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AN AUGMENTED LAGRANGIAN METHOD FOR COMPUTING BINGHAM FLUID FLOWS

DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.220
page 8

L. Boscardin
Institut de Protection et de Sûrete Nucléaire, Département de Recherches en Sécurité, Service d'Etudes et de Modelisation d'Accidents de Reacteurs -CE Cadarache - 13108 St Paul-Lez-Durance CEDEX - France

J. C. Latche
Institut de Protection et de Sûrete Nucléaire, Département de Recherches en Sécurité, Service d'Etudes et de Modelisation d'Accidents de Reacteurs -CE Cadarache - 13108 St Paul-Lez-Durance CEDEX - France

P. Lesaint
Laboratoire de calcul scientifique - Université de Franche-Comté 16, route de Gray -25000 Besançon - France

Résumé

In this paper we present an Augmented Lagrangian Method to solve the Navier-Stokes equations for a Bingham fluid flow. We describe two algorithms for the solution of the resulting discrete system: Uzawa and Newton-GMRES techniques. A comparison of these two methods on the test case of the driven lid cavity shows that the Uzawa method seems to be more efficient than the other one.

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