A zonal Galerkin-free POD model for incompressible flows

Michel Bergmann 1, 2 Andrea Ferrero 1 Angelo Iollo 2, 1 Edoardo Lombardi 3 Angela Scardigli 3, 4 Haysam Telib 3
1 MEMPHIS - Modeling Enablers for Multi-PHysics and InteractionS
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
2 IMB - Institut de Mathématiques de Bordeaux
3 Optimad engineering [Torino]
4 Polito - Politecnico di Torino [Torino]
Abstract : A domain decomposition method which couples a high and a low-fidelity model is proposed to reduce the computational cost of a flow simulation. This approach requires to solve the high-fidelity model in a small portion of the computational domain while the external field is described by a Galerkin-free Proper Orthogonal Decomposition (POD) model. We propose an error indicator to determine the extent of the interior domain and to perform an optimal coupling between the two models. This zonal approach can be used to study multi-body configurations or to perform detailed local analyses in the framework of shape optimisation problems. The efficiency of the method to perform predictive low-cost simulations is investigated for an unsteady flow and for an aerodynamic shape optimisation problem.
Keywords : POD Reduced Order Model Boundary conditions Shape optimisation Galerkin-free model
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Submitted on : Tuesday, October 9, 2018 - 9:32:54 AM
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Michel Bergmann, Andrea Ferrero, Angelo Iollo, Edoardo Lombardi, Angela Scardigli, et al.. A zonal Galerkin-free POD model for incompressible flows. Journal of Computational Physics, Elsevier, 2018, 352, pp.301 - 325. ⟨10.1016/j.jcp.2017.10.001⟩. ⟨hal-01668546⟩

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