A review on design of experiments and surrogate models in aircraft real-time and many-query aerodynamic analyses

R Yondo, E Andrés, E Valero - Progress in aerospace sciences, 2018 - Elsevier
Full scale aerodynamic wind tunnel testing, numerical simulation of high dimensional (full-
order) aerodynamic models or flight testing are some of the fundamental but complex steps …

Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

K Lee, KT Carlberg - Journal of Computational Physics, 2020 - Elsevier
Nearly all model-reduction techniques project the governing equations onto a linear
subspace of the original state space. Such subspaces are typically computed using methods …

CROM: Continuous reduced-order modeling of PDEs using implicit neural representations

PY Chen, J **ang, DH Cho, Y Chang… - arxiv preprint arxiv …, 2022 - arxiv.org
The long runtime of high-fidelity partial differential equation (PDE) solvers makes them
unsuitable for time-critical applications. We propose to accelerate PDE solvers using …

Symplectic model reduction of Hamiltonian systems on nonlinear manifolds and approximation with weakly symplectic autoencoder

P Buchfink, S Glas, B Haasdonk - SIAM Journal on Scientific Computing, 2023 - SIAM
Classical model reduction techniques project the governing equations onto linear
subspaces of the high-dimensional state-space. For problems with slowly decaying …

Data‐driven model order reduction of quadratic‐bilinear systems

IV Gosea, AC Antoulas - Numerical Linear Algebra with …, 2018 - Wiley Online Library
We introduce a data‐driven model order reduction approach that represents an extension of
the Loewner framework for linear and bilinear systems to the case of quadratic‐bilinear (QB) …

Surrogate modeling of electrical machine torque using artificial neural networks

M Tahkola, J Keränen, D Sedov, MF Far… - IEEE …, 2020 - ieeexplore.ieee.org
Machine learning and artificial neural networks have shown to be applicable in modeling
and simulation of complex physical phenomena as well as creating surrogate models …

[PDF][PDF] Reachability analysis of non-linear hybrid systems using taylor models

X Chen - 2015 - 137.226.34.227
With the ubiquitous use of computers in controlling physical systems, it requires to have a
new formalism that could model both continuous flows and discrete jumps. Hybrid systems …

Model reduction for the material point method via an implicit neural representation of the deformation map

PY Chen, MM Chiaramonte, E Grinspun… - Journal of Computational …, 2023 - Elsevier
This work proposes a model-reduction approach for the material point method on nonlinear
manifolds. Our technique approximates the kinematics by approximating the deformation …

Symplectic model reduction of Hamiltonian systems on nonlinear manifolds

P Buchfink, S Glas, B Haasdonk - arxiv preprint arxiv:2112.10815, 2021 - arxiv.org
Classical model reduction techniques project the governing equations onto linear
subspaces of the high-dimensional state-space. For problems with slowly decaying …

Deep learning assisted surrogate modeling of large-scale power grids

A Hamid, D Rafiq, SA Nahvi, MA Bazaz - Sustainable Energy, Grids and …, 2023 - Elsevier
The model order reduction (MOR) enterprise has shown unprecedented applications in the
area of power systems by allowing tractable and realistic simulations of complex power …