Volume 2, Issue 4
Comparison of Different Formulations for the Numerical Calculation of Unsteady Incompressible Viscoelastic Fluid Flow

L. J. Amoreira & P. J. Oliveira

Adv. Appl. Math. Mech., 2 (2010), pp. 483-502.

Published online: 2010-02

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  • Abstract

In this paper we compare different methods currently used in the stabilization of numerical simulations of time-dependent viscoelastic fluid flows described with the Oldroyd-B and related models. The methods under consideration, based on the separation of newtonian-like components from the stress tensor, are applied to a finite volume analysis of two simple benchmark problems (the plane Poiseuille startup and pulsated flows), for which analytical solutions are known. The relative performances of each method are evaluated regarding stability, accuracy and efficiency.

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@Article{AAMM-2-483, author = {L. J. Amoreira and P. J. Oliveira}, title = {Comparison of Different Formulations for the Numerical Calculation of Unsteady Incompressible Viscoelastic Fluid Flow}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {4}, pages = {483--502}, abstract = {

In this paper we compare different methods currently used in the stabilization of numerical simulations of time-dependent viscoelastic fluid flows described with the Oldroyd-B and related models. The methods under consideration, based on the separation of newtonian-like components from the stress tensor, are applied to a finite volume analysis of two simple benchmark problems (the plane Poiseuille startup and pulsated flows), for which analytical solutions are known. The relative performances of each method are evaluated regarding stability, accuracy and efficiency.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1010}, url = {http://global-sci.org/intro/article_detail/aamm/8342.html} }
TY - JOUR T1 - Comparison of Different Formulations for the Numerical Calculation of Unsteady Incompressible Viscoelastic Fluid Flow AU - L. J. Amoreira & P. J. Oliveira JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 483 EP - 502 PY - 2010 DA - 2010/02 SN - 2 DO - http://doi.org/10.4208/aamm.10-m1010 UR - https://global-sci.org/intro/article_detail/aamm/8342.html KW - AB -

In this paper we compare different methods currently used in the stabilization of numerical simulations of time-dependent viscoelastic fluid flows described with the Oldroyd-B and related models. The methods under consideration, based on the separation of newtonian-like components from the stress tensor, are applied to a finite volume analysis of two simple benchmark problems (the plane Poiseuille startup and pulsated flows), for which analytical solutions are known. The relative performances of each method are evaluated regarding stability, accuracy and efficiency.

L. J. Amoreira & P. J. Oliveira. (1970). Comparison of Different Formulations for the Numerical Calculation of Unsteady Incompressible Viscoelastic Fluid Flow. Advances in Applied Mathematics and Mechanics. 2 (4). 483-502. doi:10.4208/aamm.10-m1010
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