Adjoint-based deviational Monte Carlo methods for phonon transport calculations
Name
PhysRevB.91.235321.pdf
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1.35 MB
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Adobe PDF
Checksum (MD5)
075e9723b8858251e575adf933770ad3
Author(s)
Peraud, Jean-Philippe Michel
Hadjiconstantinou, Nicolas
Date Issued
June 2015
Journal
Physical Review B
Publisher
American Physical Society
Citation
Peraud, Jean-Philippe M., and Nicolas G. Hadjiconstantinou. "Adjoint-based deviational Monte Carlo methods for phonon transport calculations." Phys. Rev. B 91, 235321 (June 2015). © 2015 American Physical Society
Version
Final published version
Abstract
In the field of linear transport, adjoint formulations exploit linearity to derive powerful reciprocity relations between a variety of quantities of interest. In this paper, we develop an adjoint formulation of the linearized Boltzmann transport equation for phonon transport. We use this formulation for accelerating deviational Monte Carlo simulations of complex, multiscale problems. Benefits include significant computational savings via direct variance reduction, or by enabling formulations which allow more efficient use of computational resources, such as formulations which provide high resolution in a particular phase-space dimension (e.g., spectral). We show that the proposed adjoint-based methods are particularly well suited to problems involving a wide range of length scales (e.g., nanometers to hundreds of microns) and lead to computational methods that can calculate quantities of interest with a cost that is independent of the system characteristic length scale, thus removing the traditional stiffness of kinetic descriptions. Applications to problems of current interest, such as simulation of transient thermoreflectance experiments or spectrally resolved calculation of the effective thermal conductivity of nanostructured materials, are presented and discussed in detail.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.91.235321
