A numerical approximation with IPSUPG algorithm for P-T-T viscoelastic flows

Volume 9, Issue 6, pp 4355--4363 http://dx.doi.org/10.22436/jnsa.009.06.75

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Authors

Lei Hou - Department of Mathematics, Shanghai University, Shanghai, 200444, China. Yunqing Feng - Department of Mathematics, Shanghai University, Shanghai, 200444, China. Lin Qiu - Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China., Shanghai 200240, China.

Abstract

A numerical approximation for Phan-Thien-Tanner(P-T-T) viscoelastic flow problems has investigated. The approximation is proposed by an interior penalty(IP) method and a Streamline Upwind Petrov- Galerkin(SUPG) method. Meanwhile, the error estimates for the above numerical approximation of the P-T-T model is derived. The numerical results support the efficiency of the algorithm.

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Keywords

• Viscoelastic flows
• P-T-T model
• finite element method
• stokes
• constitutive equation.

MSC

•  65M60
•  76A10
•  76M10

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