On the consequence of discretization errors in the numerical calculation of viscoelastic flow

Dupret, François;Marchal, J.M.;Crochet, Marcel
(1985) Journal of Non-Newtonian Fluid Mechanics — Vol. 18, n° 2, p. 173-186 (1985)

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Authors
  • Dupret, FrançoisUCLouvain
    Author
  • Marchal, J.M.
    Author
  • Crochet, MarcelUCLouvain
    Author
Abstract
Having recalled some theorems pertaining to strong solutions of the viscoelastic flow problem, the authors establish a parallel between these theorems and observations made in the numerical calculation of such flows by means of a mixed method. Numerical errors in the evaluation of the extra-stress tensor have dramatic consequences upon the other field variables for the flow of a Maxwell fluid, and the damage is limited with an Oldroyd-B fluid.
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Dupret, F., Marchal, J. M., & Crochet, M. (1985). On the consequence of discretization errors in the numerical calculation of viscoelastic flow. Journal of Non-Newtonian Fluid Mechanics, 18(2), 173-186. https://doi.org/10.1016/0377-0257(85)85020-5 (Original work published 1985)