Title
A two-parameter defect-correction method for computation of steady-state viscoelastic fluid flow
Abstract
The numerical simulation of viscoelastic fluid flow becomes more difficult as a physical parameter, the Weissenberg number, increases. Specifically, at a Weissenberg number larger than a critical value, the iterative nonlinear solver fails to converge. In this paper a two-parameter defect-correction method for viscoelastic fluid flow is presented and analyzed. In the defect step the Weissenberg number is artificially reduced to solve a stable nonlinear problem. The approximation is then improved in the correction step using a linearized correction iteration. Numerical experiments support the theoretical results and demonstrate the effectiveness of the method.
Year
DOI
Venue
2008
10.1016/j.amc.2007.07.014
Applied Mathematics and Computation
Keywords
Field
DocType
Viscoelastic fluid,Defect correction,Finite element,Discontinuous Galerkin,Weissenberg number
Discontinuous Galerkin method,Mathematical optimization,Nonlinear system,Iterative method,Mathematical analysis,Weissenberg number,Galerkin method,Finite element method,Steady state,Numerical analysis,Mathematics
Journal
Volume
Issue
ISSN
196
2
0096-3003
Citations 
PageRank 
References 
6
0.59
2
Authors
3
Name
Order
Citations
PageRank
Vincent J. Ervin111815.66
Jason S. Howell2202.32
Hyesuk Lee3408.26