Uzawa-like methods for numerical modelling of unsteady viscoplastic Bingham medium flows

Larisa V. Muravleva, Ekaterina A. Muravleva

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The Augmented Lagrangian Method (ALM) is implemented for two-dimensional flows of viscoplastic fluids. The rheological model employed is the ideal Bingham model. As a test the lid-driven square-cavity benchmark problem, flows in wavy-walled channels and squeeze flow are considered. The results for the steady-state problem are faithfully reproduced as compared to those in the literature for the shape and location of the yield surface. The proposed method is very successful at capturing both yielded and unyielded regions.

Original languageEnglish
Title of host publicationECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Pages6996-7007
Number of pages12
Publication statusPublished - 2012
Externally publishedYes
Event6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Austria
Duration: 10 Sep 201214 Sep 2012

Publication series

NameECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

Conference

Conference6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
Country/TerritoryAustria
CityVienna
Period10/09/1214/09/12

Keywords

  • Bingham medium
  • Liddriven square cavity
  • Transient flows
  • Variational inequalities
  • Viscoplasticity

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