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Article Dans Une Revue COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering Année : 2020

FEM using projection of physical properties suitable for movement modeling and optimization processes

Résumé

Purpose - Optimization processes and movement modeling usually require a high number of simulations. The authors propose to reduce global central processing unit (CPU) time by decreasing each evaluation time. Design/Methodology/Approach - Remeshing the geometry at each iteration is avoided in the proposed method. The idea consists in using a fixed mesh on which functions are projected in order to represent geometry and supply. Finding - Results are very promising. Central processing unit (CPU) time is reduced for three dimensional problems by almost a factor two, keeping a low relative deviation from usual methods. CPU time saving is doable by avoiding meshing step, and with a better initialization of iterative resolution. Optimization, movement modeling and transient-state simulation are very efficient and give the same results as the usual FE method. Research limitations implications - The method is restricted to simple geometry due to the difficulty of finding spatial mathematical function describing the geometry. Moreover, a compromise between imprecison-caused by the boundary evaluation-and time saving must be found. Originality/Value - The method can be applied to optimize the design of rotating machines. Moreover, movement modeling is performed by shifting functions corresponding to moving parts.
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Dates et versions

hal-03021862 , version 1 (24-11-2020)

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Baptiste Ristagno, Dominique Giraud, Julien Fontchastagner, Denis Netter, Noureddine Takorabet, et al.. FEM using projection of physical properties suitable for movement modeling and optimization processes. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2020, 39 (5), pp.1185-1199. ⟨10.1108/COMPEL-01-2020-0022⟩. ⟨hal-03021862⟩
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