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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

A stochastic inverse heat transfer problem is formulated to infer the transient heat flux, treated as an unknown Neumann boundary condition. Therefore, an Ensemble-based Simultaneous Input and State Filtering as a Data Assimilation…

Numerical Analysis · Mathematics 2024-03-01 Kabir Bakhshaei , Umberto Emil Morelli , Giovanni Stabile , Gianluigi Rozza

Ensemble data assimilation techniques form an indispensable part of numerical weather prediction. As the ensemble size grows and model resolution increases, the amount of required storage becomes a major issue. Data compression schemes may…

The thermal management of cryogenic storage tanks requires advanced control strategies to minimize the boil-off losses produced by heat leakages and sloshing-enhanced heat and mass transfer. This work presents a data-assimilation approach…

Fluid Dynamics · Physics 2025-04-02 Pedro Afonso Marques , Samuel Ahizi , Miguel Alfonso Mendez

In data assimilation, the model may be subject to uncertainties and errors. The weak-constraint data assimilation framework enables incorporating model uncertainty in the dynamics of the governing equations. We propose a new framework for…

Numerical Analysis · Mathematics 2025-12-23 Alen Alexanderian , Hugo Díaz , Vishwas Rao , Arvind K. Saibaba

This paper develops a computational framework for optimizing the parameters of data assimilation systems in order to improve their performance. The approach formulates a continuous meta-optimization problem for parameters; the…

Computational Engineering, Finance, and Science · Computer Science 2015-06-16 Alexandru Cioaca , Adrian Sandu

Low-order thermoacoustic models are qualitatively correct, but they are typically quantitatively inaccurate. We propose a time-domain bias-aware method to make qualitatively low--order models quantitatively (more) accurate. First, we…

Fluid Dynamics · Physics 2022-11-10 Andrea Nóvoa , Luca Magri

For manufacturing of aerospace composites, several parts may be processed simultaneously using convective heating in an autoclave. Due to uncertainties including tool placement, convective Boundary Conditions (BCs) vary in each run. As a…

Machine Learning · Computer Science 2021-07-20 Keith D. Humfeld , Dawei Gu , Geoffrey A. Butler , Karl Nelson , Navid Zobeiry

Precise temperature measurements on systems of few ultracold atoms is of paramount importance in quantum technologies, but can be very resource-intensive. Here, we put forward an adaptive Bayesian framework that substantially boosts the…

Optimal experimental design is a classic topic in statistics, with many well-studied problems, applications, and solutions. The design problem we study is the placement of sensors to monitor spatiotemporal processes, explicitly accounting…

Methodology · Statistics 2026-01-05 Daniel Waxman , Fernando Llorente , Katia Lamer , Petar M. Djurić

We consider data assimilation for the heat equation using a finite element space semi-discretization. The approach is optimization based, but the design of regularization operators and parameters rely on techniques from the theory of…

Numerical Analysis · Mathematics 2016-09-19 Erik Burman , Lauri Oksanen

This study evaluates a data assimilation framework based on reduced-order modeling (ROM-DA), complemented by a hybrid data-filling strategy, to reconstruct dynamic temperature fields in a phase-change-material (PCM) integrated solar chimney…

Numerical Analysis · Mathematics 2025-10-21 Diego R. Rivera , Ernesto Castillo , Felipe Galarce , Douglas R. Q. Pacheco

Sensor placement for linear inverse problems is the selection of locations to assign sensors so that the entire physical signal can be well recovered from partial observations. In this paper, we propose a fast sampling algorithm to place…

Signal Processing · Electrical Eng. & Systems 2021-10-08 Fen Wang , Gene Cheung , Taihao Li , Ying Du , Yu-Ping Ruan

We develop an optimal experimental design framework for adapting the covariance inflation and localization in data assimilation problems. Covariance inflation and localization are ubiquitously employed to alleviate the effect of using…

Computational Engineering, Finance, and Science · Computer Science 2019-03-26 Ahmed Attia , Emil Constantinescu

We propose a nonlinear optimization model for determining the optimum lot size and reorder point for a food item distributed through a cold warehouse as well as the optimum quality features, namely temperature, humidity, packaging type, and…

Optimization and Control · Mathematics 2024-01-19 Atena Karimi , Omid Ghorbani , Reza Tashakkori , Seyed Hamid Reza Pasandideh , Milad Jasemi

A seismic wavefield reconstruction framework based on compressed sensing using the data-driven reduced-order model (ROM) is proposed and its characteristics are investigated through numerical experiments. The data-driven ROM is generated…

Data assimilation plays a crucial role in modern weather prediction, providing a systematic way to incorporate observational data into complex dynamical models. The paper addresses continuous data assimilation for a model arising as a…

Analysis of PDEs · Mathematics 2026-02-03 Eduard Feireisl , Piotr Gwiazda , Agnieszka Świerczewska-Gwiazda

We investigate the theoretical foundations of the simulated tempering method and use our findings to design efficient algorithms. Employing a large deviation argument first used for replica exchange molecular dynamics [Plattner et al., J.…

Chemical Physics · Physics 2019-02-08 Anton Martinsson , Jianfeng Lu , Benedict Leimkuhler , Eric Vanden-Eijnden

We study different approaches to implementing sparse-in-time observations into the the Azouani-Olson-Titi data assimilation algorithm. We propose a new method which introduces a "data assimilation window" separate from the observational…

Analysis of PDEs · Mathematics 2023-03-08 Adam Larios , Yuan Pei , Collin Victor

Before reflow soldering of integrated electronic products, the numerical simulation of temperature control curve of reflow furnace is crucial for selecting proper parameters and improving the overall efficiency of reflow soldering process…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Yuan Sui , Fan-yang Bu , Zi-long Shao , Wei Yan
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