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This paper develops an interpretable, non-intrusive reduced-order modeling technique using regularized kernel interpolation. Existing non-intrusive approaches approximate the dynamics of a reduced-order model (ROM) by solving a data-driven…

Computational Engineering, Finance, and Science · Computer Science 2026-01-26 Alejandro N Diaz , Shane A McQuarrie , John T Tencer , Patrick J Blonigan

We propose a numerical pipeline for shape optimization in naval engineering involving two different non-intrusive reduced order method (ROM) techniques. Such methods are proper orthogonal decomposition with interpolation (PODI) and dynamic…

Numerical Analysis · Mathematics 2019-05-15 Marco Tezzele , Nicola Demo , Gianluigi Rozza

A data-driven, model-free framework is introduced for calculating Reduced-Order Models (ROMs) capable of accurately predicting time-mean responses to external forcings, or forcings needed for specified responses, e.g., for control, in fully…

Fluid Dynamics · Physics 2018-09-07 M. A. Khodkar , Pedram Hassanzadeh

Traditional projection-based reduced-order modeling approximates the full-order model by projecting it onto a linear subspace. With a fast-decaying Kolmogorov $n$-width of the solution manifold, the resulting reduced-order model (ROM) can…

Numerical Analysis · Mathematics 2026-03-27 Lijie Ji , Sabrina Rashid , Yanlai Chen , Zhu Wang

Multiple model reduction techniques have been proposed to tackle linear and non linear problems. Intrusive model order reduction techniques exhibit high accuracy levels, however, they are rarely used as a standalone industrial tool, because…

Computational Engineering, Finance, and Science · Computer Science 2025-04-10 Mikhael Tannous , Chady Ghnatios , Eivind Fonn , Trond Kvamsdal , Francisco Chinesta

The radiative transfer equation (RTE) is a fundamental mathematical model to describe physical phenomena involving the propagation of radiation and its interactions with the host medium. Deterministic methods can produce accurate solutions…

Numerical Analysis · Mathematics 2025-12-18 Kimberly Matsuda , Yanlai Chen , Yingda Cheng , Fengyan Li

We present parameter-interpolated dynamic mode decomposition (piDMD), a parametric reduced-order modeling framework that embeds known parameter-affine structure directly into the DMD regression step. Unlike existing parametric DMD methods…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Ananda Chakrabarti , Haitham H. Saleh , Indranil Nayak , Balasubramaniam Shanker , Fernando L. Teixeira , Debdipta Goswami

This paper proposes a systematic and novel component level co-rotational (CR) framework, for upgrading existing 3D continuum finite elements to flexible multibody analysis. Without using any model reduction techniques, the high efficiency…

Computational Physics · Physics 2024-03-19 Ziyun Kan , Mingdong Chen , Haijun Peng , Yizhu Guo , Xueguan Song

The goal of this paper is to assess the utility of Reduced-Order Models (ROMs) developed from 3D physics-based models for predicting transient thermal power output for an enhanced geothermal reservoir while explicitly accounting for…

Computational Engineering, Finance, and Science · Computer Science 2018-06-18 M. K. Mudunuru , S. Karra , D. R. Harp , G. D. Guthrie , H. S. Viswanathan

This paper formulates, analyzes, and demonstrates numerically a method for the partitioned solution of coupled interface problems involving combinations of projection-based reduced order models (ROM) and/or full order methods (FOMs). The…

Numerical Analysis · Mathematics 2023-08-29 Amy de Castro , Pavel Bochev , Paul Kuberry , Irina Tezaur

The present study proposes a data-driven framework trained with high-fidelity simulation results to facilitate decision making for combustor designs. At its core is a surrogate model employing a machine-learning technique called kriging,…

Computational Engineering, Finance, and Science · Computer Science 2017-09-25 Shiang-Ting Yeh , Xingjian Wang , Chih-Li Sung , Simon Mak , Yu-Hung Chang , Liwei Zhang , C. F. Jeff Wu , Vigor Yang

Reduced-order models (ROMs) are often used to accelerate the simulation of large physical systems. However, traditional ROM techniques, such as those based on proper orthogonal decomposition (POD), often struggle with advection-dominated…

Numerical Analysis · Mathematics 2025-11-07 Toby van Gastelen , Wouter Edeling , Benjamin Sanderse

High-fidelity simulation of nonequilibrium plasmas -- crucial to applications in electric propulsion, hypersonic re-entry, and astrophysical flows -- requires state-specific collisional-radiative (CR) kinetic models, but these come at a…

Computational Physics · Physics 2025-06-25 Ivan Zanardi , Alessandro Meini , Alberto Padovan , Daniel J. Bodony , Marco Panesi

Advanced Manufacturing (AM) has gained significant interest in the nuclear community for its potential application on nuclear materials. One challenge is to obtain desired material properties via controlling the manufacturing process during…

Machine Learning · Statistics 2023-08-21 Mahmoud Yaseen , Dewen Yushu , Peter German , Xu Wu

In this paper, we present a generic approach of a dynamical data-driven model order reduction technique for three-dimensional fluid-structure interaction problems. A low-order continuous linear differential system is identified from…

Computational Engineering, Finance, and Science · Computer Science 2023-01-25 Claire Dupont , Florian De Vuyst , Anne-Virginie Salsac

This article presents a general reduced order model (ROM) framework for addressing fluid dynamics problems involving time-dependent geometric parametrisations. The framework integrates Proper Orthogonal Decomposition (POD) and Empirical…

Fluid Dynamics · Physics 2024-05-07 J. R. Bravo , G. Stabile , M. Hess , J. A. Hernandez , R. Rossi , G. Rozza

Cardiovascular diseases are a leading cause of death in the world, driving the development of patient-specific and benchmark models for blood flow analysis. This chapter provides a theoretical overview of the main categories of Reduced…

Numerical Analysis · Mathematics 2025-10-21 Pierfrancesco Siena , Pasquale Claudio Africa , Michele Girfoglio , Gianluigi Rozza

In this contribution, a novel Reduced Order Model (ROM) formulation of the grey-box model proposed in Elkhashap et al. (2020a) for the pharmaceutical continuous vibrated fluid bed dryer (VFBD) is presented. The ROM exploits the…

Systems and Control · Electrical Eng. & Systems 2022-06-14 Ahmed Elkhashap , Dirk Abel

Model order reduction (MOR) is an important step in the design process of integrated circuits. Specifically, the electromagnetic models extracted from modern complex designs result in a large number of passive elements that introduce…

Numerical Analysis · Mathematics 2023-11-16 Christos Giamouzis , Dimitrios Garyfallou , Anastasis Vagenas , Nestor Evmorfopoulos

This work presents a data-driven reduced-order modeling framework to accelerate the computations of $N$-body dynamical systems and their pair-wise interactions. The proposed framework differs from traditional acceleration methods, like the…

Computational Engineering, Finance, and Science · Computer Science 2022-04-13 Steven N. Rodriguez , Athanasios P. Iliopoulos , Kevin T. Carlberg , Steven L. Brunton , John C. Steuben , John G. Michopoulos