APPROXIMATION OF THE STATIONARY STATISTICAL PROPERTIES OF THE DYNAMICAL SYSTEM GENERATED BY THE TWO-DIMENSIONAL RAYLEIGH-BENARD CONVECTION PROBLEM

作者：Tone Florentina^*; Wang Xiaoming

来源：Analysis and Applications, 2011, 9(4): 421-446.

DOI：10.1142/S0219530511001935

• Rayleigh-Benard convection problem
• discrete Gronwall lemmas
• semi-implicit Euler scheme
• global attractor
• stationary statistical properties

In this article, we consider a temporal linear semi-implicit approximation of the two-dimensional Rayleigh-Benard 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-Benard problem as the time step approaches zero.

• 出版日期2011-10