Stochastic models of polymeric fluids at small Deborah number

T. Li, Eric Vanden Eijnden, P. Zhang, W. E

Research output: Contribution to journalArticle

Abstract

Stochastic models are considered as a numerical tool for simulating the dynamic behavior of polymeric fluids. At small Deborah number, straightforward numerical integration of these models is both costly because of the separation of time scales and inaccurate because of the large numerical fluctuation. A new technique, motivated by the recently developed heterogeneous multi-scale method (HMM), is introduced to overcome these problems.

Original languageEnglish (US)
Pages (from-to)117-125
Number of pages9
JournalJournal of Non-Newtonian Fluid Mechanics
Volume121
Issue number2-3
DOIs
StatePublished - Aug 20 2004

Fingerprint

Stochastic models
Stochastic Model
Fluid
Multiscale Methods
Fluids
fluids
Inaccurate
numerical integration
Numerical integration
Dynamic Behavior
Time Scales
Fluctuations
Model

Keywords

  • Brownian configuration fields (BCF)
  • Dumbbell model
  • Heterogeneous multi-scale method (HMM)
  • Stochastic multi-scale decomposition

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

Cite this

Stochastic models of polymeric fluids at small Deborah number. / Li, T.; Vanden Eijnden, Eric; Zhang, P.; E, W.

In: Journal of Non-Newtonian Fluid Mechanics, Vol. 121, No. 2-3, 20.08.2004, p. 117-125.

Research output: Contribution to journalArticle

@article{a4fe17a09a854568839ff3bd98db67a5,
title = "Stochastic models of polymeric fluids at small Deborah number",
abstract = "Stochastic models are considered as a numerical tool for simulating the dynamic behavior of polymeric fluids. At small Deborah number, straightforward numerical integration of these models is both costly because of the separation of time scales and inaccurate because of the large numerical fluctuation. A new technique, motivated by the recently developed heterogeneous multi-scale method (HMM), is introduced to overcome these problems.",
keywords = "Brownian configuration fields (BCF), Dumbbell model, Heterogeneous multi-scale method (HMM), Stochastic multi-scale decomposition",
author = "T. Li and {Vanden Eijnden}, Eric and P. Zhang and W. E",
year = "2004",
month = "8",
day = "20",
doi = "10.1016/j.jnnfm.2004.05.003",
language = "English (US)",
volume = "121",
pages = "117--125",
journal = "Journal of Non-Newtonian Fluid Mechanics",
issn = "0377-0257",
publisher = "Elsevier",
number = "2-3",

}

TY - JOUR

T1 - Stochastic models of polymeric fluids at small Deborah number

AU - Li, T.

AU - Vanden Eijnden, Eric

AU - Zhang, P.

AU - E, W.

PY - 2004/8/20

Y1 - 2004/8/20

N2 - Stochastic models are considered as a numerical tool for simulating the dynamic behavior of polymeric fluids. At small Deborah number, straightforward numerical integration of these models is both costly because of the separation of time scales and inaccurate because of the large numerical fluctuation. A new technique, motivated by the recently developed heterogeneous multi-scale method (HMM), is introduced to overcome these problems.

AB - Stochastic models are considered as a numerical tool for simulating the dynamic behavior of polymeric fluids. At small Deborah number, straightforward numerical integration of these models is both costly because of the separation of time scales and inaccurate because of the large numerical fluctuation. A new technique, motivated by the recently developed heterogeneous multi-scale method (HMM), is introduced to overcome these problems.

KW - Brownian configuration fields (BCF)

KW - Dumbbell model

KW - Heterogeneous multi-scale method (HMM)

KW - Stochastic multi-scale decomposition

UR - http://www.scopus.com/inward/record.url?scp=4243180535&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243180535&partnerID=8YFLogxK

U2 - 10.1016/j.jnnfm.2004.05.003

DO - 10.1016/j.jnnfm.2004.05.003

M3 - Article

VL - 121

SP - 117

EP - 125

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

SN - 0377-0257

IS - 2-3

ER -