Model identification of reduced order fluid dynamics systems using deep learning

Z Wang, D Xiao, F Fang, R Govindan… - … Methods in Fluids, 2018 - Wiley Online Library
This paper presents a novel model reduction method: deep learning reduced order model,
which is based on proper orthogonal decomposition and deep learning methods. The deep …

Surrogate modeling of elasto-plastic problems via long short-term memory neural networks and proper orthogonal decomposition

S Im, J Lee, M Cho - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
Because of its nonlinearity and path-dependency, analysis of the elasto-plastic behavior of
the finite element (FE) model is computationally expensive. By directly learning sequential …

A parameterized non-intrusive reduced order model and error analysis for general time-dependent nonlinear partial differential equations and its applications

D Xiao, F Fang, CC Pain, IM Navon - Computer Methods in Applied …, 2017 - Elsevier
A novel parameterized non-intrusive reduced order model (P-NIROM) based on proper
orthogonal decomposition (POD) has been developed. This P-NIROM is a generic and …

Domain-decomposition least-squares Petrov–Galerkin (DD-LSPG) nonlinear model reduction

C Hoang, Y Choi, K Carlberg - Computer methods in applied mechanics …, 2021 - Elsevier
A novel domain-decomposition least-squares Petrov–Galerkin (DD-LSPG) model-reduction
method applicable to parameterized systems of nonlinear algebraic equations (eg, arising …

A one-shot overlapping Schwarz method for component-based model reduction: application to nonlinear elasticity

A Iollo, G Sambataro, T Taddei - Computer Methods in Applied Mechanics …, 2023 - Elsevier
We propose a component-based (CB) parametric model order reduction (pMOR) formulation
for parameterized nonlinear elliptic partial differential equations (PDEs) based on …

[HTML][HTML] Development of a reduced-order model for large-scale Eulerian–Lagrangian simulations

S Li, G Duan, M Sakai - Advanced Powder Technology, 2022 - Elsevier
Multiphase flows with solid particles are commonly encountered in various industries. The
CFD–DEM method is extensively used to simulate their dynamical behavior. However, the …

The Schwarz alternating method for the seamless coupling of nonlinear reduced order models and full order models

J Barnett, I Tezaur, A Mota - arXiv preprint arXiv:2210.12551, 2022 - arxiv.org
Projection-based model order reduction allows for the parsimonious representation of full
order models (FOMs), typically obtained through the discretization of certain partial …

Application of proper generalized decomposition to multigroup neutron diffusion eigenvalue calculations

ZM Prince, JC Ragusa - Progress in Nuclear Energy, 2020 - Elsevier
In this paper, proper generalized decomposition (PGD) is utilized to reduce the
computational burden of evaluating multigroup neutron diffusion eigenvalue problems. PGD …

A non-overlapping optimization-based domain decomposition approach to component-based model reduction of incompressible flows

T Taddei, X Xu, L Zhang - Journal of Computational Physics, 2024 - Elsevier
We present a component-based model order reduction procedure to efficiently and
accurately solve parameterized incompressible flows governed by the Navier-Stokes …

Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases

A de Castro, P Bochev, P Kuberry, I Tezaur - Computer Methods in Applied …, 2023 - Elsevier
This paper formulates, analyzes and demonstrates numerically a method for the explicit
partitioned solution of coupled interface problems involving combinations of projection …