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Finite element methods for strongly‐coupled systems of fluid‐structure interaction with application to granular flow in silos
Author(s) -
Reinstädler Sven,
Zilian Andreas,
Dinkler Dieter
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010183
Subject(s) - silo , finite element method , granular material , mechanics , newtonian fluid , viscoplasticity , discretization , information silo , fluid–structure interaction , fluid dynamics , extended finite element method , materials science , mechanical engineering , structural engineering , physics , mathematics , engineering , mathematical analysis , composite material , constitutive equation
A monolithic approach to fluid‐structure interactions based on the space‐time finite element method is presented to investigate stress states in silos filled with granular material during discharge. The thin‐walled silo‐shell is discretized by continuum based, mixed‐hybrid finite elements, whereas the flowing granular material is described by an enhanced viscoplastic non‐Newtonian fluid model. To adapt the mesh nodes of the fluid domain to the structural deformations, a mesh‐moving scheme using a pseudo‐solid is applied. The level‐set‐method involving XFEM is used, including a 4D split algorithm for the space‐time finite elements, in order to describe free surfaces. The method is applied to 3D silo discharges. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)