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Related papers: Simulation of Heat Conduction in Complex Domains o…

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For most finite element simulations, boundary-conforming meshes have significant advantages in terms of accuracy or efficiency. This is particularly true for complex domains. However, with increased complexity of the domain, generating a…

Numerical Analysis · Mathematics 2021-04-07 Jan Helmig , Fabian Key , Marek Behr , Stefanie Elgeti

This article reports on the efficiency of a co-located diffuse approximation method coupled with a projection algorithm for the solution of two and three-dimensional incompressible flow equations. Three typical examples show the accuracy of…

Numerical Analysis · Mathematics 2021-03-04 Stéphane Couturier , Hamou Sadat

Existing algorithms with iterations as the principle for 3D inverse heat conduction problems (IHCPs) are usually time-consuming. With the recent advancements in deep learning techniques, it is possible to apply the neural network to compute…

Computational Engineering, Finance, and Science · Computer Science 2021-07-07 Yinpeng Wang , Nianru Wang , Qiang Ren

We present a new approach for the two-temperature molecular dynamics (MD) model for coupled simulations of electronic and phonon heat conduction in nanoscale systems. The proposed method uses a master equation to perform heat conduction of…

Computational Physics · Physics 2019-09-04 Mohammad W. Ullah , Mauricio Ponga

This study compares different methods to predict the simultaneous effects of conductive and radiative heat transfer in a Polymethylmethacrylate (PMMA) sample. PMMA is a kind of polymer utilized in various sensors and actuator devices.…

Machine Learning · Computer Science 2022-04-20 Mahsa Dehghan Manshadi , Nima Alafchi , Alireza Taat , Milad Mousavi , Amir Mosavi

We numerically investigate the internal evolution of multiphase clouds, which are at rest with respect to an ambient, highly ionized medium (HIM) representing the hot component of the circumgalactic medium (CGM). Time-dependent saturated…

Astrophysics of Galaxies · Physics 2022-12-14 Bastian Sander , Gerhard Hensler

We develop and test high-order methods for integration on surface point clouds. The task of integrating a function on a surface arises in a range of applications in engineering and the sciences, particularly those involving various integral…

Numerical Analysis · Mathematics 2026-03-12 Daniel R. Venn , Steven J. Ruuth

In recent years, commercial HTS superconductors have gained an increasing interest for their use in applications involving large-scale superconductor systems. These systems are typically made from hundreds to thousands of turns of…

Computational Physics · Physics 2018-10-15 Edgar Berrospe-Juarez , Victor M. R. Zermeno , Frederic Trillaud , Francesco Grilli

When modelling phase change, the latent heat released (absorbed) during solidification (melting) must be included in the heat transfer equation. In this paper, different SPH methods for the implementation of latent heat, in the context of…

Fluid Dynamics · Physics 2018-02-21 Amirsaman Farrokhpanah , Markus Bussmann , Javad Mostaghimi

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

Many macroscopic non-Fourier heat conduction models have been developed in the past decades based on Chapman-Enskog, Hermite or other small perturbation expansion methods. These macroscopic models have made great success on capturing…

Computational Physics · Physics 2024-08-05 Leheng Chen , Chuang Zhang , Jin Zhao

Heat diffusion has been widely used in brain imaging for surface fairing, mesh regularization and cortical data smoothing. Motivated by diffusion wavelets and convolutional neural networks on graphs, we present a new fast and accurate…

Computer Vision and Pattern Recognition · Computer Science 2020-01-20 Shih-Gu Huang , Ilwoo Lyu , Anqi Qiu , Moo K. Chung

This paper presents a steady-state and transient heat conduction analysis framework using the polygonal scaled boundary finite element method (PSBFEM) with polygon/quadtree meshes. The PSBFEM is implemented with commercial finite element…

Numerical Analysis · Mathematics 2021-06-24 Yang Yang , Zongliang Zhang , Yelin Feng , Yuzhen Yu , Kun Wang , Lihui Liang

The problem of heat conduction on networks of multiply connected rods is solved by providing an explicit solution of the one-dimensional heat equation in each domain. The size and connectivity of the rods is known, but neither temperature…

Analysis of PDEs · Mathematics 2016-04-11 N. E. Sheils , D. A. Smith

The numerical simulation of large-scale multiphase flow in porous media is of considerable importance across various application fields, particularly in the petroleum industry. The fully implicit method is preferred in reservoir simulations…

Numerical Analysis · Mathematics 2026-04-13 Shizhe Li , Li Zhao , Chen-Song Zhang

As integrated circuits continue to scale down and adopt three-dimensional (3D) stacking, thermal management in the back-end-of-line (BEOL) has emerged as a critical design constraint. In this study, we present a combined experimental and…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Yang Shen , Shangzhi Song , Tao Chen , Kexin Zhang , Yu Chen , Lu Zhao , Puqing Jiang

We developed a combined atomistic-continuum hierarchical multiscale approach to explore the effective thermal conductivity of graphene laminates. To this aim, we first performed molecular dynamics simulations in order to study the heat…

Materials Science · Physics 2017-04-07 B Mortazavi , T Rabczuk

Meshless methods are commonly used to determine numerical solutions to partial differential equations (PDEs) for problems involving free surfaces and/or complex geometries, approximating spatial derivatives at collocation points via local…

Numerical Analysis · Mathematics 2025-10-24 H. Broadley , J. R. C. King , S. J. Lind

We present a novel hybrid incompressible flow/material point method solver for simulating the combustion of flammable solids. Our approach utilizes a sparse grid representation of solid materials in the material point method portion of the…

Graphics · Computer Science 2024-08-15 Victoria Kala , Jingyu Chen , David Hyde , Alexey Stomakhin , Joseph Teran

This paper proposes a novel higher-order multi-scale (HOMS) computational method, which is highly targeted for efficient, high-accuracy and low-computational-cost simulation of hygro-thermo-mechanical (H-T-M) coupling problems in…

Numerical Analysis · Mathematics 2025-12-11 Hao Dong , Yifei Ding , Jiale Linghu , Yufeng Nie , Yaochuang Han