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A fast inverse heat conduction model (IHCM) is developed for estimating unknown properties of multi-layer composites considering internal heat generation. This work builds on the validated analytical forward models presented in Part I.…

Applied Physics · Physics 2025-07-10 Gan Fu , Mitrofan Curti , Calina Ciuhu , Elena A. Lomonova

In this work, we investigate the estimation of the transient mold-slab heat flux in continuous casting molds given some thermocouples measurements in the mold plates. Mathematically, we can see this problem as the estimation of a Neumann…

Numerical Analysis · Mathematics 2022-10-06 Umberto Emil Morelli , Patricia Barral , Peregrina Quintela , Gianluigi Rozza , Giovanni Stabile

Heat transfer in semiconductor devices is dominated by chip and substrate assemblies, where heat generated within a finite chip layer dissipates into a semi-infinite substrate with much higher thermophysical properties. This mismatch…

Machine Learning · Computer Science 2025-12-03 Wenhao Sha , Tienchong Chang

Urban areas are increasingly vulnerable to thermal extremes driven by rapid urbanization and climate change. Traditionally, thermal extremes have been monitored using Earth-observing satellites and numerical modeling frameworks. For…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Baris Sarper Tezcan , Hrishikesh Viswanath , Rubab Saher , Daniel Aliaga

Accurately predicting the temperature field in metal additive manufacturing (AM) processes is critical to preventing overheating, adjusting process parameters, and ensuring process stability. While physics-based computational models offer…

Machine Learning · Computer Science 2024-01-05 Pouyan Sajadi , Mostafa Rahmani Dehaghani , Yifan Tang , G. Gary Wang

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

Numerical simulation of steady-state heat conduction is common for thermal engineering. The simulation process usually involves mathematical formulation, numerical discretization and iteration of discretized ordinary or partial differential…

Applied Physics · Physics 2020-10-09 Jiang-Zhou Peng , Xianglei Liu , Nadine Aubry , Zhihua Chen , Wei-Tao Wu

In this paper, based on neural networks, we develop a data-driven model for extremely fast prediction of steady-state heat convection of a hot object with arbitrary complex geometry in a two-dimensional space. According to the governing…

Applied Physics · Physics 2021-01-12 Jiang-Zhou Peng , Xianglei Liu , Nadine Aubry , Zhihua Chen , Wei-Tao Wu

We consider the quasilinear 1D inverse heat convection problem (IHCP) of determining the enthalpy-dependent heat fluxes from noisy internal enthalpy measurements. This problem arises in the Accelerated Cooling (ACC) process of producing…

Analysis of PDEs · Mathematics 2021-05-26 Dimitri Rothermel , Thomas Schuster

When the variations of surface temperature are measured both spatially and temporally, analytical expressions that correctly account for multi-dimensional transient conduction can be applied. To enhance the accessibility of these accurate…

Instrumentation and Detectors · Physics 2024-12-03 David Buttsworth , Timothy Buttsworth

High-fidelity modeling of turbulent flows is one of the major challenges in computational physics, with diverse applications in engineering, earth sciences and astrophysics, among many others. The rising popularity of high-fidelity…

Fluid Dynamics · Physics 2019-03-06 Arvind Mohan , Don Daniel , Michael Chertkov , Daniel Livescu

Surface heat transfer in convective and radiative environments is sometimes measured by recording the surface temperature history in a transient experiment and interpreting this surface temperature with the aid of a suitable model for…

Instrumentation and Detectors · Physics 2020-05-01 David Buttsworth , Timothy Buttsworth

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

District Heating Systems are essential infrastructure for delivering heat to consumers across a geographic region sustainably, yet efficient management relies on optimizing diverse energy sources, such as wood, gas, electricity, and solar,…

We propose a novel inverse-modelling approach which estimates the parameters of a simple land-surface model (LSM) by assimilating data into a differentiable physics-based forward model. The governing equations are expressed within a…

Atmospheric and Oceanic Physics · Physics 2026-04-17 Ruiyue Huang , Claire E. Heaney , Maarten van Reeuwijk

Predicting and interpreting thermal performance under oscillating flow in porous structures remains a critical challenge due to the complex coupling between fluid dynamics and geometric features. This study introduces a data-driven…

Fluid Dynamics · Physics 2025-09-16 Lichang Zhu , Laura Schaefer , Leitao Chen , Ben Xu

Since the thermal conduction equation has form invariance under coordinate transformation, one can design thermal metamaterials with novel functions by tailoring materials' thermal conductivities. In this work, we establish a different…

Materials Science · Physics 2015-03-03 N. Q. Zhu , X. Y. Shen , J. P. Huang

Foundation models, such as CNNs and ViTs, have powered the development of image representation learning. However, general guidance to model architecture design is still missing. Inspired by the connection between image representation…

Computer Vision and Pattern Recognition · Computer Science 2025-06-16 Zhemin Zhang , Xun Gong

This paper presents a Deep Learning (DL) framework for 48-hour forecasting of temperature, solar irradiance, and relative humidity to support Model Predictive Control (MPC) in smart HVAC systems. The approach employs a stacked Bidirectional…

Machine Learning · Computer Science 2025-09-01 Georgios Vamvouras , Konstantinos Braimakis , Christos Tzivanidis

Accurate modeling of heat flux in inertial confinement fusion plasmas requires closures that remain predictive far from local equilibrium and across disparate spatial and temporal resolutions. We develop a resolution-independent…

Plasma Physics · Physics 2026-04-07 M. Luo , A. R. Bell , F. Miniati , S. M. Vinko , G. Gregori
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