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This work presents an efficient numerical method based on spectral expansions for simulation of heat and moisture diffusive transfers through multilayered porous materials. Traditionally, by using the finite-difference approach, the problem…

Computational Engineering, Finance, and Science · Computer Science 2020-02-20 Suelen Gasparin , Denys Dutykh , Nathan Mendes

Structural system identification in the presence of thermal loads is challenging, as unmeasured or poorly modeled thermal effects can mask or mimic damage, leading to unreliable conclusions. This work presents an optimization-driven,…

Optimization and Control · Mathematics 2026-03-11 Talhah Shamshad Ali Ansari , Suneth Warnakulasuriya , Ihar Antonau , Harbir Antil , Rainald Löhner , Roland Wüchner

The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but…

Numerical Analysis · Mathematics 2016-12-23 Natalie E. Sheils

Numerical simulations for 2-D unsteady, incompressible flow with heat transfer in a four-sided lid-driven rectangular domain are reported in the present study. For the four-sided lid-driven rectangular domain, the lower wall is moved to the…

Fluid Dynamics · Physics 2017-05-03 V. Ambethkar , Durgesh Kushawaha

The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but…

Mathematical Physics · Physics 2016-04-11 Bernard Deconinck , Beatrice Pelloni , Natalie Sheils

Classical multi-scale methods involving two spatial scales face significant challenges when simulating heterogeneous structures with complicated three-scale spatial configurations. This study proposes an innovative higher-order three-scale…

Numerical Analysis · Mathematics 2025-12-11 Hao Dong , Yanqi Wang , Jiale Linghu , Qiang Ma

Conjugate heat transfer is a challenging fluid-structure coupling problem that can significantly influence flame stabilization and thermoacoustic instabilities. To properly capture combustion phenomena that involve conjugate heat transfer,…

Fluid Dynamics · Physics 2024-12-19 Lu Chen , Wai Lee Chan , Yu Lv

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

Several engineering applications involve complex materials with significant and discontinuous variations in thermophysical properties. These include materials for thermal storage, biological tissues with blood capillaries, etc. For such…

Numerical Analysis · Mathematics 2022-09-07 Naman Bartwal , Shantanu Shahane , Somnath Roy , Surya Pratap Vanka

The numerical simulation of fluid flow through a complex geometry with heat transfer is of strong interest for many applications, such as oil-filled power transformers. A fundamental challenge here is that high resolution is necessary to…

Computational Physics · Physics 2020-10-19 Ole H. H. Meyer , Karl Yngve Lervåg , Åsmund Ervik

This paper focuses on the numerical solution of a dual-phase-lag heat conduction equation on a space unbounded domain. First, based on the Laplace transform and the Pad\'e approximation, a high-order local artificial boundary condition is…

Numerical Analysis · Mathematics 2025-11-10 Weiping Bu , Zhengfang Xie , Yushi Wang

This work proposes an extension of phase change and latent heat models for the simulation of metal powder bed fusion additive manufacturing processes on the macroscale and compares different models with respect to accuracy and numerical…

Computational Engineering, Finance, and Science · Computer Science 2021-09-07 Sebastian D. Proell , Wolfgang A. Wall , Christoph Meier

The thermal dynamics in thermo-mechanical systems exhibits a much slower time scale compared to the structural dynamics. In this work, we use the method of multiple scales to reduce the thermo-mechanical structural models with a…

Computational Engineering, Finance, and Science · Computer Science 2019-10-25 Shobhit Jain , Paolo Tiso

The recent results attained from a thermodynamically conceived numerical scheme applied on wave propagation in viscoelastic/rheological solids are generalized here, both in the sense that the scheme is extended to four spacetime dimensions…

Classical Physics · Physics 2024-03-08 Áron Pozsár , Mátyás Szücs , Róbert Kovács , Tamás Fülöp

High fidelity simulations, e.g., large eddy simulation are often needed for accurately predicting pressure losses due to wake mixing in turbomachinery applications. An unsteady adjoint of such high fidelity simulations is useful for design…

Fluid Dynamics · Physics 2015-11-24 Chaitanya Talnikar , Qiqi Wang , Gregory M. Laskowski

Context: Thermal conductivity provides important contributions to the energy evolution of the upper solar atmosphere, behaving as a non-linear concentration-dependent diffusion equation. Recently, different methods have been offered as…

Solar and Stellar Astrophysics · Physics 2024-12-11 George Cherry , Boris Gudiksen , Mikolaj Szydlarski

Frequently, the design of physicochemical processes requires screening of large numbers of alternative designs with complex geometries. These geometries may result in conformal meshes which introduce stability issues, significant…

Computational Physics · Physics 2021-01-19 E. J. Monte , J. Lowman , N. M. Abukhdeir

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

This paper investigates an induction heating problem in a multi-component system containing a moving non-magnetic conductor. The electromagnetic process is described by the eddy current model, and the heat transfer process is governed by…

Numerical Analysis · Mathematics 2024-10-10 Van Chien Le , Marián Slodička , Karel Van Bockstal

We consider the Dirichlet-Neumann iteration for partitioned simulation of thermal fluid-structure interaction, also called conjugate heat transfer. We analyze its convergence rate for two coupled fully discretized 1D linear heat equations…

Numerical Analysis · Mathematics 2017-05-16 Azahar Monge , Philipp Birken