Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction

J Barnett, C Farhat - Journal of Computational Physics, 2022 - Elsevier
A quadratic approximation manifold is presented for performing nonlinear, projection-based,
model order reduction (PMOR). It constitutes a departure from the traditional affine subspace …

A non‐linear non‐intrusive reduced order model of fluid flow by auto‐encoder and self‐attention deep learning methods

R Fu, D Xiao, IM Navon, F Fang, L Yang… - International Journal …, 2023 - Wiley Online Library
This paper presents a new nonlinear non‐intrusive reduced‐order model (NL‐NIROM) that
outperforms traditional proper orthogonal decomposition (POD)‐based reduced order model …

Active manifold and model-order reduction to accelerate multidisciplinary analysis and optimization

G Boncoraglio, C Farhat - AIAA Journal, 2021 - arc.aiaa.org
A computational framework is proposed for efficiently solving multidisciplinary analysis and
optimization (MDAO) problems in a relatively high-dimensional design parameter space. It …

A multifidelity approach coupling parameter space reduction and nonintrusive POD with application to structural optimization of passenger ship hulls

M Tezzele, L Fabris, M Sidari… - … Journal for Numerical …, 2023 - Wiley Online Library
Nowadays, the shipbuilding industry is facing a radical change toward solutions with a
smaller environmental impact. This can be achieved with low emissions engines, optimized …

Piecewise-global nonlinear model order reduction for pde-constrained optimization in high-dimensional parameter spaces

G Boncoraglio, C Farhat - SIAM Journal on Scientific Computing, 2022 - SIAM
This paper introduces the concept of a database of piecewise-global, nonlinear, projection-
based reduced-order models and intertwines it with that of an active subspace. The result is …

A local approach to parameter space reduction for regression and classification tasks

F Romor, M Tezzele, G Rozza - arXiv preprint arXiv:2107.10867, 2021 - arxiv.org
Parameter space reduction has been proved to be a crucial tool to speed-up the execution
of many numerical tasks such as optimization, inverse problems, sensitivity analysis, and …

Active manifold and model reduction for multidisciplinary analysis and optimization

G Boncoraglio, C Farhat - AIAA Scitech 2021 Forum, 2021 - arc.aiaa.org
View Video Presentation: https://doi. org/10.2514/6.2021-1694. vid A computational
framework is proposed for efficiently solving multidisciplinary analysis and optimization …

[图书][B] Clustering Approaches for Faster Nonlinear Projection-Based Model Order Reduction

SL Anderson - 2023 - search.proquest.com
Numerical simulation of large-scale nonlinear dynamical systems, such as those resulting
from the discretization of partial differential equations like the Navier-Stokes equation, is …

[图书][B] Model order reduction for multidisciplinary design optimization in higher-dimensional parameter spaces

G Boncoraglio - 2021 - search.proquest.com
This thesis introduces a new framework for solving optimization problems efficiently in
higher-dimensional parameter spaces constrained by partial differential equations (PDEs) …

[HTML][HTML] A two-step fluid–structure approach for the vibration analysis of flexible propeller blade

Q Rakotomalala, L Rouleau, C Leblond… - Journal of Fluids and …, 2024 - Elsevier
In this paper, a numerical approach able to evaluate the sound power emitted by a non-
cavitating flexible marine propeller blade is proposed. With asymptotic expansions and …