Comparison of two nonlinear model reduction techniques: the modal identification method and the branch eigenmodes reduction method

Etienne Videcoq (1) , Alain Neveu (1) , Olivier Quemener (1) , Manuel Girault , Daniel Petit (2)

1 LMEE - Laboratoire de Mécanique et d'Energétique d'Evry
2 LET - Laboratoire d'études thermiques

This article schows the comparison of two modal techniques, the modal identification method and the branck eigenmodes reduction method. The objecte of these methods is to reduce the number of states representing the system evolution in order to decrease the computational time necessary for the simulation. After a presentation of both techniques, a comparison is made on a 3-D nonlinear transient thermal diffusive system. Results given by the two reduced are compared to those givenby the detailed model. The accuracy of both reduced, as well as the gain in computational time, are analyzed for each configuration.

Domaines: Thermique [physics.class-ph]

Etienne Videcoq, Alain Neveu, Olivier Quemener, Manuel Girault, Daniel Petit. Comparison of two nonlinear model reduction techniques: the modal identification method and the branch eigenmodes reduction method. Numerical Heat Transfer, Part B, 2006, 49 (6), pp.537-558. ⟨10.1080/10407790500344035⟩. ⟨hal-00118803⟩