TY  - EJOU
AU  - Nguyen, H.Q.  
AU  - Tran, C.-D.  
AU  - Tran-Cong, T.  

TI  - RBFN stochastic coarse-grained simulation method: Part I - Dilute polymer solutions using Bead-Spring Chain models
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2015
VL  - 105
IS  - 5
SN  - 1526-1506

AB  - 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.
KW  - Stochastic coarse-grained simulation
KW  -  Brownian Configuration Fields
KW  -  Integrated Radial basis function
KW  -  nonlinear bead-spring chain models
KW  -  hydrodynamic interaction
KW  -  excluded volume

DO  - 10.3970/cmes.2015.105.399