Fast-Converging and Asymptotic-Preserving Simulation of Frequency Domain Thermoreflectance

Liu，Jia; Wu，Lei

2023

10.4208/cicp.OA-2023-0053

Communications in Computational Physics   Impact Factor & Quartile

1815-2406

1991-7120

The heat conduction under fast external excitation exists in many experiments measuring the thermal conductivity in solids, which is described by the phonon Boltzmann equation, i.e., the Callaway’s model with dual relaxation times. Such a kinetic system has two spatial Knudsen numbers related to the resistive and normal scatterings, and one temporal Knudsen number determined by the external oscillation frequency. Thus, it is a challenge to develop an efficient numerical method. Here we first propose the general synthetic iterative scheme (GSIS) to solve the phonon Boltzmann equation, with the fast-converging and asymptotic-preserving properties: (i) the solution can be found within dozens of iterations for a wide range of Knudsen numbers and frequencies, and (ii) the solution is accurate when the spatial cell size in the bulk region is much larger than the phonon mean free path. Then, we investigate how the heating frequency affects the heat conduction in different transport regimes.

Frequency domain thermoreflectance general synthetic iterative scheme phonon Boltzmann equation

SCI

English

First ; Corresponding

Physics

Physics, Mathematical

WOS:001060173400004

GLOBAL SCIENCE PRESS

2-s2.0-85170427530

Scopus

Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China

Liu，Jia,Wu，Lei. Fast-Converging and Asymptotic-Preserving Simulation of Frequency Domain Thermoreflectance[J]. Communications in Computational Physics,2023,34(1):65-93.

Liu，Jia,&Wu，Lei.(2023).Fast-Converging and Asymptotic-Preserving Simulation of Frequency Domain Thermoreflectance.Communications in Computational Physics,34(1),65-93.

Liu，Jia,et al."Fast-Converging and Asymptotic-Preserving Simulation of Frequency Domain Thermoreflectance".Communications in Computational Physics 34.1(2023):65-93.