A Defect‐Correction Method for Time‐Dependent Viscoelastic Fluid Flow Based on SUPG Formulation | Zendy

Yunzhang Zhang | Zendy; Yanren Hou | Zendy; Ganshan Yang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A Defect‐Correction Method for Time‐Dependent Viscoelastic Fluid Flow Based on SUPG Formulation

Author(s) -

Yunzhang Zhang,

Yanren Hou,

Ganshan Yang

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/689804

Subject(s) - weissenberg number , constitutive equation , a priori and a posteriori , viscoelasticity , finite element method , mathematics , residual , mathematical analysis , galerkin method , discontinuous galerkin method , flow (mathematics) , geometry , algorithm , physics , philosophy , epistemology , thermodynamics

A defect-correction mixed finite element method for solving the time-dependentJohnson-Segalman viscoelastic equations in two dimensions is given. Inthe defect step, the constitutive equation is computed with the artificiallyreduced Weissenberg parameter for stability, and the resulting residual iscorrected in the correction step on the same grid. A streamline upwindPetrov-Galerkin (SUPG) approximation is used to stabilize the hyperboliccharacter of the constitutive equation for the stress. We establish a priorierror estimates for the defect step and the first correction step of the defectcorrection method. The derived theoretical results are supported bynumerical tests.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research