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Modelling of Non-Isothermal Non-Newtonian Viscoelastic Flows

In: Computational Mechanics

Author

Listed:
  • X. K. Li

    (Dalian University of Technology, Department of Engineering Mechanics)

  • X. H. Han

    (Dalian University of Technology, Department of Engineering Mechanics)

  • Q. L. Duan

    (Dalian University of Technology, Department of Engineering Mechanics)

Abstract

An adaptive coupled finite element (FE) and meshfree (MF) method in ALE description for numerical simulation of injection molding processes is proposed. In combination with the proposed method, an iterative stabilized fractional step algorithm using Characteristic Based Split procedure for numerical simulation of incompressible non-isothermal non-Newtonian fluid flows is developed. The pressure stabilization is further enhanced with introduction of the modified version of finite increment calculus (FIC) process into the proposed algorithm. A mixed finite element formulation for viscoelastic flows is derived, in which the FIC pressure stabilization process and the DEVSS method using the Crank-Nicolson-based split are introduced within a general framework of the iterative version of the fractional step algorithm. The SU method is particularly chosen to deal with the convective terms in the constitutive equation of viscoelastic flows. With the proposed scheme the finite elements with equal low-order interpolation approximations for stress-velocity-pressure variables are successfully used with numerical stability and high convergence rate even for viscoelastic flows with high Weissenberg numbers. Numerical experiments demonstrate the significance and performance of the proposed method.

Suggested Citation

  • X. K. Li & X. H. Han & Q. L. Duan, 2007. "Modelling of Non-Isothermal Non-Newtonian Viscoelastic Flows," Springer Books, in: Computational Mechanics, pages 122-135, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75999-7_11
    DOI: 10.1007/978-3-540-75999-7_11
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