An adaptive multiphase finite element framework for simulating two-dimensional rotational molding
Source abstract
Abstract
Abstract Rotational molding, also known as rotomolding, is a widely used manufacturing process for composite tank liners. Developing this process to obtain high quality liners is usually a long and delicate step. The implementation of numerical simulation can facilitate and expedite its development. It is challenging to obtain information about polymer movement through experimental methods. In this paper, we present a two-dimensional thermo fluid simulation of rotomolding using the immersed boundary approach with the level set technique. Numerical simulation using the Eulerian approach with the finite element method with anisotropic mesh refinement and the immersed boundary method has proven to be a powerful tool for analyzing and optimizing the molding processes with the help of implicit boundary and adaptive anisotropic meshing techniques. The finite element method is a valuable tool that allows us to combine several physical elements. This approach enables us to identify critical process variables and optimize design choices. To verify our methodology, we first simulated a 2D cross section of the mold by incorporating a two phase flow problem involving the polymer/air interface.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Polymer Foaming and Composites · Rheology and Fluid Dynamics Studies · Epoxy Resin Curing Processes
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (23)
Show source-provided references
1. Adams$$^1$$ J, Jin Y, Barnes D, et al (2017) Simulation of the rotational moulding process using discrete element methods. In: Proceedings of the 34th international manufacturing conference
2. Arnold DN, Brezzi F, Fortin M (1984) A stable finite element for the stokes equations. Calcolo 21(4):337–34410.1007/BF02576171 ↗
3. Balay S, Abhyankar S, Adams MF et al (2025) PETSc Web page. https://petsc.org/
4. Bird RB, Armstrong RC, Hassager O (1986) Dynamics of polymeric liquids. Vol. 1: Fluid mechanics. John Wiley and Sons Inc., New York, NY
5. Brooks AN, Hughes TJ (1982) Streamline upwind/petrov-galerkin formulations for convection dominated flows with particular emphasis on the incompressible navier-stokes equations. Comput Methods Appl Mech Eng 32(1–3):199–25910.1016/0045-7825(82)90071-8 ↗
6. Castellanos D, Martin PJ, Butterfield J et al (2020) Sintering and densification of fibre reinforcement in polymers during rotational moulding. Procedia Manufact 47:980–98610.1016/j.promfg.2020.04.301 ↗
7. Coupez T (2007) Convection of local level set function for moving surfaces and interfaces in forming flow. In: AIP Conference proceedings, American Institute of Physics, pp 61–6610.1063/1.2740790 ↗
8. Coupez T (2011) Metric construction by length distribution tensor and edge based error for anisotropic adaptive meshing. J Comput Phys 230(7):2391–240510.1016/j.jcp.2010.11.041 ↗
9. Coupez T, Silva L, Hachem E (2015) Implicit boundary and adaptive anisotropic meshing. In: New challenges in grid generation and adaptivity for scientific computing. Springer, pp 1–1810.1007/978-3-319-06053-8_1 ↗
10. Digonnet H, Coupez T, Laure P et al (2019) Massively parallel anisotropic mesh adaptation. Intern J High Perform Comput Appl 33(1):3–2410.1177/1094342017693906 ↗
11. Dobrzynski C (2005) Adaptation de maillage anisotrope 3d et application à l’aéro-thermique des bâtiments. PhD thesis, Université Pierre et Marie Curie-Paris VI
12. Fernandes NM (2018) Modelling of the overmolding process. Master Thesis
13. Hamidi A, Khelladi S, Illoul L et al (2015) Modelling surface tension with smoothed particle hydrodynamics in reactive rotational moulding. Comput Fluids 118:191–20310.1016/j.compfluid.2015.06.019 ↗
14. Kohout J (2021) Modified arrhenius equation in materials science, chemistry and biology. Molecules 26(23)10.3390/molecules26237162 ↗
15. Nguyen HT, Cosson B, Lacrampe MF et al (2018) Numerical simulation of reactive polymer flow during rotational molding using smoothed particle hydrodynamics method and experimental verification. IntJ Mater Form 11(4):583–59210.1007/s12289-017-1367-2 ↗
16. Ramkumar P, Ramesh A, Alvenkar PP et al (2015) Prediction of heating cycle time in rotational moulding. Mater Today Proceed 2(4–5):3212–321910.1016/j.matpr.2015.07.116 ↗
17. Riber S (2017) Numerical methods for the simulation of continuum granular flow models. PhD thesis, Université Paris sciences et lettres
18. Rudolph N, Osswald TA (2014) Polymer rheology: fundamentals and applications. Carl Hanser Verlag GmbH Co KG10.3139/9781569905234.fm ↗
19. Seregar J, McCourt M, Kearns M et al (2020) Simulation of shrinkage and warpage of rotationally moulded polymer parts. Procedia Manufact 47:987–99010.1016/j.promfg.2020.04.303 ↗
20. Silva L, Coupez T, Digonnet H (2016) Massively parallel mesh adaptation and linear system solution for multiphase flows. Intern J Computat Fluid Dynam 30(6):431–43610.1080/10618562.2016.1223066 ↗
21. Tezduyar TE (2001) Finite element methods for flow problems with moving boundaries and interfaces. Arch Computat Meth Eng 8(2):83–13010.1007/BF02897870 ↗
22. Ville L, Silva L, Coupez T (2011) Convected level set method for the numerical simulation of fluid buckling. Int J Numer Meth Fluids 66(3):324–34410.1002/fld.2259 ↗
23. Xue T, Sun W, Adriaenssens S et al (2021) A new finite element level set reinitialization method based on the shifted boundary method. J Comput Phys 438:11036010.1016/j.jcp.2021.110360 ↗