An Integrated RBFN-Based Macro-Micro Multi-Scale Method for Computation of Visco-Elastic Fluid Flows

This paper presents a numerical approach for macro-micro multi-scale modelling of visco-elastic fluid flows based on the Integrated Radial Basis Function Networks (IRBFNs) and the Stochastic Simulation Technique (SST). The extra stress is calculated using the Brownian configuration fields (BCFs) tec...

Full description

Saved in:
Bibliographic Details
Published in:Computer modeling in engineering & sciences 2011-01, Vol.82 (2), p.137
Main Authors: C.-D. Tran, D.-A. An-Vo, Mai-Duy, N, Tran-Cong, T
Format: Article
Language:English
Subjects:
Accuracy
Approximants
Collocation methods
Computational fluid dynamics
Computer simulation
Configurations
Constitutive equations
Constitutive relationships
Couette flow
Equilibrium flow
Fluid flow
Laminar flow
Mathematical models
Meshless methods
Multiscale analysis
Radial basis function
Rheological properties
Velocity distribution
Viscoelasticity
Viscosity
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents a numerical approach for macro-micro multi-scale modelling of visco-elastic fluid flows based on the Integrated Radial Basis Function Networks (IRBFNs) and the Stochastic Simulation Technique (SST). The extra stress is calculated using the Brownian configuration fields (BCFs) technique while the velocity field is locally approximated at a set of collocation points using 1D-IRBFNs. In this approach, the stress is decoupled from the velocity field and computed from the molecular configuration directly without the need for a closed form rheological constitutive equation. The equations governing the macro flow field are discretised using a meshless collocation method where the IRBFN approximants improve the accuracy of the numerical solutions by avoiding the deterioration of accuracy caused by differentiation. As an illustration of the method, the time evolution of the planar Couette flow and the steady state Poiseuille flow are studied for two molecular kinetic models: the Hookean dumbbell and FENE dumbbell models.
ISSN:1526-1492
1526-1506
DOI:10.3970/cmes.2011.082.137