Model order reduction on stationary and dynamical isothermal Newtonian EHD contacts - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2013

Model order reduction on stationary and dynamical isothermal Newtonian EHD contacts

Daniel Maier
  • Fonction : Auteur
  • PersonId : 769307
  • IdRef : 188869638
Corina Hager
  • Fonction : Auteur
Nicolas Fillot
Philippe Vergne
  • Fonction : Auteur
  • PersonId : 839328

Résumé

We are introducing a method to decrease the calculation time of EHD contacts. The method is based on model order reduction (MOR) techniques [1] and will be applied to a stationary and dynamical isothermal Newtonian EHD contact. The contact problem is arranged as one full system of equations [2] - including Reynolds equation with cavitation condition, elasticity equation and force balance -- and solved directly. The full system is solved iteratively by a Newton method with an active set procedure accounting for the unilateral constraints related to the chosen cavitation model. The reduction procedure is executed not only on the linear part representing the elasticity equation of the EHD contact problem [3] but also on the strongly nonlinear and parametric part given by the Reynolds equation. To cope with the cavitation condition within the reduced system, the cavitational area is separated from the computational area and the boundary between those two areas is adapted iteratively. Furthermore the costs of constructing the reduced system are cut by approximating the reduced system function and its J acobian using only a few distinguished nodes We will investigate accuracy and efliciency of the partially reduced system (only linear part), the fully reduced system and the fully reduced system with system approximation (SA) compared to the full system.

Domaines

Autre
Fichier non déposé

Dates et versions

hal-00863146 , version 1 (18-09-2013)

Identifiants

  • HAL Id : hal-00863146 , version 1

Citer

Daniel Maier, Corina Hager, Hartmut Hetzler, Nicolas Fillot, Philippe Vergne, et al.. Model order reduction on stationary and dynamical isothermal Newtonian EHD contacts. tribo-lyon2013 Conference, Sep 2013, Lyon, France. ⟨hal-00863146⟩
214 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More