Thixoviscoplastic flow simulations based on Houska thixotropic and Bingham viscoplastic models

We present finite element method (FEM) simulations for quasi‐Newtonian modeling approach for thixoviscoplastic (TVP) flow problems. TVP flows are based on Houska thixotropic and Bingham viscoplastic models, which leads to coupled multifield nonlinear problems, which requires on the one hand efficien...

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Bibliographic Details
Published inProceedings in applied mathematics and mechanics Vol. 24; no. 2
Main Authors Begum, Naheed, Ouazzi, Abderrahim, Turek, Stefan
Format Journal Article
LanguageEnglish
Published 01.08.2024
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ISSN1617-7061
1617-7061
DOI10.1002/pamm.202400003

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Summary:We present finite element method (FEM) simulations for quasi‐Newtonian modeling approach for thixoviscoplastic (TVP) flow problems. TVP flows are based on Houska thixotropic and Bingham viscoplastic models, which leads to coupled multifield nonlinear problems, which requires on the one hand efficient solver, and a delicate treatment of boundary conditions (BCs) on the other hand. We use FEM monolithic adaptive discrete Newton‐multigrid method with efficient FEM discretization choice, that is, discontinuous linear pressure and biquadratic for both velocity and microstructure. In regard to BCs settings, we concretize our analysis for channel flow configuration, and develop one‐dimensional reduced model assuming fully developed flow, which provide us with discrete data that we use as BCs and validation tool for two‐dimensional FEM simulations.
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.202400003