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A Space-Time Discontinuous Galerkin Method for Convection and Diffusion in Injection Moulding

Abstract : In this article, we investigate a space-time finite element method for solving the convection-diffusion-reaction equation. This method is based on a discontinuous Galerkin technique using low order elements in space and high order elements in time. The suggested method is applied to solve the transport equation and the heat equation in 3D mould filling. An original mixed approach is investigated to solve the steady diffusion equation. The proposed numerical scheme is validated through analytical examples, and then applied to 3D industrial simulations in injection moulding process. Several examples show that the computed solutions are stable, robust and fast.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00614585
Contributor : Magalie Prudon <>
Submitted on : Friday, August 12, 2011 - 2:48:21 PM
Last modification on : Thursday, September 24, 2020 - 5:22:54 PM

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Serge Batkam, Julien Bruchon, Thierry Coupez. A Space-Time Discontinuous Galerkin Method for Convection and Diffusion in Injection Moulding. International Journal of Forming Processes, 2004, 7 (1-2), pp.Pages 11-33. ⟨10.3166/ijfp.7.11-33⟩. ⟨hal-00614585⟩

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