Shape optimization through proper orthogonal decomposition with interpolation and dynamic mode decomposition enhanced by active subspaces
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Inclou dades d'ús des de 2022
Cita com:
hdl:2117/328883
Tipus de documentText en actes de congrés
Data publicació2019
EditorCIMNE
Condicions d'accésAccés obert
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Abstract
We propose a numerical pipeline for shape optimization in naval engineering in-
volving two different non-intrusive reduced order method (ROM) techniques. Such methods are proper
orthogonal decomposition with interpolation (PODI) and dynamic mode decomposition (DMD). The ROM
proposed will be enhanced by active subspaces (AS) as a pre-processing tool that reduce the
parameter space dimension and suggest better sampling of the input space.
We will focus on geometrical parameters describing the perturbation of a reference bulbous bow
through the free form deformation (FFD) technique. The ROM are based on a finite volume method (FV)
to simulate the multi-phase incompressible flow around the deformed hulls.
In previous works we studied the reduction of the parameter space in naval engineering
through AS [38, 10] focusing on different parts of the hull. PODI and DMD have been employed for
the study of fast and reliable shape optimization cycles on a bulbous bow in [9].
The novelty of this work is the simultaneous reduction of both the input parameter space and the
output fields of interest. In particular AS will be trained computing the total drag resistance of
a hull advancing in calm water and its gradients with respect to the input parameters. DMD will
improve the performance of each simulation of the campaign using only few snapshots of the solution
fields in order to predict the regime state of the system. Finally PODI will interpolate the
coefficients of the POD decomposition of the output fields for a fast approximation of all the
fields at new untried parameters given by the optimization algorithm. This will result in a
non-intrusive data-driven numerical optimization pipeline completely independent with respect to
the full order solver used and it can be easily incorporated into existing numerical pipelines,
from the reference CAD to the optimal shape.
CitacióTezzele, M.; Demo, N.; Rozza, G. Shape optimization through proper orthogonal decomposition with interpolation and dynamic mode decomposition enhanced by active subspaces. A: MARINE VIII. "MARINE VIII : proceedings of the VIII International Conference on Computational Methods in Marine Engineering". CIMNE, 2019, p. 122-133. ISBN 978-84-949194-3-5.
ISBN978-84-949194-3-5
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