Efficiency improvement of discrete-ordinates method for interfacial phonon transport by Gauss-Legendre integral for frequency domain

摘要

The thermal conduction through interfaces plays an important role for optimization and new designs in micro/nano energy system. However, the available knowledge and understanding on the physical picture of phonon transport at interfaces are still insufficient. The discrete-ordinates method (DOM) has been recently applied to solve the equation of phonon radiative transfer (EPRT) but it still suffers from expensive computational cost, especially with interfaces of different materials. In the present work, we introduce the Gauss-Legendre quadrature for frequency domain to improve the efficiency of discrete-ordinates method between heterogeneous materials over the uniform discretization scheme. The present scheme is verified for cross-plane interfacial phonon transport, with comparisons with both theoretical solution and kinetic-type Monte Carlo method. One to two orders of magnitude improvements on CPU time have been obtained numerically. (C) 2019 Elsevier Inc. All rights reserved.