Proper orthogonal decomposition with high number of linear constraints for aerodynamical shape optimization

DOI10.1016/j.amc.2014.09.068zbMath1338.76042OpenAlexW2057064618MaRDI QIDQ297878

Rajan Filomeno Coelho, Pierre Villon, Manyu Xiao, Piotr Breitkopf, Wei-Hong Zhang

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.068

zbMATH Keywords

proper orthogonal decompositionshape optimizationconstrained projector

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) General aerodynamics and subsonic flows (76G25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Topological methods for optimization problems in solid mechanics (74P15) Flow control and optimization for compressible fluids and gas dynamics (76N25) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (4)

Non-linearly stable reduced-order models for incompressible flow with energy-conserving finite volume methods ⋮ `On-the-fly' snapshots selection for proper orthogonal decomposition with application to nonlinear dynamics ⋮ Extended co-Kriging interpolation method based on multi-fidelity data ⋮ Acceleration of shape optimization analysis using model order reduction by Karhunen-Loève expansion

Cites Work

• Bi-level model reduction for coupled problems: application to a 3D wing
• Model reduction by CPOD and Kriging: application to the shape optimization of an intake port
• A priori hyperreduction method: an adaptive approach
• Constrained proper orthogonal decomposition based on QR-factorization for aerodynamical shape optimization
• Reduction of substructural interface degrees of freedom in flexibility-based component mode synthesis
• Partitioning based reduced order modelling approach for transient analyses of large structures

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