Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641798 | Journal of Computational and Applied Mathematics | 2009 | 17 Pages |
Abstract
A fractional step θθ-method for the approximation of time-dependent viscoelastic fluid flow equations is described and analyzed in this article. The algorithm uses substeps within a time step to sequentially update velocity, pressure, and stress. This lagged approach to temporal integration requires a resolution of smaller systems than a fully implicit approach while achieving a second order temporal accuracy. We establish a priori error estimates for our scheme, and provide numerical computations to support the theoretical results and demonstrate the capability of this method.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J.C. Chrispell, V.J. Ervin, E.W. Jenkins,