Year: 2015
International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 4 : pp. 617–635
Abstract
In this article, a characteristic scheme is considered for the viscoelastic Oldroyd fluid flows based on the lowest equal-order finite element pair. The diffusion term in these equations is discretized by using finite element method, the temporal differentiation and advection terms are treated by characteristic scheme and the integral term is handled by applying right rectangle rule. Unconditionally stability and optimal error estimates for the velocity and pressure are derived. Finally, some numerical results are provided to verify the performance of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2015-IJNAM-504
International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 4 : pp. 617–635
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: viscoelastic Oldroyd fluid motion problem characteristic scheme stabilized method stability error estimate.