STATIONARY STATISTICAL PROPERTIES OF THE DYNAMICAL SYSTEM GENERATED BY THE TWO-DIMENSIONAL RAYLEIGH–BÉNARD CONVECTION PROBLEM, An efficient and accurate numerical scheme for long time statistical properties of the infinite Prandtl number model for convection, Approximation of stationary statistical properties of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics, Approximating stationary statistical properties, Numerical algorithms for stationary statistical properties of dissipative dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinite Prandtl number convection
• Infinite-dimensional dynamical systems in mechanics and physics.
• Infinite Prandtl number limit of Rayleigh-Bénard convection
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time
• Mathematical Problems of Statistical Hydromechanics
• Heat transfer in convective turbulence
• Recent Developments in Rayleigh-Bénard Convection
• On the Convergence of a Time Discretization Scheme for the Navier-Stokes Equations
• Long time stability and convergence for fully discrete nonlinear galerkin methods
• On the global stability of a temporal discretization scheme for the Navier-Stokes equations
• Asymptotic behavior of the global attractors to the Boussinesq system for Rayleigh‐Bénard convection at large Prandtl number
• On the Long-Time Stability of the Implicit Euler Scheme for the Two-Dimensional Navier--Stokes Equations
• Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh–Bénard convection