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 …

A multifidelity deep operator network approach to closure for multiscale systems

SE Ahmed, P Stinis - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
Projection-based reduced order models (PROMs) have shown promise in representing the
behavior of multiscale systems using a small set of generalized (or latent) variables. Despite …

Domain Decomposition for Data-Driven Reduced Modeling of Large-Scale Systems

IG Farcas, RP Gundevia, R Munipalli, KE Willcox - AIAA Journal, 2024 - arc.aiaa.org
This paper focuses on the construction of accurate and predictive data-driven reduced
models of large-scale numerical simulations with complex dynamics and sparse training …

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 …

Lookahead data-gathering strategies for online adaptive model reduction of transport-dominated problems

R Singh, WIT Uy, B Peherstorfer - Chaos: An Interdisciplinary Journal …, 2023 - pubs.aip.org
Online adaptive model reduction efficiently reduces numerical models of transport-
dominated problems by updating reduced spaces over time, which leads to nonlinear …

CoLoRA: Continuous low-rank adaptation for reduced implicit neural modeling of parameterized partial differential equations

J Berman, B Peherstorfer - arXiv preprint arXiv:2402.14646, 2024 - arxiv.org
This work introduces reduced models based on Continuous Low Rank Adaptation
(CoLoRA) that pre-train neural networks for a given partial differential equation and then …

An adaptive learning strategy for surrogate modeling of high-dimensional functions-Application to unsteady hypersonic flows in chemical nonequilibrium

C Scherding, G Rigas, D Sipp, PJ Schmid… - Computer Physics …, 2025 - Elsevier
Many engineering applications rely on the evaluation of expensive, non-linear high-
dimensional functions. In this paper, we propose the RONAALP algorithm (Reduced Order …

An adaptive, training‐free reduced‐order model for convection‐dominated problems based on hybrid snapshots

V Zucatti, MJ Zahr - … Journal for Numerical Methods in Fluids, 2024 - Wiley Online Library
The vast majority of reduced‐order models (ROMs) first obtain a low dimensional
representation of the problem from high‐dimensional model (HDM) training data which is …

The role of interface boundary conditions and sampling strategies for Schwarz-based coupling of projection-based reduced order models

CR Wentland, F Rizzi, J Barnett, I Tezaur - arXiv preprint arXiv:2410.04668, 2024 - arxiv.org
This paper presents and evaluates a framework for the coupling of subdomain-local
projection-based reduced order models (PROMs) using the Schwarz alternating method …

Information theoretic clustering for coarse-grained modeling of non-equilibrium gas dynamics

C Jacobsen, I Zanardi, S Bhola, K Duraisamy… - Journal of …, 2024 - Elsevier
We present a new framework towards the objective of learning coarse-grained models
based on the maximum entropy principle. We show that existing methods for assigning …