Parallel reverse time integration and reduced order models

Bijan Mohammadi (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

We discuss complexity issues in time dependent adjoint evaluation. We address the question of storage complexity and redundant calculation of intermediate states in adjoint calculations for time dependent flows. Parallel in time solutions are introduced in reverse time integration together with reduced order modelling for the recovery of intermediate forward states between checkpoints. The approach is illustrated on an identification problem from partial macroscopic variables fields observations and also in the context of shape sensitivity evaluation in fluids for the pressure and viscous drag coefficients.

Mots clés: discrete adjoint; meta model; uncertainty; contour identification; LBM; shape optimization; parallel time reversal

Domaines: Modélisation et simulation

Bijan Mohammadi. Parallel reverse time integration and reduced order models. Journal of Computational Mathematics -International Edition-, 2015, 1, pp.5-28. ⟨10.5802/smai-jcm.2⟩. ⟨hal-01133466⟩