Title | ||
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A two-parameter defect-correction method for computation of steady-state viscoelastic fluid flow |
Abstract | ||
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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 |
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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. Ervin | 1 | 118 | 15.66 |
Jason S. Howell | 2 | 20 | 2.32 |
Hyesuk Lee | 3 | 40 | 8.26 |