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Travelling wavepackets are key coherent features contributing to the dynamics of several advective flows. This work introduces the Hilbert proper orthogonal decomposition (HPOD) to distil these features from flow field data, leveraging…

Fluid Dynamics · Physics 2026-04-08 Marco Raiola , Jochen Kriegseis

Efficient modeling of High Temperature Superconductors (HTSs) is crucial for real-time quench monitoring; however, full-order electromagnetic simulations remain prohibitively costly due to the strong nonlinearities. Conventional…

Computational Engineering, Finance, and Science · Computer Science 2026-02-17 Riccardo Basei , Francesco Pase , Francesco Lucchini , Francesco Toso , Riccardo Torchio

An equation based reduced order model applicable to generalized heat equation and thermal simulations of power electronics systems developed in commercial CFD tools, is presented in this work. The model considers the physics of heat…

Numerical Analysis · Mathematics 2024-04-26 Neelakantan Padmanabhan

The nuclear community has coupled several three-dimensional Computational Fluid Dynamics (CFD) solvers with one-dimensional system thermal-hydraulic (STH) codes. This work proposes to replace the CFD solver by a reduced order model (ROM) to…

Fluid Dynamics · Physics 2020-10-21 S. Kelbij Star , Giuseppe Spina , Francesco Belloni , Joris Degroote

A thermal simulation methodology derived from the proper orthogonal decomposition (POD) and the Galerkin projection (GP), hereafter referred to as PODTherm-GP, is evaluated in terms of its efficiency and accuracy in a multi-core CPU. The GP…

Computational Engineering, Finance, and Science · Computer Science 2023-05-04 Lin Jiang , Anthony Dowling , Ming-C. Cheng , Yu Liu

Minimization of energy in gradient systems leads to formation of oscillatory and Turing patterns in reaction-diffusion systems. These patterns should be accurately computed using fine space and time meshes over long time horizons to reach…

Numerical Analysis · Mathematics 2018-11-28 Tuğba Akman Yıldız , Murat Uzunca , Bülent Karasözen

In this work, we design and analyze a novel, provably conditionally stable, weakly coupled partitioned scheme to solve the conjugate heat transfer (CHT) problem. We consider a model CHT problem consisting of linear advection-diffusion and…

Numerical Analysis · Mathematics 2026-02-23 Sarah Nataj , David C. Del Rey Fernández , David Brown , Rajeev Jaiman

This article presents and assesses a framework for estimating temperature fields in real time for food-freezing applications, significantly reducing computational load while ensuring accurate temperature monitoring, which represents a…

Numerical Analysis · Mathematics 2025-06-03 Felipe Galarce , Diego Rivera , Douglas Pacheco , Alfonso Caiazzo , Ernesto Castillo

In order to solve the problem of the difficult direct measurement of temperature field in fluid machinery under high-speed compressible conditions, this study combines high-order finite difference numerical format, Weighted Essentially…

Fluid Dynamics · Physics 2023-08-01 Ruquan You , Shuming Zhang , Tinglin Kong , Haiwang Li

The Markov entropy decomposition (MED) is a recently-proposed, cluster-based simulation method for finite temperature quantum systems with arbitrary geometry. In this paper, we detail numerical algorithms for performing the required steps…

Statistical Mechanics · Physics 2013-05-29 Andrew J. Ferris , David Poulin

In this work a numerical model for two-dimensional axisymmetric continuous freezing by impingement of processed meat or similar products in food industry moving along a conveyor belt is presented. The model represents a more computationally…

Fluid Dynamics · Physics 2020-01-29 Evaldas Greiciunas , Federico Municchi , Nicodemo Di Pasquale , Matteo Icardi

Linear reduced-order modeling (ROM) is widely used for efficient simulation of deformation dynamics, but its accuracy is often limited by the fixed linearization of the reduced mapping. We propose a new adaptive strategy for linear ROM that…

Graphics · Computer Science 2025-10-01 Yutian Tao , Maurizio Chiaramonte , Pablo Fernandez

Hamiltonian Operator Inference has been introduced in [Sharma, H., Wang, Z., Kramer, B., Physica D: Nonlinear Phenomena, 431, p.133122, 2022] to learn structure-preserving reduced-order models (ROMs) for Hamiltonian systems. This approach…

Numerical Analysis · Mathematics 2024-05-10 Yuwei Geng , Jasdeep Singh , Lili Ju , Boris Kramer , Zhu Wang

This work introduces an empirical quadrature-based hyperreduction procedure and greedy training algorithm to effectively reduce the computational cost of solving convection-dominated problems with limited training. The proposed approach…

Numerical Analysis · Mathematics 2023-09-14 Marzieh Alireza Mirhoseini , Matthew J. Zahr

This paper focuses on a new framework for reduced order modelling of non-intrusive data with application to 2D flows. To overcome the shortcomings of intrusive model order reduction usually derived by combining the POD and the Galerkin…

Numerical Analysis · Mathematics 2016-11-16 D. A. Bistrian , I. M. Navon

In this paper, we present an Online Generalized Multiscale Finite Element Method(Online GMsFEM) for heat and mass transfer problem in heterogeneous media with artificial ground freezing pipes. The mathematical model of the process is based…

Numerical Analysis · Mathematics 2022-05-31 Denis Spiridonov , Sergei Stepanov , Vasil`ev Vasiliy

State estimation is key to both analyzing physical mechanisms and enabling real-time control of fluid flows. A common estimation approach is to relate sensor measurements to a reduced state governed by a reduced-order model (ROM). (When…

Fluid Dynamics · Physics 2020-06-10 Nirmal J. Nair , Andres Goza

The basis generation in reduced order modeling usually requires multiple high-fidelity large-scale simulations that could take a huge computational cost. In order to accelerate these numerical simulations, we introduce a FOM/ROM hybrid…

Numerical Analysis · Mathematics 2021-03-17 Lihong Feng , Guosheng Fu , Zhu Wang

We introduce Guided Harmonic Path-Integral Diffusion (GH-PID), a linearly-solvable framework for guided Stochastic Optimal Transport (SOT) with a hard terminal distribution and soft, application-driven path costs. A low-dimensional guidance…

Machine Learning · Computer Science 2025-12-16 Michael Chertkov

Additive manufacturing, or 3D printing, is a complex process that creates free-form geometric objects by sequentially placing material to construct an object, usually in a layer-by-layer process. One of the most widely used methods is Fused…

Robotics · Computer Science 2025-10-24 Travis A. Roberts , Sourabh Karmakar , Cameron J. Turner