On the numerical construction of an attractor for the Navier-Stokes system
Journal Article
·
· Journal of Mathematical Sciences
In this paper the problem of the numerical approximation of the minimal global B-attractor M for a semiflow generated by the Navier-Stokes equations in a two-dimensional bounded domain {Omega} is considered. The method suggested here is based on the formula M = lim G{sup N}, where G{sup N} is a sequence of compact subsets of L{sub 2} ({Omega}), N{yields}{infinity} G{sup N} {contains} M. The procedure of constructing G{sup N} is finite and includes the numerical solution of the Navier-Stokes equations by means of the Galerkin method, together with an explicit finite-difference discretization in time.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 210025
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 3 Vol. 77; ISSN 1072-1964; ISSN JMTSEW
- Country of Publication:
- United States
- Language:
- English
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