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Volume 12, Issue 4
A Stabilized Characteristic Finite Element Method for the Viscoelastic Oldroyd Fluid Motion Problem

Tong Zhang & Jinyun Yuan

Int. J. Numer. Anal. Mod., 12 (2015), pp. 617-635.

Published online: 2015-12

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  • 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.

  • Keywords

viscoelastic Oldroyd fluid motion problem, characteristic scheme, stabilized method, stability, error estimate.

  • AMS Subject Headings

65N30, 65N15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-12-617, author = {Tong Zhang and Jinyun Yuan}, title = {A Stabilized Characteristic Finite Element Method for the Viscoelastic Oldroyd Fluid Motion Problem}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2015}, volume = {12}, number = {4}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/504.html} }
TY - JOUR T1 - A Stabilized Characteristic Finite Element Method for the Viscoelastic Oldroyd Fluid Motion Problem AU - Tong Zhang & Jinyun Yuan JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 617 EP - 635 PY - 2015 DA - 2015/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/504.html KW - viscoelastic Oldroyd fluid motion problem, characteristic scheme, stabilized method, stability, error estimate. AB -

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.

Tong Zhang and Jinyun Yuan. (2015). A Stabilized Characteristic Finite Element Method for the Viscoelastic Oldroyd Fluid Motion Problem. International Journal of Numerical Analysis and Modeling. 12 (4). 617-635. doi:
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