Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634819 | Applied Mathematics and Computation | 2008 | 17 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Vincent J. Ervin, Jason S. Howell, Hyesuk Lee,