Elements Finis Deformables Applicables aux Problemes d'Aerodynamique Interne (Deformable Finite Elements Applicable to Internal Aerodynamic Problems)

摘要

The computerized simulation of internal aerodynamics systems by the finite element method is studied and the criteria to determine the quality of the solving algorithms are discussed. A method characterized by the joint optimization of the value and position of the independent variables associated to the computation nodes is presented. In the presence of pure convection operators the method behaves in a completely Lagrangian way, identifying nodes to particles. Examples of the time evolution of convection-diffusion problems are presented. The error estimations are shown to be overvalued, which is considered to be a safety factor.