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 …

Nonlinear model reduction via discrete empirical interpolation

S Chaturantabut, DC Sorensen - SIAM Journal on Scientific Computing, 2010 - SIAM
A dimension reduction method called discrete empirical interpolation is proposed and
shown to dramatically reduce the computational complexity of the popular proper orthogonal …

An online method for interpolating linear parametric reduced-order models

D Amsallem, C Farhat - SIAM Journal on Scientific Computing, 2011 - SIAM
A two-step online method is proposed for interpolating projection-based linear parametric
reduced-order models (ROMs) in order to construct a new ROM for a new set of parameter …

A state space error estimate for POD-DEIM nonlinear model reduction

S Chaturantabut, DC Sorensen - SIAM Journal on numerical analysis, 2012 - SIAM
This paper derives state space error bounds for the solutions of reduced systems
constructed using proper orthogonal decomposition (POD) together with the discrete …

Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models

M Bergmann, L Cordier - Journal of Computational Physics, 2008 - Elsevier
In this paper, optimal control theory is used to minimize the total mean drag for a circular
cylinder wake flow in the laminar regime (Re= 200). The control parameters are the …

Proper orthogonal decomposition for optimality systems

K Kunisch, S Volkwein - ESAIM: Modélisation mathématique et …, 2008 - numdam.org
Proper orthogonal decomposition (POD) is a powerful technique for model reduction of non-
linear systems. It is based on a Galerkin type discretization with basis elements created from …

Feasibility analysis of a POD-based reduced order model with application in Eulerian–Lagrangian simulations

G Duan, S Li, M Sakai - Industrial & Engineering Chemistry …, 2023 - ACS Publications
Computational fluid dynamics coupled with the discrete element method (CFD-DEM) is
widely employed for simulating multiphase flows involving particles, but the heavy …

New POD error expressions, error bounds, and asymptotic results for reduced order models of parabolic PDEs

JR Singler - SIAM Journal on Numerical Analysis, 2014 - SIAM
The derivations of existing error bounds for reduced order models of time varying partial
differential equations (PDEs) constructed using proper orthogonal decomposition (POD) …

Skip** steps in deformable simulation with online model reduction

T Kim, DL James - ACM SIGGRAPH Asia 2009 papers, 2009 - dl.acm.org
Finite element simulations of nonlinear deformable models are computationally costly,
routinely taking hours or days to compute the motion of detailed meshes. Dimensional …

Trajectory piecewise quadratic reduced-order model for subsurface flow, with application to PDE-constrained optimization

S Trehan, LJ Durlofsky - Journal of Computational Physics, 2016 - Elsevier
A new reduced-order model based on trajectory piecewise quadratic (TPWQ)
approximations and proper orthogonal decomposition (POD) is introduced and applied for …