Abstract
We propose a semisecret in time semi-implicit numerical scheme for the infinite Prandtl model for convection. Besides the usual finite time convergence, this scheme enjoys the additional highly desirable feature that the stationary statistical properties of the scheme converge to those of the infinite Prandtl number model at vanishing time stop. One of the key characteristics of the scheme is that it preserves the dissipativity of the infinite Prandtl number model uniformly in terms of the time stop. So far as wo know, this is the first rigorous result on convergence of stationary statistical properties of numerical schemes for infinite dimensional dissipative complex systems. © 2008 Society for Industrial and Applied Mathematics.
Recommended Citation
W. Cheng and X. Wang, "A Semi-Implicit Scheme for Stationary Statistical Properties of the Infinite Prandtl Number Model," SIAM Journal on Numerical Analysis, vol. 47, no. 1, pp. 250 - 270, Society for Industrial and Applied Mathematics, Dec 2008.
The definitive version is available at https://doi.org/10.1137/080713501
Department(s)
Mathematics and Statistics
Keywords and Phrases
Infinite Prandtl Number Model; Nusselt Number; Stationary Statistical Property; Uniformly Dissipativo Scheme
International Standard Serial Number (ISSN)
0036-1429
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2023 Society for Industrial and Applied Mathematics, All rights reserved.
Publication Date
01 Dec 2008
