Numerical simulation of frontal polymerization

  • Thierry Dumont Université Lyon

Abstract

Frontal polymerization has been studied for many years experimentally and theoretically. This technique can exhibit a phase change between a liquid monomer and a solid polymer and many studies, both theoretical and experimental, have been devoted to the stability of the front which separates the two phases in the presence of thermal convection. We present here a new technique for the numerical simulation of this process which takes account of the chemical reaction, the phase transition and the hydrodynamics; it is based on the method of characteristics and a fictitious domain method. These two methods are known, but the coupling of them and the application to this problem is new. We also present and discuss some results of simulations.

Keywords

References

[1] S.N. Bakhvalov. Solution of the Stokes non stationary problems by the fictitious domain method. Russ. J. Numer. Anal. Math. Modeling, 10(3): 163- 172, 1995.
[2] M. Bazile, T. Dumont, H.A. Nichols, J.A. Pojman, V. Volpert. The effect of orientation on a propagating front with a solid product. Submitted to Chaos, 1999.
[3] M. Bercovier, O. Pironneau, V. Sastri. Finite elements and characteristics for some parabolic-hyperbolic problems. Appl. Math. Modelling, 7(2): 89- 96, 1983.
[4] K. Boukir. Méthodes en temps d'ordre élevé par décomposition d'opérateurs. Application aux équations de Navier-Stokes. Thesis, Universite Paris 6, 1993.
[5] K. Boukir, Y. Maday, B. Métivet, E. Razafindrakoto. High-order characteristics/finite element method for the incompressible Navier-Stokes equations. Internat. J. Numer. Methods Fluids., 25(12): 1421- 1454, 1997.
Published
Apr 3, 2023
How to Cite
DUMONT, Thierry. Numerical simulation of frontal polymerization. Computer Assisted Methods in Engineering and Science, [S.l.], v. 7, n. 3, p. 363-316, apr. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1241>. Date accessed: 03 july 2024.
Section
Articles