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Article Dans Une Revue Journal of Non-Newtonian Fluid Mechanics Année : 2016

A damped Newton algorithm for computing viscoplastic fluid flows

Résumé

For the first time, a Newton method is proposed for the unregularized viscoplastic fluid flow problem. It leads to a superlinear convergence for Herschel-Bulkley fluids when 0<n<1, where n is the power law index. Performances are enhanced by using the inexact variant of the Newton method and, for solving the Jacobian system, by using an efficient preconditioner based on the regularized problem. A demonstration is provided by computing a viscoplastic flow in a pipe with a square cross section. Comparisons with the augmented Lagrangian algorithm show a dramatic reduction of the required computing time while this new algorithm provides an equivalent accuracy for the prediction of the yield surfaces.
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Dates et versions

hal-01228347 , version 1 (12-11-2015)
hal-01228347 , version 2 (05-02-2016)
hal-01228347 , version 3 (11-05-2016)

Identifiants

Citer

Pierre Saramito. A damped Newton algorithm for computing viscoplastic fluid flows. Journal of Non-Newtonian Fluid Mechanics, 2016, Viscoplastic Fluids: From Theory to Application 2015 (VPF6), 238, pp.6-15. ⟨10.1016/j.jnnfm.2016.05.007⟩. ⟨hal-01228347v3⟩
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