Extended finite element method for viscous flow inside complex three‐dimensional geometries with moving internal boundaries

Fard, A Arash Sarhangi; Hulsen, MA Martien; Anderson, Patrick Patrick

doi:10.1002/fld.2715

Cited by 14 publications

(7 citation statements)

References 21 publications

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“…Geometric relations are derived that allow to generate a screw setup with constant screw-screw clearance δ s throughout the whole rotation based on given C l , R s , δ b and δ s . A slightly adapted version is presented in (Fard et al, 2012b). It will be used within this work to generate different screw designs.…”

Section: Problem Statement: Screw Configurationsmentioning

confidence: 99%

Boundary-conforming finite element methods for twin-screw extruders: Unsteady - temperature-dependent - non-Newtonian simulations

2019

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We present a boundary-conforming space-time finite element method to compute the flow inside co-rotating, self-wiping twin-screw extruders. The mesh update is carried out using the newly developed Snapping Reference Mesh Update Method (SRMUM). It allows to compute time-dependent flow solutions inside twinscrew extruders equipped with conveying screw elements without any need for re-meshing and projections of solutions -making it a very efficient method. We provide cases for Newtonian and non-Newtonian fluids in 2D and 3D, that show mesh convergence of the solution as well as agreement to experimental results. Furthermore, a complex, unsteady and temperature-dependent 3D test case with multiple screw elements illustrates the potential of the method also for industrial applications.

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Section: Problem Statement: Screw Configurationsmentioning

confidence: 99%

Boundary-conforming finite element methods for twin-screw extruders: Unsteady - temperature-dependent - non-Newtonian simulations

2019

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“…The 3D numerical simulation of fully filled screw elements employing SPH is based on the finite element method (FEM) 13‐20 . Recently, however, SPH has also been applied to complex flow in a partially filled TSE 21‐23 .…”

Section: Introductionmentioning

confidence: 99%

Resin distribution along axial and circumferential directions of self‐wiping co‐rotating parallel twin‐screw extruder

Ohara

Tanifuji²,

Sasai

et al. 2020

AIChE Journal

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A self-wiping co-rotating twin-screw extruder (TSE) is operated in a starved state in which the screws are partially filled with resin. Understanding the resin distribution on the screw surface of a TSE in this state is essential for the design, operation, and maintenance of the twin-screw extrusion process. Accordingly, in this study, the circumferential and axial distribution of resin in a TSE were simulated using a novel method combining the mathematical formulation of Hele-Shaw flow, the finite element method, and a newly developed down-wind pressure updating scheme. The results of the simulation were found to be in good agreement with experimental measurements. The proposed simulation method enables the detailed visualization of resin distribution in the entire axial and circumferential directions over the length of a TSE, improving the ability to determine both the devolatilization and fiber attrition during the extrusion process.

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“…A general overview of these methods can be found in Reference 17. Fictitious domain methods using Lagrange multipliers that enrich the finite element function space (XFEM) are also wide spread, and have been applied to numerous complex applications 18‐21 . Instead of enriching the functions space, Nitsche's method 22 has been used in Reference 23 to enforce the interface coupling as well as boundary conditions weakly.…”

Section: Introductionmentioning

confidence: 99%

Combining boundary‐conforming finite element meshes on moving domains using a sliding mesh approach

Helmig

Key

Behr

et al. 2020

Numerical Methods in Fluids

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For most finite element simulations, boundary‐conforming meshes have significant advantages in terms of accuracy or efficiency. This is particularly true for complex domains. However, with increased complexity of the domain, generating a boundary‐conforming mesh becomes more difficult and time consuming. One might therefore decide to resort to an approach where individual boundary‐conforming meshes are pieced together in a modular fashion to form a larger domain. This article presents a stabilized finite element formulation for fluid and temperature equations on sliding meshes. It couples the solution fields of multiple subdomains whose boundaries slide along each other on common interfaces. Thus, the method allows to use highly tuned boundary‐conforming meshes for each subdomain that are only coupled at the overlapping boundary interfaces. In contrast to standard overlapping or fictitious domain methods the coupling is broken down to few interfaces with reduced geometric dimension. The formulation consists of the following key ingredients: the coupling of the solution fields on the overlapping surfaces is imposed weakly using a stabilized version of Nitsche's method. It ensures mass and energy conservation at the common interfaces. Additionally, we allow to impose weak Dirichlet boundary conditions at the nonoverlapping parts of the interfaces. We present a detailed numerical study for the resulting stabilized formulation. It shows optimal convergence behavior of the interface coupling for both Newtonian and generalized Newtonian material models. Simulations of flow of plastic melt inside single‐screw as well as twin‐screw extruders demonstrate the applicability of the method to complex and relevant industrial applications.

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Extended finite element method for viscous flow inside complex three‐dimensional geometries with moving internal boundaries

Cited by 14 publications

References 21 publications

Boundary-conforming finite element methods for twin-screw extruders: Unsteady - temperature-dependent - non-Newtonian simulations

Boundary-conforming finite element methods for twin-screw extruders: Unsteady - temperature-dependent - non-Newtonian simulations

Resin distribution along axial and circumferential directions of self‐wiping co‐rotating parallel twin‐screw extruder

Combining boundary‐conforming finite element meshes on moving domains using a sliding mesh approach

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