Parallel reverse time integration and reduced order models

Bijan Mohammadi

doi:10.5802/smai-jcm.2

Bijan Mohammadi ¹

¹ Montpellier University, Mathematics, CC51, 34095 Montpellier, France

The SMAI Journal of computational mathematics, Volume 1 (2015), pp. 5-28.

Abstract

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.

DOI: 10.5802/smai-jcm.2

Classification: 65Y00, 65Y05, 68W10, 35Q93, 90C52
Keywords: LBM, discrete adjoint, meta model, uncertainty, contour identification, shape optimization, parallel time reversal.

Author's affiliations:

Bijan Mohammadi ¹

¹ Montpellier University, Mathematics, CC51, 34095 Montpellier, France

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Bijan Mohammadi. Parallel reverse time integration and reduced order models. The SMAI Journal of computational mathematics, Volume 1 (2015), pp. 5-28. doi : 10.5802/smai-jcm.2. https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.2/

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