Verification of analytic energy moments for the one-dimensional energy dependent neutron diffusion equation with MCNP5 and Attila-7.1.0
► Derived normalized energy moments with energy dependent neutron diffusion equation. ► Compared analytic energy moments 0–5 for a 100% 235U sphere with MCNP5 and Attila. ► Neutron energy moments from each method match expected physical intuition. ► Results of analytic moments are within 0–14% of MC...
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| Veröffentlicht in: | Annals of nuclear energy 2012-12, Vol.50, p.18-32 |
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| container_title | Annals of nuclear energy |
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| creator | Crawford, Douglas S. Ring, Terry A. |
| description | ► Derived normalized energy moments with energy dependent neutron diffusion equation. ► Compared analytic energy moments 0–5 for a 100% 235U sphere with MCNP5 and Attila. ► Neutron energy moments from each method match expected physical intuition. ► Results of analytic moments are within 0–14% of MCNP5 moments.
The energy dependent neutron diffusion equation (EDNDE) is converted into a moment equation which is solved analytically for the 1-D problem of a bare sphere of pure 235U. The normalized moments 0–5 generated analytically are compared to normalized energy moments, from Monte Carlo N Particle 5 version 1.40 (MCNP5) and Attila-7.1.0-beta version (Attila). The analytic normalized neutron energy moments, fall between the results from MCNP5 (lower bound) and Attila (upper bound) and are accurate compared to MCNP5 neutron energy moments when error in this Monte Carlo simulation are considered. The error range is from 0% to 14%. The Attila moments are less accurate when compared to MCNP5 than the analytical moments derived in this work. The method of moments is shown to be a fast reliable method, compared to either Monte Carlo methods (MCNP5) or 30 multi-energy group methods (Attila). |
| doi_str_mv | 10.1016/j.anucene.2012.06.022 |
| format | Article |
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The energy dependent neutron diffusion equation (EDNDE) is converted into a moment equation which is solved analytically for the 1-D problem of a bare sphere of pure 235U. The normalized moments 0–5 generated analytically are compared to normalized energy moments, from Monte Carlo N Particle 5 version 1.40 (MCNP5) and Attila-7.1.0-beta version (Attila). The analytic normalized neutron energy moments, fall between the results from MCNP5 (lower bound) and Attila (upper bound) and are accurate compared to MCNP5 neutron energy moments when error in this Monte Carlo simulation are considered. The error range is from 0% to 14%. The Attila moments are less accurate when compared to MCNP5 than the analytical moments derived in this work. The method of moments is shown to be a fast reliable method, compared to either Monte Carlo methods (MCNP5) or 30 multi-energy group methods (Attila).</description><identifier>ISSN: 0306-4549</identifier><identifier>EISSN: 1873-2100</identifier><identifier>DOI: 10.1016/j.anucene.2012.06.022</identifier><language>eng</language><publisher>United States: Elsevier Ltd</publisher><subject>Attila ; Energy moments ; GENERAL AND MISCELLANEOUS ; MCNP5 ; Neutron diffusion ; Statistics moments</subject><ispartof>Annals of nuclear energy, 2012-12, Vol.50, p.18-32</ispartof><rights>2012 Elsevier Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c336t-3a43bd1672a4036f988edc59db82e9779d804cf266a2b9b56a9ec2bb6fee52193</citedby><cites>FETCH-LOGICAL-c336t-3a43bd1672a4036f988edc59db82e9779d804cf266a2b9b56a9ec2bb6fee52193</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.anucene.2012.06.022$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,780,784,885,3548,27923,27924,45994</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/1060954$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Crawford, Douglas S.</creatorcontrib><creatorcontrib>Ring, Terry A.</creatorcontrib><creatorcontrib>Idaho National Laboratory (INL)</creatorcontrib><title>Verification of analytic energy moments for the one-dimensional energy dependent neutron diffusion equation with MCNP5 and Attila-7.1.0</title><title>Annals of nuclear energy</title><description>► Derived normalized energy moments with energy dependent neutron diffusion equation. ► Compared analytic energy moments 0–5 for a 100% 235U sphere with MCNP5 and Attila. ► Neutron energy moments from each method match expected physical intuition. ► Results of analytic moments are within 0–14% of MCNP5 moments.
The energy dependent neutron diffusion equation (EDNDE) is converted into a moment equation which is solved analytically for the 1-D problem of a bare sphere of pure 235U. The normalized moments 0–5 generated analytically are compared to normalized energy moments, from Monte Carlo N Particle 5 version 1.40 (MCNP5) and Attila-7.1.0-beta version (Attila). The analytic normalized neutron energy moments, fall between the results from MCNP5 (lower bound) and Attila (upper bound) and are accurate compared to MCNP5 neutron energy moments when error in this Monte Carlo simulation are considered. The error range is from 0% to 14%. The Attila moments are less accurate when compared to MCNP5 than the analytical moments derived in this work. The method of moments is shown to be a fast reliable method, compared to either Monte Carlo methods (MCNP5) or 30 multi-energy group methods (Attila).</description><subject>Attila</subject><subject>Energy moments</subject><subject>GENERAL AND MISCELLANEOUS</subject><subject>MCNP5</subject><subject>Neutron diffusion</subject><subject>Statistics moments</subject><issn>0306-4549</issn><issn>1873-2100</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqFkM1O4zAURi3ESBSGR0Cy2CdjO4kTr1BVAYPEzywGtpZjX1NXrQ22O6M-Aa-No5Y1qytdne9c3Q-hC0pqSij_taqV32rwUDNCWU14TRg7QjM69E3FKCHHaEYawqu2a8UJOk1pRQo4tO0MfbxAdNZplV3wOFisvFrvstO4-OLrDm_CBnxO2IaI8xJw8FAZV3apBNT6CzPwBt4UEnvY5lhcxlm7nSAM79u9_r_LS_ywePzTlTMGz3N2a1X1Na3JT_TDqnWC88M8Q883138Xv6v7p9u7xfy-0k3Dc9WothkN5T1TLWm4FcMARnfCjAMD0ffCDKTVlnGu2CjGjisBmo0jtwAdo6I5Q5d7b0jZyaRdBr3UwXvQWVLCiejaAnV7SMeQUgQr36LbqLgrhJwqlyt5qFxOlUvCZam85K72OSgf_HMQpwPgNRgXJ78J7hvDJ6CLjpw</recordid><startdate>201212</startdate><enddate>201212</enddate><creator>Crawford, Douglas S.</creator><creator>Ring, Terry A.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>201212</creationdate><title>Verification of analytic energy moments for the one-dimensional energy dependent neutron diffusion equation with MCNP5 and Attila-7.1.0</title><author>Crawford, Douglas S. ; Ring, Terry A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c336t-3a43bd1672a4036f988edc59db82e9779d804cf266a2b9b56a9ec2bb6fee52193</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Attila</topic><topic>Energy moments</topic><topic>GENERAL AND MISCELLANEOUS</topic><topic>MCNP5</topic><topic>Neutron diffusion</topic><topic>Statistics moments</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Crawford, Douglas S.</creatorcontrib><creatorcontrib>Ring, Terry A.</creatorcontrib><creatorcontrib>Idaho National Laboratory (INL)</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Annals of nuclear energy</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Crawford, Douglas S.</au><au>Ring, Terry A.</au><aucorp>Idaho National Laboratory (INL)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Verification of analytic energy moments for the one-dimensional energy dependent neutron diffusion equation with MCNP5 and Attila-7.1.0</atitle><jtitle>Annals of nuclear energy</jtitle><date>2012-12</date><risdate>2012</risdate><volume>50</volume><spage>18</spage><epage>32</epage><pages>18-32</pages><issn>0306-4549</issn><eissn>1873-2100</eissn><abstract>► Derived normalized energy moments with energy dependent neutron diffusion equation. ► Compared analytic energy moments 0–5 for a 100% 235U sphere with MCNP5 and Attila. ► Neutron energy moments from each method match expected physical intuition. ► Results of analytic moments are within 0–14% of MCNP5 moments.
The energy dependent neutron diffusion equation (EDNDE) is converted into a moment equation which is solved analytically for the 1-D problem of a bare sphere of pure 235U. The normalized moments 0–5 generated analytically are compared to normalized energy moments, from Monte Carlo N Particle 5 version 1.40 (MCNP5) and Attila-7.1.0-beta version (Attila). The analytic normalized neutron energy moments, fall between the results from MCNP5 (lower bound) and Attila (upper bound) and are accurate compared to MCNP5 neutron energy moments when error in this Monte Carlo simulation are considered. The error range is from 0% to 14%. The Attila moments are less accurate when compared to MCNP5 than the analytical moments derived in this work. The method of moments is shown to be a fast reliable method, compared to either Monte Carlo methods (MCNP5) or 30 multi-energy group methods (Attila).</abstract><cop>United States</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.anucene.2012.06.022</doi><tpages>15</tpages></addata></record> |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Attila Energy moments GENERAL AND MISCELLANEOUS MCNP5 Neutron diffusion Statistics moments |
| title | Verification of analytic energy moments for the one-dimensional energy dependent neutron diffusion equation with MCNP5 and Attila-7.1.0 |
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