From micro to macro dynamics via a new closure approximation to the fene model of polymeric fluids

Peng Yu, Qiang Du, Chun Liu

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

We present a new closure approximation needed for deriving effective macroscopic moment equations from the microscopic finite-extensible-nonlinear-elastic kinetic theory modeling viscoelastic polymeric fluids. The closure is based on restricting the otherwise general probability distribution functions (PDFs) to a class of smooth distributions motivated by perturbing the equilibrium PDF. The simplified system coupling the moment equations and the Navier-Stokes equations still possesses ah energy law analogous to the original micro-macro system. Some theoretical analysis and numerical experiments are presented to ensure the validity of the moment-closure system, and to illustrate the excellent agreement of the simplified model with the original system solved using a Monte Carlo approach, for a certain regime of physical parameters.

Original languageEnglish (US)
Pages (from-to)895-917
Number of pages23
JournalMultiscale Modeling and Simulation
Volume3
Issue number4
DOIs
StatePublished - 2005

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Modeling and Simulation
  • Ecological Modeling
  • Physics and Astronomy(all)
  • Computer Science Applications

Fingerprint Dive into the research topics of 'From micro to macro dynamics via a new closure approximation to the fene model of polymeric fluids'. Together they form a unique fingerprint.

Cite this