On closures for reduced order models—A spectrum of first-principle to machine-learned avenues

SE Ahmed, S Pawar, O San, A Rasheed, T Iliescu… - Physics of …, 2021 - pubs.aip.org
For over a century, reduced order models (ROMs) have been a fundamental discipline of
theoretical fluid mechanics. Early examples include Galerkin models inspired by the Orr …

Front transport reduction for complex moving fronts: Nonlinear model reduction for an advection–reaction–diffusion equation with a Kolmogorov–Petrovsky–Piskunov …

P Krah, S Büchholz, M Häringer, J Reiss - Journal of scientific computing, 2023 - Springer
This work addresses model order reduction for complex moving fronts, which are
transported by advection or through a reaction–diffusion process. Such systems are …

A data-driven reconstruction method for dynamic systems with multistable property

J Qian, X Sun, J Xu - Nonlinear Dynamics, 2023 - Springer
Abstract In this work, Sparse Identification of Nonlinear Dynamics (SINDy) algorithm is
generalized to nonlinear dynamic systems with multistable property. This study comes from …

A self-adaptive method for mapping coastal bathymetry on-the-fly from wave field video

M Gawehn, S de Vries, S Aarninkhof - Remote Sensing, 2021 - mdpi.com
Mapping coastal bathymetry from remote sensing becomes increasingly more attractive for
the coastal community. It is facilitated by a rising availability of drone and satellite data …

Investigations on Projection-Based Reduced-Order Model Development for Rotating Detonation Engine

R Camacho, C Huang - AIAA Journal, 2024 - arc.aiaa.org
The current study aims to evaluate and investigate the development of projection-based
reduced-order models (ROMs) for efficient and accurate rotating detonation engine (RDE) …

[图书][B] Energy-based model reduction of transport-dominated phenomena

P Schulze - 2023 - search.proquest.com
Transport-dominated systems are characterized by the propagation of waves and occur in
many applications such as aerodynamics and chemical engineering. To predict the …

Discovering differential governing equations of hysteresis dynamic systems by data-driven sparse regression method

J Qian, X Sun, J Xu, L Cheng - Nonlinear Dynamics, 2024 - Springer
Hysteresis phenomenon widely exists in various metamaterials and smart actuators.
Governing equations can describe and predict the static/dynamic behavior of the systems …

Nonlinear mode decomposition of combustion instabilities under various jet-to-crossflow momentum ratios in a hydrogen-rich ram combustor using a deep Koopman …

K Omi, K Nakayama, K Hirose, K Takizawa… - Combustion and …, 2024 - Elsevier
The excitation mechanism of the thermoacoustic combustion instability (TCI) in a hydrogen-
rich ram combustor was investigated experientially, focusing on the effects of jet-to-crossflow …

Quantum support vector machines for aerodynamic classification

XJ Yuan, ZQ Chen, YD Liu, Z Xie, YZ Liu… - Intelligent …, 2023 - spj.science.org
Aerodynamics plays an important role in the aviation industry and aircraft design. Detecting
and minimizing the phenomenon of flow separation from scattered pressure data on the …

Convolutional neural networks for problems in transport phenomena: A theoretical minimum

A Bhasin, A Mistry - Journal of Flow Visualization and Image …, 2023 - dl.begellhouse.com
Convolutional neural network (CNN), a deep learning algorithm, has gained popularity in
technological applications that rely on interpreting images (typically, an image is a 2D field …