Knezevic, David (2006) Finite element methods for deterministic simulation of polymeric fluids. Technical Report. Unspecified. (Submitted)

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Abstract
In this work we consider a finite element method for solving the coupled NavierStokes (NS) and FokkerPlanck (FP) multiscale model that describes the dynamics of dilute polymeric fluids. Deterministic approaches such as ours have not received much attention in the literature because they present a formidable computational challenge, due to the fact that the analytical solution to the FokkerPlanck equation may be a function of a large number of independent variables. For instance, to simulate a nonhomogeneous flow one must solve the coupled NSFP system in which (for a 3dimensional flow, using the dumbbell model for polymers) the FokkerPlanck equation is posed in a 6dimensional domain. In this work we seek to demonstrate the feasibility of our deterministic approach. We begin by discussing the physical and mathematical foundations of the NSFP model. We then present a literature review of relevant developments in computational rheology and develop our deterministic finite element based method in detail. Numerical results demonstrating the efficiency of our approach are then given, including some novel results for the simulation of a fully 3dimensional flow. We utilise parallel computation to perform the largescale numerical simulations.
Item Type:  Technical Report (Technical Report) 

Subjects:  H  N > Numerical analysis 
Research Groups:  Numerical Analysis Group 
ID Code:  1104 
Deposited By:  Lotti Ekert 
Deposited On:  11 May 2011 09:59 
Last Modified:  29 May 2015 18:47 
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