Numerical simulations of cessation flows of a Bingham plastic with the augmented Lagrangian method

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dc.contributor.author Muravleva, L en
dc.contributor.author Muravleva, E en
dc.contributor.author Georgiou, GC en
dc.contributor.author Mitsoulis, E en
dc.date.accessioned 2014-03-01T01:33:57Z
dc.date.available 2014-03-01T01:33:57Z
dc.date.issued 2010 en
dc.identifier.issn 0377-0257 en
dc.identifier.uri http://hdl.handle.net/123456789/20634
dc.subject Augmented Lagrangian method (ALM) en
dc.subject Bingham plastic en
dc.subject Cessation flows en
dc.subject Finite stopping times en
dc.subject Iterative Uzawa algorithm en
dc.subject Poiseuille flows en
dc.subject Variational inequalities en
dc.subject.classification Mechanics en
dc.subject.other Augmented Lagrangian methods en
dc.subject.other Bingham plastic en
dc.subject.other Poiseuille flow en
dc.subject.other Uzawa algorithms en
dc.subject.other Variational inequalities en
dc.subject.other Computer simulation en
dc.subject.other Lagrange multipliers en
dc.subject.other Plastics en
dc.subject.other Variational techniques en
dc.subject.other Iterative methods en
dc.title Numerical simulations of cessation flows of a Bingham plastic with the augmented Lagrangian method en
heal.type journalArticle en
heal.identifier.primary 10.1016/j.jnnfm.2010.02.002 en
heal.identifier.secondary http://dx.doi.org/10.1016/j.jnnfm.2010.02.002 en
heal.language English en
heal.publicationDate 2010 en
heal.abstract The augmented Lagrangian/Uzawa method has been used to study benchmark one-dimensional cessation flow problems of a Bingham fluid, such as the plane Couette flow, and the plane, round, and annular Poiseuille flows. The calculated stopping times agree well with available theoretical upper bounds for the whole range of Bingham numbers and with previous numerical results. The applied method allows for easy determination of the yielded and unyielded regions. The evolution of the rigid zones in these unsteady flows is presented. It is demonstrated that the appearance of an unyielded zone near the wall occurs for any non-zero Bingham number not only in the case of a round tube but also in the case of an annular tube of small radii ratio. The advantages of using the present method instead of regularizing the constitutive equation are also discussed. (c) 2010 Elsevier B.V. All rights reserved. en
heal.publisher ELSEVIER SCIENCE BV en
heal.journalName Journal of Non-Newtonian Fluid Mechanics en
dc.identifier.doi 10.1016/j.jnnfm.2010.02.002 en
dc.identifier.isi ISI:000277539900010 en
dc.identifier.volume 165 en
dc.identifier.issue 9-10 en
dc.identifier.spage 544 en
dc.identifier.epage 550 en

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