Computation of viscoelastic flow using neural networks and stochastic simulation

Tran, Canh-Dung and Tran-Cong, Thanh (2002) Computation of viscoelastic flow using neural networks and stochastic simulation. Korea-Australia Rheology Journal, 14 (4). pp. 161-174. ISSN 1226-119X


A new technique for numerical calculation of viscoelastic flow based on the combination of Neural
Networks (NN) and Brownian Dynamics simulation or Stochastic Simulation Technique (SST) is presented in this paper. This method uses a “universal approximator” based on neural network methodology in combination with the kinetic theory of polymeric liquid in which the stress is computed from the molecular configuration rather than from closed form constitutive equations. Thus the new method obviates not only the need for a rheological constitutive equation to describe the fluid (as in the original Calculation Of Non-Newtonian Flows: Finite Elements & Stochastic Simulation Techniques (CONNFFESSIT) idea) but also any kind of finite element-type discretisation of the domain and its boundary for numerical solution of the governing PDE's. As an illustration of the method, the time development of the planar Couette flow is studied for two molecular kinetic models with finite extensibility, namely the Finitely Extensible Nonlinear Elastic (FENE) and FENE-Peterlin (FENE-P) models.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2002 by The Korean Society of Rheology.
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 03 Aug 2011 02:27
Last Modified: 03 Jul 2013 00:28
Uncontrolled Keywords: Brownian dynamics, neural networks, molecular models, stochastic simulation, viscoelastic flow, diffusion equation, Fokker-Plank equation, Brownian simulation, CONNFFESSIT
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences

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