000015954 001__ 15954
000015954 005__ 20161115135334.0
000015954 04107 $$aeng
000015954 046__ $$k2013-06-12
000015954 100__ $$aSyrakos, A.
000015954 24500 $$aSolution of Viscoplastic Flows With the Finite Volume/Multigrid Method

000015954 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015954 260__ $$bNational Technical University of Athens, 2013
000015954 506__ $$arestricted
000015954 520__ $$2eng$$aWe investigate the performance of the finite volume method in solving viscoplastic flows. The square lid-driven cavity flow of a Bingham plastic is chosen as the test case and the constitutive equation is regularised as proposed by Papanastasiou [J. Rheol. 31 (1987) 385404]. The numerical results obtained for Bingham numbers up to 10 and Reynolds numbers up to 5000 compare favourably with reported results obtained through other methods. The effects of the Reynolds and Bingham numbers are also investigated. It is shown that the convergence rate of the standard SIMPLE pressure-correction algorithm, which is used to solve the algebraic equation system that is produced by the finite volume discretisation, severely deteriorates as the Bingham number increases, with a corresponding increase in the non-linearity of the equations. Using the SIMPLE algorithm in a multigrid context [Syrakos & Goulas, Int. J. Numer. Methods Fluids 52 (2006) 1215-1245] dramatically improves convergence, although the multigrid convergence rates are not as high as those for Newtonian flows.

000015954 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015954 653__ $$aFinite Volume Method, Viscoplastic Flows, Papanastasiou Regularisation, Multigrid, Lid-driven Cavity

000015954 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015954 720__ $$aSyrakos, A.$$iGeorgiou, G.$$iAlexandrou, A.
000015954 8560_ $$ffischerc@itam.cas.cz
000015954 8564_ $$s1005563$$uhttps://invenio.itam.cas.cz/record/15954/files/2010.pdf$$yOriginal version of the author's contribution as presented on CD, section: SC-MS 08 COMPUTATIONAL NON-NEWTONIAN FLUID MECHANICS
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000015954 962__ $$r15525
000015954 980__ $$aPAPER