Version 1
: Received: 18 October 2023 / Approved: 18 October 2023 / Online: 18 October 2023 (11:56:20 CEST)
How to cite:
Mostafaiyan, M.; Wießner, S.; Heinrich, G. Moving Least-Squares Aided Finite Element method (MLS-FEM): A Powerful Means to Evaluate Distributive Mixing. Preprints2023, 2023101173. https://doi.org/10.20944/preprints202310.1173.v1
Mostafaiyan, M.; Wießner, S.; Heinrich, G. Moving Least-Squares Aided Finite Element method (MLS-FEM): A Powerful Means to Evaluate Distributive Mixing. Preprints 2023, 2023101173. https://doi.org/10.20944/preprints202310.1173.v1
Mostafaiyan, M.; Wießner, S.; Heinrich, G. Moving Least-Squares Aided Finite Element method (MLS-FEM): A Powerful Means to Evaluate Distributive Mixing. Preprints2023, 2023101173. https://doi.org/10.20944/preprints202310.1173.v1
APA Style
Mostafaiyan, M., Wießner, S., & Heinrich, G. (2023). Moving Least-Squares Aided Finite Element method (MLS-FEM): A Powerful Means to Evaluate Distributive Mixing. Preprints. https://doi.org/10.20944/preprints202310.1173.v1
Chicago/Turabian Style
Mostafaiyan, M., Sven Wießner and Gert Heinrich. 2023 "Moving Least-Squares Aided Finite Element method (MLS-FEM): A Powerful Means to Evaluate Distributive Mixing" Preprints. https://doi.org/10.20944/preprints202310.1173.v1
Abstract
Introducing the Moving Least-Squares Aided Finite Element Method (MLS-FEM), we present a robust computational technique that effectively evaluates the development of mixing in polymeric mixing devices. Our approach uses the Moving Least-Squares (MLS) interpolant to enhance the classic finite element shape functions. As a result, it becomes possible to treat fixed or moving components, such as rotors of a mixer, as discontinuities within the flow domain. This allows analysis of the flow field with a background mesh independent of the rotors' shape, orientation, and position. We compared the MLS-FEM results with the classical boundary-fitted mesh FEM, which comprises the mesh regeneration steps by the movement of the rotors. We then showed that the new method provides accurate results for the flow field parameters (i.e., the velocity components and the pressure values) and the mixing evolution without requiring mesh regeneration and without compromising accuracy.
Keywords
finite element method; moving least-squares; mixing
Subject
Engineering, Mechanical Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
