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To deal with the ill-posed nature of the inverse heat conduction problem (IHCP), the regularization parameter alpha can be incorporated into a minimization problem, which is known as Tikhonov regularization method, a popular technique to…

Numerical Analysis · Mathematics 2021-10-05 C. Ahn , C. Park , DI. Park , JG. Kim

A good understanding of the heat transfer in fused filament fabrication is crucial for an accurate stress prediction and subsequently for repetitive, high quality printing. This work focuses on two challenges that have been presented when…

Numerical Analysis · Mathematics 2023-05-09 Nathalie Ramos , Christoph Mittermeier , Josef Kiendl

We present a numerical method for the solution of interfacial growth governed by the Stefan model coupled with incompressible fluid flow. An algorithm is presented which takes special care to enforce sharp interfacial conditions on the…

Fluid Dynamics · Physics 2022-10-19 Elyce Bayat , Raphael Egan , Daniil Bochkov , Alban Sauret , Frederic Gibou

We present a new analytic expression for the heat current through a general harmonic network coupled with Ohmic reservoirs. We use a new method that enables us to express the stationary state of the network in terms of the eigenvectors and…

Quantum Physics · Physics 2015-06-22 Nahuel Freitas , Juan Pablo Paz

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

Thermal errors in machine tools significantly impact machining precision and productivity. Traditional thermal error correction/compensation methods rely on measured temperature-deformation fields or on transfer functions. Most existing…

Machine Learning · Computer Science 2025-10-07 C. Coelho , M. Hohmann , D. Fernández , L. Penter , S. Ihlenfeldt , O. Niggemann

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

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

Purpose - This paper presents a first step toward developing a comprehensive methodology for fully resolved numerical simulations of fusion deposition modeling. Design/methodology/approach - A front-tracking/finite volume method previously…

Fluid Dynamics · Physics 2018-08-03 Huanxiong Xia , Jiacai Lu , Sadegh Dabiri , Gretar Tryggvason

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

This paper analyzes a transient thermo-electromagnetic problem arising in the modeling of induction heating processes. Unlike previous studies that focused on steady-state scenarios, we consider a time-dependent thermal problem coupled with…

Numerical Analysis · Mathematics 2026-04-29 D. Gómez , B. López-Rodríguez , P. Salgado , P. Venegas

Heat losses through the building envelope is one of the key factors in the calculation of the building energy balance. If steady-state heat conduction is observed, which is commonly used to assess the heat losses in building, there is an…

Computational Engineering, Finance, and Science · Computer Science 2020-10-27 Sanjin Gumbarević , Bojan Milovanović , Mergim Gaši , Marina Bagarić

Computational modeling of the melt pool dynamics in laser-based powder bed fusion metal additive manufacturing (PBF-LB/M) promises to shed light on fundamental mechanisms of defect generation. These processes are accompanied by rapid…

Computational Engineering, Finance, and Science · Computer Science 2026-03-05 Nils Much , Magdalena Schreter-Fleischhacker , Peter Munch , Martin Kronbichler , Wolfgang A. Wall , Christoph Meier

A mathematical model allowing coupled hygro-thermo-mechanical analysis of spalling in concrete walls at high temperatures by means of the moving boundary problem is presented. A simplified mechanical approach to account for effects of…

Computational Engineering, Finance, and Science · Computer Science 2015-02-13 Michal Beneš , Radek Štefan

From the final and interior temperature measurements identifying the source term with initial temperature simultaneously is an inverse heat conduction problem which is a kind of ill-posed. The optimal control framework has been found to be…

Analysis of PDEs · Mathematics 2020-06-16 Arzu Erdem Coşkun

Considering high-temperature heating, the equations of transient heat conduction model require an adaptation, i.e. the dependence of thermophysical parameters of the model on the temperature is to be identified for each specific material to…

Systems and Control · Electrical Eng. & Systems 2022-07-04 Zhukov Petr , Glushchenko Anton , Fomin Andrey

The estimation of wall thermal properties by \emph{in situ} measurement enables to increase the reliability of the model predictions for building energy efficiency. Nevertheless, retrieving the unknown parameters has an important…

Computational Engineering, Finance, and Science · Computer Science 2021-11-18 Julien Berger , Benjamin Kadoch

Results are presented for the numerical verification of a method devised to identify an unknown spatio-temporal distribution of heat flux that occurs at the surface of thin aluminum plate, as a result of pulsed, high-power laser beam…

Computational Physics · Physics 2025-10-21 Karol Pietrak , Radosław Muszyński , Adam Marek , Piotr Łapka

This work deals with the problem of determining a non-homogeneous heat conductivity profile in a steady-state heat conduction boundary-value problem with mixed Dirichlet-Neumann boundary conditions over a bounded domain in $\mathbb{R}^n$,…

Numerical Analysis · Mathematics 2022-08-25 Angel A. Ciarbonetti , Sergio Idelsohn , Ruben D. Spies

Next generation architectures necessitate a shift away from traditional workflows in which the simulation state is saved at prescribed frequencies for post-processing analysis. While the need to shift to in~situ workflows has been…

Computational Engineering, Finance, and Science · Computer Science 2015-08-20 Maher Salloum , Janine C. Bennett , Ali Pinar , Ankit Bhagatwala , Jacqueline H. Chen