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Free Surface Lattice-Boltzmann Method To Model The Filling Of Expanding Cavities By Bingham Fluids

  • The filling process of viscoplastic metal alloys and plastics in expanding cavities is modelled using the lattice Boltzmann method in two and three dimensions. These models combine the regularized Bingham model for viscoplastic with a free-interface algorithm. The latter is based on a modified immiscible lattice Boltzmann model in which one species is the fluid and the other one is considered as vacuum. The boundary conditions at the curved liquid-vacuum interface are met without any geometrical front reconstruction from a first-order Chapman-Enskog expansion. The numerical results obtained with these models are found in good agreement with available theoretical and numerical analysis.

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Author:I. Ginzburg, K. Steiner
URN (permanent link):urn:nbn:de:hbz:386-kluedo-12912
Serie (Series number):Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (28)
Document Type:Report
Language of publication:English
Year of Completion:2001
Year of Publication:2001
Publishing Institute:Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
Date of the Publication (Server):2004/02/02
Tag:Bingham viscoplastic model; Generalized LBE; filling processes; free-surface phenomena; interface boundary conditions; regularized models
Faculties / Organisational entities:Fraunhofer (ITWM)
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011