A common approach to the computation of coarse-scale steady states and to consistent initialization on a slow manifold

Christophe Vandekerckhove, Benjamin Sonday, Alexei Makeev, Dirk Roose, Ioannis G. Kevrekidis

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We present a simple technique for the computation of coarse-scale steady states of dynamical systems with time scale separation in the form of a " wrapper" around a fine-scale simulator. We discuss how this approach alleviates certain problems encountered by comparable existing approaches, and illustrate its use by computing coarse-scale steady states of a lattice Boltzmann fine scale code. Interestingly, in the same context of multiple time scale problems, the approach can be slightly modified to provide initial conditions on the slow manifold with prescribed coarse-scale observables. The approach is based on appropriately designed short bursts of the fine-scale simulator whose results are used to track changes in the coarse variables of interest, a core component of the equation-free framework.

Original languageEnglish (US)
Pages (from-to)1949-1958
Number of pages10
JournalComputers and Chemical Engineering
Volume35
Issue number10
DOIs
StatePublished - Oct 13 2011

All Science Journal Classification (ASJC) codes

  • Chemical Engineering(all)
  • Computer Science Applications

Keywords

  • Coarse-graining
  • Initialization
  • Slow manifold
  • Time-stepper

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