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Finite element and stream-tube formulations for flow computations—two-dimensional applications

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  • Normandin, Magdeleine
  • Radu, Dana Grecov
  • Mahmoud, Ahmad
  • Clermont, Jean-Robert

Abstract

This paper presents a velocity/pressure/function-of-transformation formulation to simulate two- and three-dimensional flows by a finite element Galerkin technique associated to stream-tube analysis. The latter method involves an unknown transformation. Applications are given for plane and axisymmetric flows with slip or no-slip conditions at the wall and with free surfaces. In the mapped domain, two-dimensional streamline Hermite elements, well-adapted to various boundary conditions, are considered. The numerical results for a Newtonian fluid are found to be consistent with those of the literature and highlight singularity effects that arise at the transition zone of change of boundary conditions, in stick-slip and swell flow problems.

Suggested Citation

  • Normandin, Magdeleine & Radu, Dana Grecov & Mahmoud, Ahmad & Clermont, Jean-Robert, 2002. "Finite element and stream-tube formulations for flow computations—two-dimensional applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 60(1), pages 129-134.
    • Handle: RePEc:eee:matcom:v:60:y:2002:i:1:p:129-134
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    References listed on IDEAS

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    1. Béreaux, Yves & Clermont, Jean-Robert, 1997. "Numerical simulation of two- and three-dimensional complex flows of viscoelastic fluids using the stream-tube method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 44(4), pages 387-400.
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    Cited by:

    1. Mokdad, B. & Ammar, A. & Normandin, M. & Chinesta, F. & Clermont, J.R., 2010. "A fully deterministic micro–macro simulation of complex flows involving reversible network fluid models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(9), pages 1936-1961.

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