Open AccessToward “green” mechanical simulations in materials science
Author(s) -
David Ryckelynck,
Djamel Missoum-Benziane,
Andrey I. Musienko,
Georges Cailletaud
Publication year - 2010
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/ejcm.19.365-388
Subject(s) - reduction (mathematics) , computer science , computational science , computational model , computational complexity theory , selection (genetic algorithm) , basis (linear algebra) , simulation , mathematics , algorithm , artificial intelligence , geometry
Because of the developpement of materials science, there is a need to reduce the computational complexity of mechanical models. This paper aims to show that the Hyper Reduction method enables to reduce computational resources used for numerical simulations. Large mechanical models involving distributed nonlinearities require parallel computers to solve the governing equations related to these models. The proposed Hyper Reduction of such models provides reduced governing equations that enable simulations on a single-processor computer. This is achieved by using a reduced-basis and a selection of equilibrium equations of the detailed model. The use of a single processor during less time enables to save an amazing amount of the electrical energy during the numerical simulation.