Computation of dilute polymer solution flows using BCF-RBFN based method and domain decomposition technique

Tran, Canh-Dung and Phillips, David G. and Tran-Cong, Thanh (2009) Computation of dilute polymer solution flows using BCF-RBFN based method and domain decomposition technique. Korea-Australia Rheology Journal, 21 (1). pp. 1-12. ISSN 1226-119X

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Abstract

This paper reports the suitability of a domain decomposition technique for the hybrid simulation of dilute polymer solution flows using Eulerian Brownian dynamics and Radial Basis Function Networks (RBFN) based methods. The Brownian Configuration Fields (BCF) and RBFN method incorporates the features of the BCF scheme (which render both closed form constitutive equations and a particle tracking process unnecessary) and a mesh-less method (which eliminates element-based discretisation of domains). However, when dealing with large scale problems, there appear several difficulties: the high computational time associated with the Stochastic Simulation Technique (SST), and the ill-condition of the system matrix associated with the RBFN. One way to overcome these disadvantages is to use parallel domain decomposition (DD) techniques. This approach makes the BCF-RBFN method more suitable for large scale problems


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2009 by The Korean Society of Rheology.
Depositing User: Prof Thanh Tran-Cong
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 25 May 2009 23:48
Last Modified: 21 Aug 2014 21:01
Uncontrolled Keywords: Brownian dynamics; RBFN; Brownian configuration fields; dilute polymer solution; meshless method; domain decomposition; message passing interface (MPI)
Fields of Research (FOR2008): 01 Mathematical Sciences > 0104 Statistics > 010406 Stochastic Analysis and Modelling
03 Chemical Sciences > 0301 Analytical Chemistry > 030103 Flow Analysis
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
URI: http://eprints.usq.edu.au/id/eprint/5152

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