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Zbl 0748.76040
El Alaoui Talibi, M.; Bayada, G.
Une méthode du type caractéristique pour la résolution d'un problème de lubrification hydrodynamique en régime transitoire. (A method of characteristics for the resolution of a time-dependent lubrication problem in hydrodynamics). (French)
[J] RAIRO, Modélisation Math. Anal. Numér. 25, No.4, 395-423 (1991). ISSN 0764-583X

The authors study a moving free boundary problem related to a cavitation model in a lubricated device. In this case, the classical Reynolds equation includes a new variable acting as saturation. The authors introduce an algorithm based on the characteristic method for the time discretization. In this way, the time-discretized problem can be viewed as a variational inequality in which the saturation acts as a Lagrange multiplier. Finally, some specific numerical computations are given for a face seals device.
[M.A.Boudourides (Xanthi)]

MSC 2000:: *76D08 Lubrication theory

Keywords: free boundary problem; cavitation; Reynolds equation; saturation; time discretization; variational inequality

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