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Recirculating Flows Involving Short Fiber Suspensions: Numerical Difficulties and Efficient Advanced Micro-Macro Solvers

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Abstract

Numerical modelling of non-Newtonian flows usually involves the coupling between equations of motion characterized by an elliptic character, and the fluid constitutive equation, which defines an advection problem linked to the fluid history. There are different numerical techniques to treat the hyperbolic advection equations. In non-recirculating flows, Eulerian discretizations can give a convergent solution within a short computing time. However, the existence of steady recirculating flow areas induces additional difficulties. Actually, in these flows neither boundary conditions nor initial conditions are known. In this paper we compares different advanced strategies (some of them recently proposed and extended here for addressing complex flows) when they are applied to the solution of the kinetic theory description of a short fiber suspension fluid flows.

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Authors and Affiliations

  1. Laboratoire de Rhéologie, UMR 5520 INPG-UJF-CNRS, 1301 rue de la piscine, BP 53 Domaine universitaire, 38041, Grenoble Cedex 9, France

    Etienne Pruliere, Amine Ammar & Nadia El Kissi

  2. LMSP, UMR 8106 CNRS-ENSAM, 151 Boulevard de l’Hôpital, 75013, Paris, France

    Francisco Chinesta

Authors
  1. Etienne Pruliere
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  2. Amine Ammar
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  3. Nadia El Kissi
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  4. Francisco Chinesta
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Correspondence to Amine Ammar.

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Pruliere, E., Ammar, A., El Kissi, N. et al. Recirculating Flows Involving Short Fiber Suspensions: Numerical Difficulties and Efficient Advanced Micro-Macro Solvers. Arch Computat Methods Eng 16, 1–30 (2009). https://doi.org/10.1007/s11831-008-9027-9

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