A review of simulation methods in micro/nanoscale heat conduction

H Bao, J Chen, X Gu, B Cao - ES Energy & Environment, 2018 - espublisher.com
Significant progress has been made in the past two decades about the micro/nanoscale
heat conduction. Many computational methods have been developed to accommodate the …

Boltzmann transport equation based modeling of phonon heat conduction: progress and challenges

S Mazumder - Annual Review of Heat Transfer, 2021 - dl.begellhouse.com
Heat conduction in crystalline materials occurs primarily due to propagating vibrational
waves, quantized as phonons. At submicron scales, the phonon mean free paths are often …

[图书][B] Non-Fourier Heat Conduction

AI Zhmakin - 2023 - Springer
The Fourier heat conduction model is valid for most macroscopic problems. However, it fails
when the wave nature of the heat propagation or the time lags become dominant and the …

Large-scale parallel computation of the phonon Boltzmann transport equation

SA Ali, G Kollu, S Mazumder, P Sadayappan… - International journal of …, 2014 - Elsevier
Non-equilibrium heat conduction, as occurring in modern-day sub-micron semiconductor
devices, can be predicted effectively using the Boltzmann Transport Equation (BTE) for …

Finite element analysis of transient ballistic–diffusive phonon heat transport in two-dimensional domains

S Hamian, T Yamada, M Faghri, K Park - International Journal of Heat and …, 2015 - Elsevier
While sub-continuum heat conduction becomes more important as the size of
micro/nanodevices keeps shrinking under the mean free path of heat carriers, its …

Hybrid ballistic–diffusive solution to the frequency-dependent phonon Boltzmann transport equation

P Allu, S Mazumder - International Journal of Heat and Mass Transfer, 2016 - Elsevier
Abstract The phonon Boltzmann Transport Equation (BTE) is appropriate for modeling heat
conduction in semiconductor materials at the nanoscale. However, the BTE is difficult to …

Extraction of thermal conductivity using phonon Boltzmann Transport Equation based simulation of frequency domain thermo-reflectance experiments

S Saurav, S Mazumder - International Journal of Heat and Mass Transfer, 2023 - Elsevier
Abstract The multidimensional phonon Boltzmann Transport Equation (BTE) was solved
numerically in cylindrical coordinates and in time domain to simulate a Frequency Domain …

Distributed memory code generation for mixed irregular/regular computations

M Ravishankar, R Dathathri, V Elango… - Proceedings of the 20th …, 2015 - dl.acm.org
Many applications feature a mix of irregular and regular computational structures. For
example, codes using adaptive mesh refinement (AMR) typically use a collection of regular …

On the determination of thermal conductivity from frequency domain thermoreflectance experiments

S Saurav, S Mazumder - Journal of Heat Transfer, 2022 - asmedigitalcollection.asme.org
The Fourier and the hyperbolic heat conduction equations were solved numerically to
simulate a frequency-domain thermoreflectance (FDTR) experiment. Numerical solutions …

An efficient two-step Monte Carlo method for heat conduction in nanostructures

YC Hua, BY Cao - Journal of computational physics, 2017 - Elsevier
Research on the heat conduction in nanostructures has drawn much attention due to their
potential applications in thermoelectric devices. Although the phonon tracing Monte Carlo …