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
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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 -