Stochastic models of polymeric fluids at small Deborah number

T. Li; E. Vanden-Eijnden; P. Zhang; W. E

doi:10.1016/j.jnnfm.2004.05.003

Stochastic models of polymeric fluids at small Deborah number

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

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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 language	English (US)
Pages (from-to)	117-125
Number of pages	9
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	121
Issue number	2-3
DOIs	https://doi.org/10.1016/j.jnnfm.2004.05.003
State	Published - Aug 20 2004

All Science Journal Classification (ASJC) codes

General Chemical Engineering
General Materials Science
Condensed Matter Physics
Mechanical Engineering
Applied Mathematics

Keywords

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

Access to Document

10.1016/j.jnnfm.2004.05.003

Cite this

@article{b95845f44a5e49159009f117cd6bbcf8,

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 E. Vanden-Eijnden and P. Zhang and W. E",

note = "Funding Information: We thank Yannis Kevrekidis for pointing out to us some of the references on BCF. E.V.-E. is partially supported by NSF grant DMS02-09959 and by Association of Members of the Institute for Advanced Study (AMIAS). W.E. is partially supported by ONR grant N00014-01-1-0674 and National Science Foundation of China Class B Grant for Distinguished Young Scholars 10128102. P.Z. is partially supported by the special funds for Major State Research Projects G1999032804 and the Teaching and Research Award for outstanding young teachers from the Chinese MOE. ",

year = "2004",

month = aug,

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 B.V.",

number = "2-3",

}

TY - JOUR

T1 - Stochastic models of polymeric fluids at small Deborah number

AU - Li, T.

AU - Vanden-Eijnden, E.

AU - Zhang, P.

AU - E, W.

N1 - Funding Information: We thank Yannis Kevrekidis for pointing out to us some of the references on BCF. E.V.-E. is partially supported by NSF grant DMS02-09959 and by Association of Members of the Institute for Advanced Study (AMIAS). W.E. is partially supported by ONR grant N00014-01-1-0674 and National Science Foundation of China Class B Grant for Distinguished Young Scholars 10128102. P.Z. is partially supported by the special funds for Major State Research Projects G1999032804 and the Teaching and Research Award for outstanding young teachers from the Chinese MOE.

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

AN - SCOPUS:4243180535

SN - 0377-0257

VL - 121

SP - 117

EP - 125

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

IS - 2-3

ER -

Stochastic models of polymeric fluids at small Deborah number

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this