Accélération des calculs pour la simulation du laminage à pas de pèlerin en utilisant la méthode multimaillages

Abstract : This work aims at speeding-up the calculations of the numerical simulation of the cold pilgering process. To this end, it is focused on a Parallel Multiphysics Multimesh (MMP) method that bas been implemented in the Forge® code; this method is dedicated to speeding-up the calculations for processes in which the deformation is localized within a small area of the computational domain. A locally refined mesh is used to solve the mechanical equations while a uniformly refined mesh serves as basic mesh to store state variables and is preferred for thermal calculations. The mechanical computations being the most expensive, reducing the number of nodes of its mesh provides high speed-ups. To effectively apply MMP method to cold pilgering process, many important aspects have been taken into account. Firstly the complex geometry of the tube requires the development of a special mesh coarsening technique, in order to ensure a maximum coarsening while guaranteeing a suitable mesh for calculations. A technique using a cylindrical anisotropic metric is then introduced. Afterwards, with the elastoplastic behaviour law used for the considered process, inaccuracies were observed on the stress field. They are mainly due to the numerical diffusion generated by the different transfers operations of P0 variables (constant per element) from the thermal mesh to the mechanical one. To remedy this issue, an approach combining two techniques has been developed. Firstly state variables are directly updated on the mechanical mesh, instead of doing it on the thermal mesh before transferring them on the the mechanical mesh. The second technique consists in using a P0 transfer operator based on super convergent recovery (SPR) technique, which improves the accuracy of the transported field through introduction of higher order recovered fields. High speed-ups are obtained on the studied cold pilgering cases, up to a factor 6,5 for the resolution of the thermomechanical problem, and the global simulation speed-up is up to a factor of 3,2, on a mesh with about 70 000 nodes in sequential calculations. For parallel calculations performances slightly drop but remain quite good.
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Koffi Woloe Kpodzo. Accélération des calculs pour la simulation du laminage à pas de pèlerin en utilisant la méthode multimaillages. Autre. Ecole Nationale Supérieure des Mines de Paris, 2014. Français. ⟨NNT : 2014ENMP0007⟩. ⟨pastel-01038003⟩

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