Review for order reduction based on proper orthogonal decomposition and outlooks of applications in mechanical systems
K Lu, Y **, Y Chen, Y Yang, L Hou, Z Zhang… - … Systems and Signal …, 2019 - Elsevier
This paper presents a review of proper orthogonal decomposition (POD) methods for order
reduction in a variety of research areas. The historical development and basic mathematical …
reduction in a variety of research areas. The historical development and basic mathematical …
A Review of Model Order Reduction Methods for Large‐Scale Structure Systems
K Lu, K Zhang, H Zhang, X Gu, Y **, S Zhao… - Shock and …, 2021 - Wiley Online Library
The large‐scale structure systems in engineering are complex, high dimensional, and
variety of physical mechanism couplings; it will be difficult to analyze the dynamic behaviors …
variety of physical mechanism couplings; it will be difficult to analyze the dynamic behaviors …
Promoting global stability in data-driven models of quadratic nonlinear dynamics
Modeling realistic fluid and plasma flows is computationally intensive, motivating the use of
reduced-order models for a variety of scientific and engineering tasks. However, it is …
reduced-order models for a variety of scientific and engineering tasks. However, it is …
[BOOK][B] Higher order dynamic mode decomposition and its applications
JM Vega, S Le Clainche - 2020 - books.google.com
Higher Order Dynamic Mode Decomposition and Its Applications provides detailed
background theory, as well as several fully explained applications from a range of industrial …
background theory, as well as several fully explained applications from a range of industrial …
Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier–Stokes equation
We generalize the POD-based Galerkin method for post-transient flow data by incorporating
Navier–Stokes equation constraints. In this method, the derived Galerkin expansion …
Navier–Stokes equation constraints. In this method, the derived Galerkin expansion …
A stabilized POD model for turbulent flows over a range of Reynolds numbers: Optimal parameter sampling and constrained projection
We present a reduced basis technique for long-time integration of parametrized
incompressible turbulent flows. The new contributions are threefold. First, we propose a …
incompressible turbulent flows. The new contributions are threefold. First, we propose a …
Stabilization of projection-based reduced order models for linear time-invariant systems via optimization-based eigenvalue reassignment
A new approach for stabilizing unstable reduced order models (ROMs) for linear time-
invariant (LTI) systems through an a posteriori post-processing step applied to the algebraic …
invariant (LTI) systems through an a posteriori post-processing step applied to the algebraic …
Stabilization of projection-based reduced order models of the Navier–Stokes
A new method of stabilizing low-order, proper orthogonal decomposition based reduced-
order models of the Navier–Stokes equations is proposed. Unlike traditional approaches …
order models of the Navier–Stokes equations is proposed. Unlike traditional approaches …
A reduced order modeling method based on GNAT-embedded hybrid snapshot simulation
This paper presents a method to embed the Gauss–Newton approximated tensor (GNAT)
reduced order model (ROM) into the hybrid snapshot simulation to enhance generation …
reduced order model (ROM) into the hybrid snapshot simulation to enhance generation …
Full and reduced order aerothermoelastic modeling of built-up aerospace panels in high-speed flows
This paper describes an effort to apply current structural, thermal, and fluid reduced order
modeling methodologies (ROMs) to multi-disciplinary interaction problems that are of …
modeling methodologies (ROMs) to multi-disciplinary interaction problems that are of …