@Article{cmes.2015.105.399,
AUTHOR = {H.Q.  Nguyen, C.-D.  Tran, T.  Tran-Cong},
TITLE = {RBFN stochastic coarse-grained simulation method: Part I - Dilute polymer solutions using Bead-Spring Chain models},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {105},
YEAR = {2015},
NUMBER = {5},
PAGES = {399--439},
URL = {http://www.techscience.com/CMES/v105n5/27225},
ISSN = {1526-1506},
ABSTRACT = {In this paper, dynamic behaviours of dilute polymer solutions of various bead-spring chain models in shear flow are studied using a coarse-grained method based on the Integrated Radial Basis Function Networks (IRBFNs) and stochastic technique. The velocity field governed by the macroscopic conservation equations is determined by the IRBFN-based method, whereas the evolution of configurations of polymer chains governed by the diffusion stochastic differential equations are captured by the Brownian Configuration Field (BCF) approach. The system of micro-macro equations is closed by the Kramers’ expression, which allows for the determination of the polymer stresses in terms of BCF configurations. In this work, all nonlinear effects in a BSC model such as hydrodynamic interaction and excluded volume are considered. Since the simulation requires a considerable computational effort, parallel calculations are performed where possible. As an illustration of the method, the start-up planar Couette flow is examined, in which the evolution of viscometric functions such as shear stress, the first and the second normal stress differences is assessed with various BSC models.},
DOI = {10.3970/cmes.2015.105.399}
}