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A fully deterministic micro–macro simulation of complex flows involving reversible network fluid models

Author

Listed:
  • Mokdad, B.
  • Ammar, A.
  • Normandin, M.
  • Chinesta, F.
  • Clermont, J.R.

Abstract

Micro–macro models associate the coarse-grained molecular scale of the kinetic theory to the macroscopic scale of continuum mechanics. The conservation equations are solved along with the microscopic equation or the so-called Fokker–Planck equation. In this paper, a micro–macro approach based on the separated representation introduced in [2,3] with the Stream-Tube method [10–12,21,22] is implemented to study the main features of fiber and polymer networks solutions in complex flows. The Fokker–Planck equation, that defines the fluid microstructure, is solved using a separated representation strategy and is coupled to the macroscopic equations through the macroscopic extra-stress tensor evaluated at the microscopic level. Then, the flow kinematics is solved by applying the Stream-Tube method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:80:y:2010:i:9:p:1936-1961
    DOI: 10.1016/j.matcom.2010.03.002
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    References listed on IDEAS

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    1. 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.
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