Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM)
Linearizations of the spherical harmonic discrete ordinate method (SHDOM) by means of a forward and a forward-adjoint approach are presented. Essentially, SHDOM is specialized for derivative calculations and radiative transfer problems involving the delta-M approximation, the TMS correction, and the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-05-01
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| Series: | Atmosphere |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4433/10/6/292 |
| _version_ | 1818337256897773568 |
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| author | Adrian Doicu Dmitry S. Efremenko |
| author_facet | Adrian Doicu Dmitry S. Efremenko |
| author_sort | Adrian Doicu |
| collection | DOAJ |
| description | Linearizations of the spherical harmonic discrete ordinate method (SHDOM) by means of a forward and a forward-adjoint approach are presented. Essentially, SHDOM is specialized for derivative calculations and radiative transfer problems involving the delta-M approximation, the TMS correction, and the adaptive grid splitting, while practical formulas for computing the derivatives in the spherical harmonics space are derived. The accuracies and efficiencies of the proposed methods are analyzed for several test problems. |
| first_indexed | 2024-12-13T14:52:20Z |
| format | Article |
| id | doaj.art-22e8b2618e0a441893652d89244bf55e |
| institution | Directory Open Access Journal |
| issn | 2073-4433 |
| language | English |
| last_indexed | 2024-12-13T14:52:20Z |
| publishDate | 2019-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Atmosphere |
| spelling | doaj.art-22e8b2618e0a441893652d89244bf55e2022-12-21T23:41:18ZengMDPI AGAtmosphere2073-44332019-05-0110629210.3390/atmos10060292atmos10060292Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM)Adrian Doicu0Dmitry S. Efremenko1Remote Sensing Technology Institute, German Aerospace Center (DLR), 82234 Oberpfaffenhofen, GermanyRemote Sensing Technology Institute, German Aerospace Center (DLR), 82234 Oberpfaffenhofen, GermanyLinearizations of the spherical harmonic discrete ordinate method (SHDOM) by means of a forward and a forward-adjoint approach are presented. Essentially, SHDOM is specialized for derivative calculations and radiative transfer problems involving the delta-M approximation, the TMS correction, and the adaptive grid splitting, while practical formulas for computing the derivatives in the spherical harmonics space are derived. The accuracies and efficiencies of the proposed methods are analyzed for several test problems.https://www.mdpi.com/2073-4433/10/6/2923D radiative trasnferSHDOMJacobianlinearizationadjoint radiative transfer |
| spellingShingle | Adrian Doicu Dmitry S. Efremenko Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM) Atmosphere 3D radiative trasnfer SHDOM Jacobian linearization adjoint radiative transfer |
| title | Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM) |
| title_full | Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM) |
| title_fullStr | Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM) |
| title_full_unstemmed | Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM) |
| title_short | Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM) |
| title_sort | linearizations of the spherical harmonic discrete ordinate method shdom |
| topic | 3D radiative trasnfer SHDOM Jacobian linearization adjoint radiative transfer |
| url | https://www.mdpi.com/2073-4433/10/6/292 |
| work_keys_str_mv | AT adriandoicu linearizationsofthesphericalharmonicdiscreteordinatemethodshdom AT dmitrysefremenko linearizationsofthesphericalharmonicdiscreteordinatemethodshdom |