Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1227.76033
Li, Xikui; Han, Xianhong; Wang, Xuanping
Numerical modeling of viscoelastic flows using equal low-order finite elements. (English)
[J] Comput. Methods Appl. Mech. Eng. 199, No. 9-12, 570-581 (2010). ISSN 0045-7825

Summary: A mixed finite element scheme abbreviated as I\_PS\_DEVSS\_CNBS scheme for modeling viscoelastic flow problems is presented. The finite incremental calculus (FIC) pressure stabilization process and the discrete elastic-viscous stress-splitting method (DEVSS) are introduced into the general framework of the iterative version of the fractional step algorithm with the use of the Crank-Nicolson-based splitting. Inconsistent streamline upwinding method (SU) is employed to spatially discretize the constitutive equation of viscoelastic fluids. Equal low-order finite elements which violate the LBB compatibility conditions are successfully used in the proposed scheme. In addition, the Oldroyd-B and the PTT models have been integrated into the proposed scheme to solve the 4:1 sudden contraction flow problem. The numerical results demonstrate prominent stability and accuracy of both pressure and stress distributions over the flow domains provided by the proposed scheme within the Weissenberg number range studied in the present work, as compared with the reference solutions reported in the literatures.

MSC 2000:: *76M10 Finite element methods
76A10 Viscoelastic fluids

Keywords: viscoelastic flow simulation; FIC stabilization; iterative fractional step algorithm; DEVSS method; SU method; equal low-order finite elements

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]