A fractional step θ
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- 作者：J.C. Chrispell ; V.J. Ervin ; E.W. Jenkins
- 关键词： ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TYH-4WBT45M-2&_mathId=mml94&_user=10&_cdi=5619&_pii=S0377042709003306&_rdoc=3&_issn=03770427&_acct=C000050221&_version=1&_userid=10&md5=d2e
- 刊名：Journal of Computational and Applied Mathematics
- 出版年：2009
- 出版时间：15 October 2009
- 年：2009
- 卷：232
- 期：2
- 页码：159-175
- 全文大小：2276 K
文摘
A fractional step θ-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.