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A Semi-Implicit Scheme for Stationary Statistical Properties of the Infinite Prandtl Number Model
Authors
Wenfang Cheng
Xiaoming Wang
Publication date
1 January 2008
Publisher
Scholars\u27 Mine
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
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Last time updated on 30/10/2017
Missouri University of Science and Technology (Missouri S&T): Scholars' Mine
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Last time updated on 29/03/2023