Approximation of the Stationary Statistical Properties of the Dynamical System Generated by the Two-Dimensional Rayleigh-Bénard Convection Problem

Author

Florentina Tone
Xiaoming Wang, Missouri University of Science and TechnologyFollow

Abstract

In this article, we consider a temporal linear semi-implicit approximation of the two-dimensional Rayleigh-Bénard convection problem. We prove that the stationary statistical properties as well as the global attractors of this linear semi-implicit scheme converge to those of the 2D Rayleigh-Bénard problem as the time step approaches zero. © 2011 World Scientific Publishing Company.

Recommended Citation

F. Tone and X. Wang, "Approximation of the Stationary Statistical Properties of the Dynamical System Generated by the Two-Dimensional Rayleigh-Bénard Convection Problem," Analysis and Applications, vol. 9, no. 4, pp. 421 - 446, World Scientific Publishing, Oct 2011.

The definitive version is available at https://doi.org/10.1142/S0219530511001935

Department(s)

Mathematics and Statistics

Comments

National Science Foundation, Grant 1008852

Keywords and Phrases

Discrete Gronwall Lemmas; Global Attractor; Rayleigh-Bénard Convection Problem; Semi-Implicit Euler Scheme; Stationary Statistical Properties

International Standard Serial Number (ISSN)

1793-6861; 0219-5305

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 World Scientific Publishing, All rights reserved.

Publication Date

01 Oct 2011