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A Defect-Correction Method for Time-Dependent Viscoelastic Fluid Flow Based on SUPG Formulation
Joint Authors
Hou, Yanren
Yang, Ganshan
Zhang, Yunzhang
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-10
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
A defect-correction mixed finite element method for solving the time-dependent Johnson-Segalman viscoelastic equations in two dimensions is given.
In the defect step, the constitutive equation is computed with the artificially reduced Weissenberg parameter for stability, and the resulting residual is corrected in the correction step on the same grid.
A streamline upwind Petrov-Galerkin (SUPG) approximation is used to stabilize the hyperbolic character of the constitutive equation for the stress.
We establish a priori error estimates for the defect step and the first correction step of the defect correction method.
The derived theoretical results are supported by numerical tests.
American Psychological Association (APA)
Zhang, Yunzhang& Hou, Yanren& Yang, Ganshan. 2011. A Defect-Correction Method for Time-Dependent Viscoelastic Fluid Flow Based on SUPG Formulation. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-25.
https://search.emarefa.net/detail/BIM-490762
Modern Language Association (MLA)
Zhang, Yunzhang…[et al.]. A Defect-Correction Method for Time-Dependent Viscoelastic Fluid Flow Based on SUPG Formulation. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-25.
https://search.emarefa.net/detail/BIM-490762
American Medical Association (AMA)
Zhang, Yunzhang& Hou, Yanren& Yang, Ganshan. A Defect-Correction Method for Time-Dependent Viscoelastic Fluid Flow Based on SUPG Formulation. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-25.
https://search.emarefa.net/detail/BIM-490762
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490762