Loading…
Spectral element method for vector radiative transfer equation
A spectral element method (SEM) is developed to solve polarized radiative transfer in multidimensional participating medium. The angular discretization is based on the discrete-ordinates approach, and the spatial discretization is conducted by spectral element approach. Chebyshev polynomial is used...
Saved in:
Published in: | Journal of quantitative spectroscopy & radiative transfer 2010-02, Vol.111 (3), p.433-446 |
---|---|
Main Authors: | , , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
cited_by | cdi_FETCH-LOGICAL-c379t-efa9bdefcceca5567f172b9d15a3026ebab64274a4d8734865bc8b992e1c703a3 |
---|---|
cites | cdi_FETCH-LOGICAL-c379t-efa9bdefcceca5567f172b9d15a3026ebab64274a4d8734865bc8b992e1c703a3 |
container_end_page | 446 |
container_issue | 3 |
container_start_page | 433 |
container_title | Journal of quantitative spectroscopy & radiative transfer |
container_volume | 111 |
creator | Zhao, J.M. Liu, L.H. Hsu, P.-f. Tan, J.Y. |
description | A spectral element method (SEM) is developed to solve polarized radiative transfer in multidimensional participating medium. The angular discretization is based on the discrete-ordinates approach, and the spatial discretization is conducted by spectral element approach. Chebyshev polynomial is used to build basis function on each element. Four various test problems are taken as examples to verify the performance of the SEM. The effectiveness of the SEM is demonstrated. The
h and the
p convergence characteristics of the SEM are studied. The convergence rate of
p-refinement follows the exponential decay trend and is superior to that of
h-refinement. The accuracy and efficiency of the higher order approximation in the SEM is well demonstrated for the solution of the VRTE. The predicted angular distribution of brightness temperature and Stokes vector by the SEM agree very well with the benchmark solutions in references. Numerical results show that the SEM is accurate, flexible and effective to solve multidimensional polarized radiative transfer problems. |
doi_str_mv | 10.1016/j.jqsrt.2009.10.009 |
format | article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_36237490</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0022407309003100</els_id><sourcerecordid>36237490</sourcerecordid><originalsourceid>FETCH-LOGICAL-c379t-efa9bdefcceca5567f172b9d15a3026ebab64274a4d8734865bc8b992e1c703a3</originalsourceid><addsrcrecordid>eNp9kM1KxDAYRYMoOI4-gZuu3LXmp02ahYIM_sGAC3Ud0uQrprTNTJIZ8O3NOK5dHbi594MchK4Jrggm_Haohm0MqaIYy5xUGSdoQVohS8IaeooWGFNa1liwc3QR44AxZozwBbp_34BJQY8FjDDBnIoJ0pe3Re9Dsc9PGUFbp5PbQ5GLc-whFLDd5cTPl-is12OEqz8u0efT48fqpVy_Pb-uHtalYUKmEnotOwu9MWB003DRE0E7aUmjGaYcOt3xmopa17YVrG5505m2k5ICMQIzzZbo5nh3E_x2BzGpyUUD46hn8LuoGKdM1BLnIjsWTfAxBujVJrhJh29FsDq4UoP6daUOrg5hRl7dHVeQ_7B3EFQ0DmYD1oXsQFnv_t3_APrJdPk</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>36237490</pqid></control><display><type>article</type><title>Spectral element method for vector radiative transfer equation</title><source>ScienceDirect Freedom Collection 2022-2024</source><creator>Zhao, J.M. ; Liu, L.H. ; Hsu, P.-f. ; Tan, J.Y.</creator><creatorcontrib>Zhao, J.M. ; Liu, L.H. ; Hsu, P.-f. ; Tan, J.Y.</creatorcontrib><description>A spectral element method (SEM) is developed to solve polarized radiative transfer in multidimensional participating medium. The angular discretization is based on the discrete-ordinates approach, and the spatial discretization is conducted by spectral element approach. Chebyshev polynomial is used to build basis function on each element. Four various test problems are taken as examples to verify the performance of the SEM. The effectiveness of the SEM is demonstrated. The
h and the
p convergence characteristics of the SEM are studied. The convergence rate of
p-refinement follows the exponential decay trend and is superior to that of
h-refinement. The accuracy and efficiency of the higher order approximation in the SEM is well demonstrated for the solution of the VRTE. The predicted angular distribution of brightness temperature and Stokes vector by the SEM agree very well with the benchmark solutions in references. Numerical results show that the SEM is accurate, flexible and effective to solve multidimensional polarized radiative transfer problems.</description><identifier>ISSN: 0022-4073</identifier><identifier>EISSN: 1879-1352</identifier><identifier>DOI: 10.1016/j.jqsrt.2009.10.009</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Polarization ; Spectral element method ; Vector radiative transfer</subject><ispartof>Journal of quantitative spectroscopy & radiative transfer, 2010-02, Vol.111 (3), p.433-446</ispartof><rights>2009 Elsevier Ltd</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c379t-efa9bdefcceca5567f172b9d15a3026ebab64274a4d8734865bc8b992e1c703a3</citedby><cites>FETCH-LOGICAL-c379t-efa9bdefcceca5567f172b9d15a3026ebab64274a4d8734865bc8b992e1c703a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Zhao, J.M.</creatorcontrib><creatorcontrib>Liu, L.H.</creatorcontrib><creatorcontrib>Hsu, P.-f.</creatorcontrib><creatorcontrib>Tan, J.Y.</creatorcontrib><title>Spectral element method for vector radiative transfer equation</title><title>Journal of quantitative spectroscopy & radiative transfer</title><description>A spectral element method (SEM) is developed to solve polarized radiative transfer in multidimensional participating medium. The angular discretization is based on the discrete-ordinates approach, and the spatial discretization is conducted by spectral element approach. Chebyshev polynomial is used to build basis function on each element. Four various test problems are taken as examples to verify the performance of the SEM. The effectiveness of the SEM is demonstrated. The
h and the
p convergence characteristics of the SEM are studied. The convergence rate of
p-refinement follows the exponential decay trend and is superior to that of
h-refinement. The accuracy and efficiency of the higher order approximation in the SEM is well demonstrated for the solution of the VRTE. The predicted angular distribution of brightness temperature and Stokes vector by the SEM agree very well with the benchmark solutions in references. Numerical results show that the SEM is accurate, flexible and effective to solve multidimensional polarized radiative transfer problems.</description><subject>Polarization</subject><subject>Spectral element method</subject><subject>Vector radiative transfer</subject><issn>0022-4073</issn><issn>1879-1352</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kM1KxDAYRYMoOI4-gZuu3LXmp02ahYIM_sGAC3Ud0uQrprTNTJIZ8O3NOK5dHbi594MchK4Jrggm_Haohm0MqaIYy5xUGSdoQVohS8IaeooWGFNa1liwc3QR44AxZozwBbp_34BJQY8FjDDBnIoJ0pe3Re9Dsc9PGUFbp5PbQ5GLc-whFLDd5cTPl-is12OEqz8u0efT48fqpVy_Pb-uHtalYUKmEnotOwu9MWB003DRE0E7aUmjGaYcOt3xmopa17YVrG5505m2k5ICMQIzzZbo5nh3E_x2BzGpyUUD46hn8LuoGKdM1BLnIjsWTfAxBujVJrhJh29FsDq4UoP6daUOrg5hRl7dHVeQ_7B3EFQ0DmYD1oXsQFnv_t3_APrJdPk</recordid><startdate>20100201</startdate><enddate>20100201</enddate><creator>Zhao, J.M.</creator><creator>Liu, L.H.</creator><creator>Hsu, P.-f.</creator><creator>Tan, J.Y.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>20100201</creationdate><title>Spectral element method for vector radiative transfer equation</title><author>Zhao, J.M. ; Liu, L.H. ; Hsu, P.-f. ; Tan, J.Y.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c379t-efa9bdefcceca5567f172b9d15a3026ebab64274a4d8734865bc8b992e1c703a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Polarization</topic><topic>Spectral element method</topic><topic>Vector radiative transfer</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhao, J.M.</creatorcontrib><creatorcontrib>Liu, L.H.</creatorcontrib><creatorcontrib>Hsu, P.-f.</creatorcontrib><creatorcontrib>Tan, J.Y.</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of quantitative spectroscopy & radiative transfer</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhao, J.M.</au><au>Liu, L.H.</au><au>Hsu, P.-f.</au><au>Tan, J.Y.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Spectral element method for vector radiative transfer equation</atitle><jtitle>Journal of quantitative spectroscopy & radiative transfer</jtitle><date>2010-02-01</date><risdate>2010</risdate><volume>111</volume><issue>3</issue><spage>433</spage><epage>446</epage><pages>433-446</pages><issn>0022-4073</issn><eissn>1879-1352</eissn><abstract>A spectral element method (SEM) is developed to solve polarized radiative transfer in multidimensional participating medium. The angular discretization is based on the discrete-ordinates approach, and the spatial discretization is conducted by spectral element approach. Chebyshev polynomial is used to build basis function on each element. Four various test problems are taken as examples to verify the performance of the SEM. The effectiveness of the SEM is demonstrated. The
h and the
p convergence characteristics of the SEM are studied. The convergence rate of
p-refinement follows the exponential decay trend and is superior to that of
h-refinement. The accuracy and efficiency of the higher order approximation in the SEM is well demonstrated for the solution of the VRTE. The predicted angular distribution of brightness temperature and Stokes vector by the SEM agree very well with the benchmark solutions in references. Numerical results show that the SEM is accurate, flexible and effective to solve multidimensional polarized radiative transfer problems.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.jqsrt.2009.10.009</doi><tpages>14</tpages><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0022-4073 |
ispartof | Journal of quantitative spectroscopy & radiative transfer, 2010-02, Vol.111 (3), p.433-446 |
issn | 0022-4073 1879-1352 |
language | eng |
recordid | cdi_proquest_miscellaneous_36237490 |
source | ScienceDirect Freedom Collection 2022-2024 |
subjects | Polarization Spectral element method Vector radiative transfer |
title | Spectral element method for vector radiative transfer equation |
url | http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-25T09%3A38%3A47IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Spectral%20element%20method%20for%20vector%20radiative%20transfer%20equation&rft.jtitle=Journal%20of%20quantitative%20spectroscopy%20&%20radiative%20transfer&rft.au=Zhao,%20J.M.&rft.date=2010-02-01&rft.volume=111&rft.issue=3&rft.spage=433&rft.epage=446&rft.pages=433-446&rft.issn=0022-4073&rft.eissn=1879-1352&rft_id=info:doi/10.1016/j.jqsrt.2009.10.009&rft_dat=%3Cproquest_cross%3E36237490%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c379t-efa9bdefcceca5567f172b9d15a3026ebab64274a4d8734865bc8b992e1c703a3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=36237490&rft_id=info:pmid/&rfr_iscdi=true |