Adjoint-based deviational Monte Carlo methods for phonon transport calculations
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...
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/97602 https://orcid.org/0000-0001-9070-6231 https://orcid.org/0000-0002-1670-2264 |
| _version_ | 1826191003811315712 |
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| author | Peraud, Jean-Philippe Michel Hadjiconstantinou, Nicolas |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Peraud, Jean-Philippe Michel Hadjiconstantinou, Nicolas |
| author_sort | Peraud, Jean-Philippe Michel |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T08:48:36Z |
| format | Article |
| id | mit-1721.1/97602 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:48:36Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/976022022-09-23T14:41:41Z Adjoint-based deviational Monte Carlo methods for phonon transport calculations Peraud, Jean-Philippe Michel Hadjiconstantinou, Nicolas Massachusetts Institute of Technology. Department of Mechanical Engineering Peraud, Jean-Philippe Michel Hadjiconstantinou, Nicolas 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. United States. Dept. of Energy. Office of Science (Solid-State Solar-Thermal Energy Conversion Center Award DE-FG02-09ER46577) United States. Dept. of Energy. Office of Science (Solid-State Solar-Thermal Energy Conversion Center Award DE-SC0001299) 2015-07-01T15:32:53Z 2015-07-01T15:32:53Z 2015-06 2015-06 2015-06-30T22:00:08Z Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/97602 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 https://orcid.org/0000-0001-9070-6231 https://orcid.org/0000-0002-1670-2264 en http://dx.doi.org/10.1103/PhysRevB.91.235321 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Peraud, Jean-Philippe Michel Hadjiconstantinou, Nicolas Adjoint-based deviational Monte Carlo methods for phonon transport calculations |
| title | Adjoint-based deviational Monte Carlo methods for phonon transport calculations |
| title_full | Adjoint-based deviational Monte Carlo methods for phonon transport calculations |
| title_fullStr | Adjoint-based deviational Monte Carlo methods for phonon transport calculations |
| title_full_unstemmed | Adjoint-based deviational Monte Carlo methods for phonon transport calculations |
| title_short | Adjoint-based deviational Monte Carlo methods for phonon transport calculations |
| title_sort | adjoint based deviational monte carlo methods for phonon transport calculations |
| url | http://hdl.handle.net/1721.1/97602 https://orcid.org/0000-0001-9070-6231 https://orcid.org/0000-0002-1670-2264 |
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