Calculation acceleration for fuel cycle simulation of molten salt reactor based on multi-group cross section method
The time-consuming issue of transport calculations is prominent in the burnup calculation of nuclear reactor. Multi-Group Cross Section (MGXS) method is an acceleration technique developed based on the characteristics of Monte Carlo simulation, which can significantly reduce the computation time req...
        Saved in:
      
    
          | Published in | Progress in nuclear energy (New series) Vol. 178; p. 105505 | 
|---|---|
| Main Authors | , , , , , , , , , | 
| Format | Journal Article | 
| Language | English | 
| Published | 
            Elsevier Ltd
    
        01.01.2025
     | 
| Subjects | |
| Online Access | Get full text | 
| ISSN | 0149-1970 | 
| DOI | 10.1016/j.pnucene.2024.105505 | 
Cover
| Abstract | The time-consuming issue of transport calculations is prominent in the burnup calculation of nuclear reactor. Multi-Group Cross Section (MGXS) method is an acceleration technique developed based on the characteristics of Monte Carlo simulation, which can significantly reduce the computation time required to solve a single group cross section in transportation calculations. The effectiveness of the method has been verified in the test calculations of water reactor pins. However, liquid molten salt reactors (MSRs) exhibit significant differences from conventional water reactors in terms of neutron energy spectra and fuel cycle mode. The effectiveness of the MGXS method in MSR burnup simulations remains to be validated, and targeted adjustments are required during its application. In this study, OpenMC and ORIGEN2 are coupled to develop an accelerated calculation method for MSR burnup simulations based on the MGXS approach. The reasonable grouping structure of the MGXS method is explored, and the performance of different grouping structures is tested. Results show that the transport calculation can be accelerated by an average factor of 2.4 for a single burnup zone by using MGXS method and the acceleration effect is generally independent of the grouping structure adopted. The nuclide mass bias compared to the traditional direct solution can be reduced to approximately 1% when the fuel burnup is 250MWd/kg for the LEU loading scheme with the 10000 groups structure. For the TRU loading scheme, the mass bias compared to the traditional direct solution of important nuclides (such as U-233, U-235, Pu-239 and so on) can be controlled below 0.5% at a burnup of 230 MW d/kg. The results indicate that the grouping strategy proposed in this study can achieve the adaptation of MGXS to MSRs, and the 10000 groups structure adopted in the study exhibits good accuracy. | 
    
|---|---|
| AbstractList | The time-consuming issue of transport calculations is prominent in the burnup calculation of nuclear reactor. Multi-Group Cross Section (MGXS) method is an acceleration technique developed based on the characteristics of Monte Carlo simulation, which can significantly reduce the computation time required to solve a single group cross section in transportation calculations. The effectiveness of the method has been verified in the test calculations of water reactor pins. However, liquid molten salt reactors (MSRs) exhibit significant differences from conventional water reactors in terms of neutron energy spectra and fuel cycle mode. The effectiveness of the MGXS method in MSR burnup simulations remains to be validated, and targeted adjustments are required during its application. In this study, OpenMC and ORIGEN2 are coupled to develop an accelerated calculation method for MSR burnup simulations based on the MGXS approach. The reasonable grouping structure of the MGXS method is explored, and the performance of different grouping structures is tested. Results show that the transport calculation can be accelerated by an average factor of 2.4 for a single burnup zone by using MGXS method and the acceleration effect is generally independent of the grouping structure adopted. The nuclide mass bias compared to the traditional direct solution can be reduced to approximately 1% when the fuel burnup is 250MWd/kg for the LEU loading scheme with the 10000 groups structure. For the TRU loading scheme, the mass bias compared to the traditional direct solution of important nuclides (such as U-233, U-235, Pu-239 and so on) can be controlled below 0.5% at a burnup of 230 MW d/kg. The results indicate that the grouping strategy proposed in this study can achieve the adaptation of MGXS to MSRs, and the 10000 groups structure adopted in the study exhibits good accuracy. | 
    
| ArticleNumber | 105505 | 
    
| Author | Jia, Shuyang Liu, Yafen Zhu, Guifeng Yu, Changqing Yan, Rui Zou, Yang Xu, Zhenghao Xu, Hongjie Zhong, Yu Fan, Yuhan  | 
    
| Author_xml | – sequence: 1 givenname: Zhenghao orcidid: 0009-0005-2752-2137 surname: Xu fullname: Xu, Zhenghao organization: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China – sequence: 2 givenname: Guifeng orcidid: 0000-0003-4661-8159 surname: Zhu fullname: Zhu, Guifeng email: zhuguifeng@sinap.ac.cn organization: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China – sequence: 3 givenname: Shuyang surname: Jia fullname: Jia, Shuyang organization: University of Chinese Academy of Sciences, Beijing, 100049, China – sequence: 4 givenname: Yafen surname: Liu fullname: Liu, Yafen organization: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China – sequence: 5 givenname: Changqing surname: Yu fullname: Yu, Changqing organization: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China – sequence: 6 givenname: Yuhan surname: Fan fullname: Fan, Yuhan organization: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China – sequence: 7 givenname: Yu surname: Zhong fullname: Zhong, Yu organization: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China – sequence: 8 givenname: Rui surname: Yan fullname: Yan, Rui organization: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China – sequence: 9 givenname: Yang surname: Zou fullname: Zou, Yang organization: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China – sequence: 10 givenname: Hongjie surname: Xu fullname: Xu, Hongjie organization: Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai, 201800, China  | 
    
| BookMark | eNqFkMtqwzAQRbVIoUnaTyjoB5xKsmTHq1JCXxDopl0LeTRqFWQrSHYhf1_n0XVXw8zcO9w5CzLrY4-E3HG24oxX97vVvh8Be1wJJuQ0U4qpGZkzLpuCNzW7Joucd4zxmis1J3ljAozBDD721ABgwHRuXEzUjRgoHCAgzb77k0VHuxgG7Gk2YaAJDQyTuDUZLZ32k3DwxVeK455CijnTjHBydjh8R3tDrpwJGW8vdUk-n58-Nq_F9v3lbfO4LUCoeihqMKJVa-awFGUDtmqgrYwrpbCuWstWSsdLYRsrQaJQzKCsDGutBcEMA1UuiTrfPYVI6PQ--c6kg-ZMH2npnb7Q0kda-kxr8j2cfTiF-_GYdAaPPaD1aXpE2-j_ufAL8w59NQ | 
    
| Cites_doi | 10.1016/j.jfluchem.2008.07.009 10.1016/j.anucene.2017.10.040 10.13182/NSE07-A2695 10.1007/s41365-018-0366-4 10.13182/NT11-135 10.1016/j.pnucene.2018.09.003 10.1016/S0167-739X(02)00161-9 10.1016/j.pnucene.2019.103115 10.1002/er.4676 10.13182/NSE14-92 10.1016/j.anucene.2014.08.024 10.1016/j.anucene.2013.05.046 10.1016/j.anucene.2011.03.016 10.1016/j.anucene.2009.03.019 10.1137/05063042  | 
    
| ContentType | Journal Article | 
    
| Copyright | 2024 Elsevier Ltd | 
    
| Copyright_xml | – notice: 2024 Elsevier Ltd | 
    
| DBID | AAYXX CITATION  | 
    
| DOI | 10.1016/j.pnucene.2024.105505 | 
    
| DatabaseName | CrossRef | 
    
| DatabaseTitle | CrossRef | 
    
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc | 
    
| Discipline | Engineering | 
    
| ExternalDocumentID | 10_1016_j_pnucene_2024_105505 S0149197024004554  | 
    
| GroupedDBID | --K --M .~1 0R~ 123 1B1 1~. 1~5 29P 4.4 457 4G. 5VS 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAHCO AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AARJD AAXKI AAXUO ABEFU ABFNM ABMAC ABWVN ABXDB ACDAQ ACGFS ACIWK ACRLP ACRPL ADBBV ADEZE ADMUD ADNMO AEBSH AEKER AENEX AFFNX AFJKZ AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHIDL AIEXJ AIKHN AITUG AJOXV AKRWK ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BELTK BKOJK BLXMC CS3 DU5 EBS EFJIC EJD EO8 EO9 EP2 EP3 FDB FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HZ~ IHE J1W JARJE KOM LY6 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 PC. Q38 R2- RIG ROL RPZ SAC SDF SDG SES SEW SPC SPCBC SPD SSR SSZ T5K TN5 WUQ ~02 ~G- AATTM AAYWO AAYXX ACLOT ACVFH ADCNI AEIPS AEUPX AFPUW AGQPQ AIGII AIIUN AKBMS AKYEP ANKPU APXCP CITATION EFKBS EFLBG ~HD  | 
    
| ID | FETCH-LOGICAL-c257t-7ca2b580fe3239cd69cb6af342df684b44f132d9d4c4e250ae46a0bddc20a0c53 | 
    
| IEDL.DBID | .~1 | 
    
| ISSN | 0149-1970 | 
    
| IngestDate | Wed Oct 01 01:43:47 EDT 2025 Sat Dec 14 16:15:28 EST 2024  | 
    
| IsPeerReviewed | true | 
    
| IsScholarly | true | 
    
| Keywords | MGXS Burnup MSR Monte Carlo simulation  | 
    
| Language | English | 
    
| LinkModel | DirectLink | 
    
| MergedId | FETCHMERGED-LOGICAL-c257t-7ca2b580fe3239cd69cb6af342df684b44f132d9d4c4e250ae46a0bddc20a0c53 | 
    
| ORCID | 0009-0005-2752-2137 0000-0003-4661-8159  | 
    
| ParticipantIDs | crossref_primary_10_1016_j_pnucene_2024_105505 elsevier_sciencedirect_doi_10_1016_j_pnucene_2024_105505  | 
    
| ProviderPackageCode | CITATION AAYXX  | 
    
| PublicationCentury | 2000 | 
    
| PublicationDate | January 2025 2025-01-00  | 
    
| PublicationDateYYYYMMDD | 2025-01-01 | 
    
| PublicationDate_xml | – month: 01 year: 2025 text: January 2025  | 
    
| PublicationDecade | 2020 | 
    
| PublicationTitle | Progress in nuclear energy (New series) | 
    
| PublicationYear | 2025 | 
    
| Publisher | Elsevier Ltd | 
    
| Publisher_xml | – sequence: 0 name: Elsevier Ltd  | 
    
| References | Romano, Josey, Johnson (bib11) 2020; 152 Celledoni, Marthinsen, Owren (bib2) 2003; 19 Haeck, Verboomen (bib6) 2007; 156 Delpech, Merle-Lucotte, Heuer, Allibert, Ghetta, Le-Brun, Doligez, Picard (bib3) 2009; 130 Zhu, Zou, Yan (bib15) 2019; 43 Thalhammer (bib12) 2006; 44 Liu, She, Wang (bib9) 2011; 38 Fiorito, Stankovskiy, Van den Eynde (bib4) 2013; 62 Leppänen (bib7) 2009; 36 Zhu, Yan, Dai, Yu, Kang, Yu, Cai, Liu, Zou (bib14) 2019; 110 Goorley, James, Booth (bib5) 2012; 180 Aarno (bib1) 2015; 180 Zhuang, Li, Zhang, He, Zhang (bib16) 2020; 118 Zhou, Yang, Park, Wu (bib13) 2018; 114 Liu, Ge, Yu (bib10) 2018; 29 Leppänen, Pusa, Viitanen (bib8) 2015; 82 Zhu (10.1016/j.pnucene.2024.105505_bib15) 2019; 43 Zhou (10.1016/j.pnucene.2024.105505_bib13) 2018; 114 Aarno (10.1016/j.pnucene.2024.105505_bib1) 2015; 180 Celledoni (10.1016/j.pnucene.2024.105505_bib2) 2003; 19 Thalhammer (10.1016/j.pnucene.2024.105505_bib12) 2006; 44 Goorley (10.1016/j.pnucene.2024.105505_bib5) 2012; 180 Leppänen (10.1016/j.pnucene.2024.105505_bib8) 2015; 82 Zhuang (10.1016/j.pnucene.2024.105505_bib16) 2020; 118 Fiorito (10.1016/j.pnucene.2024.105505_bib4) 2013; 62 Zhu (10.1016/j.pnucene.2024.105505_bib14) 2019; 110 Haeck (10.1016/j.pnucene.2024.105505_bib6) 2007; 156 Liu (10.1016/j.pnucene.2024.105505_bib10) 2018; 29 Leppänen (10.1016/j.pnucene.2024.105505_bib7) 2009; 36 Romano (10.1016/j.pnucene.2024.105505_bib11) 2020; 152 Delpech (10.1016/j.pnucene.2024.105505_bib3) 2009; 130 Liu (10.1016/j.pnucene.2024.105505_bib9) 2011; 38  | 
    
| References_xml | – volume: 62 start-page: 307 year: 2013 end-page: 315 ident: bib4 article-title: Development of time-dependent reaction rates to optimise predictor–corrector algorithm in ALEPH burn-up code publication-title: Ann. Nucl. Energy – volume: 19 start-page: 341 year: 2003 end-page: 352 ident: bib2 article-title: Commutator-free Lie group methods publication-title: Future Generat. Comput. Syst. – volume: 130 start-page: 11 year: 2009 end-page: 17 ident: bib3 article-title: Reactor physic and reprocessing scheme for innovative molten salt reactor system publication-title: J. Fluorine Chem. – volume: 44 start-page: 851 year: 2006 end-page: 864 ident: bib12 article-title: A fourth-order commutator-free exponential integrator for nonautonomous differential equations publication-title: SIAM J. Numer. Anal. – volume: 180 start-page: 298 year: 2012 end-page: 315 ident: bib5 article-title: Initial MCNP6 release overview publication-title: Nucl. Technol. – volume: 110 start-page: 24 year: 2019 end-page: 29 ident: bib14 article-title: Monte Carlo burnup code development based on multi-group cross section method publication-title: Prog. Nucl. Energy – volume: 82 start-page: 142 year: 2015 end-page: 150 ident: bib8 article-title: The Serpent Monte Carlo code: status, development and applications in 2013 publication-title: Ann. Nucl. Energy – volume: 118 start-page: 103 year: 2020 end-page: 115 ident: bib16 article-title: Extended development of a Monte Carlo code OpenMC for fuel cycle simulation of molten salt reactor publication-title: Prog. Nucl. Energy – volume: 156 start-page: 180 year: 2007 end-page: 196 ident: bib6 article-title: An optimum approach to Monte Carlo burnup publication-title: Nucl. Sci. Eng. – volume: 43 start-page: 5775 year: 2019 end-page: 5787 ident: bib15 article-title: Low enriched uranium and thorium fuel utilization under once-through and offline reprocessing scenarios in small modular molten salt reactor publication-title: Int. J. Energy Res. – volume: 114 start-page: 369 year: 2018 end-page: 383 ident: bib13 article-title: Fuel cycle analysis of molten salt reactors based on coupled neutronics and thermal-hydraulics calculations publication-title: Ann. Nucl. Energy – volume: 38 start-page: 1489 year: 2011 end-page: 1495 ident: bib9 article-title: Optimization treatment of point-wise nuclear data in Monte Carlo criticality and burnup calculations publication-title: Ann. Nucl. Energy – volume: 29 start-page: 20 year: 2018 ident: bib10 article-title: Data decomposition method for full-core Monte Carlo transport–burnup calculation publication-title: Nucl. Sci. Tech. – volume: 180 start-page: 286 year: 2015 end-page: 300 ident: bib1 article-title: Comparison of neutronics-depletion coupling schemes for burnup calculations–continued study publication-title: Nucl. Sci. Eng. – volume: 36 start-page: 878 year: 2009 end-page: 885 ident: bib7 article-title: Two practical methods for unionized energy grid construction in continuous-energy Monte Carlo neutron transport calculation publication-title: Ann. Nucl. Energy – volume: 152 year: 2020 ident: bib11 article-title: Depletion capabilities in the OpenMC Monte Carlo particle transport code publication-title: Ann. Nucl. Energy – volume: 130 start-page: 11 year: 2009 ident: 10.1016/j.pnucene.2024.105505_bib3 article-title: Reactor physic and reprocessing scheme for innovative molten salt reactor system publication-title: J. Fluorine Chem. doi: 10.1016/j.jfluchem.2008.07.009 – volume: 114 start-page: 369 year: 2018 ident: 10.1016/j.pnucene.2024.105505_bib13 article-title: Fuel cycle analysis of molten salt reactors based on coupled neutronics and thermal-hydraulics calculations publication-title: Ann. Nucl. Energy doi: 10.1016/j.anucene.2017.10.040 – volume: 156 start-page: 180 issue: 2 year: 2007 ident: 10.1016/j.pnucene.2024.105505_bib6 article-title: An optimum approach to Monte Carlo burnup publication-title: Nucl. Sci. Eng. doi: 10.13182/NSE07-A2695 – volume: 29 start-page: 20 year: 2018 ident: 10.1016/j.pnucene.2024.105505_bib10 article-title: Data decomposition method for full-core Monte Carlo transport–burnup calculation publication-title: Nucl. Sci. Tech. doi: 10.1007/s41365-018-0366-4 – volume: 180 start-page: 298 year: 2012 ident: 10.1016/j.pnucene.2024.105505_bib5 article-title: Initial MCNP6 release overview publication-title: Nucl. Technol. doi: 10.13182/NT11-135 – volume: 152 year: 2020 ident: 10.1016/j.pnucene.2024.105505_bib11 article-title: Depletion capabilities in the OpenMC Monte Carlo particle transport code publication-title: Ann. Nucl. Energy – volume: 110 start-page: 24 year: 2019 ident: 10.1016/j.pnucene.2024.105505_bib14 article-title: Monte Carlo burnup code development based on multi-group cross section method publication-title: Prog. Nucl. Energy doi: 10.1016/j.pnucene.2018.09.003 – volume: 19 start-page: 341 issue: 3 year: 2003 ident: 10.1016/j.pnucene.2024.105505_bib2 article-title: Commutator-free Lie group methods publication-title: Future Generat. Comput. Syst. doi: 10.1016/S0167-739X(02)00161-9 – volume: 118 start-page: 103 year: 2020 ident: 10.1016/j.pnucene.2024.105505_bib16 article-title: Extended development of a Monte Carlo code OpenMC for fuel cycle simulation of molten salt reactor publication-title: Prog. Nucl. Energy doi: 10.1016/j.pnucene.2019.103115 – volume: 43 start-page: 5775 year: 2019 ident: 10.1016/j.pnucene.2024.105505_bib15 article-title: Low enriched uranium and thorium fuel utilization under once-through and offline reprocessing scenarios in small modular molten salt reactor publication-title: Int. J. Energy Res. doi: 10.1002/er.4676 – volume: 180 start-page: 286 issue: 3 year: 2015 ident: 10.1016/j.pnucene.2024.105505_bib1 article-title: Comparison of neutronics-depletion coupling schemes for burnup calculations–continued study publication-title: Nucl. Sci. Eng. doi: 10.13182/NSE14-92 – volume: 82 start-page: 142 year: 2015 ident: 10.1016/j.pnucene.2024.105505_bib8 article-title: The Serpent Monte Carlo code: status, development and applications in 2013 publication-title: Ann. Nucl. Energy doi: 10.1016/j.anucene.2014.08.024 – volume: 62 start-page: 307 year: 2013 ident: 10.1016/j.pnucene.2024.105505_bib4 article-title: Development of time-dependent reaction rates to optimise predictor–corrector algorithm in ALEPH burn-up code publication-title: Ann. Nucl. Energy doi: 10.1016/j.anucene.2013.05.046 – volume: 38 start-page: 1489 issue: 7 year: 2011 ident: 10.1016/j.pnucene.2024.105505_bib9 article-title: Optimization treatment of point-wise nuclear data in Monte Carlo criticality and burnup calculations publication-title: Ann. Nucl. Energy doi: 10.1016/j.anucene.2011.03.016 – volume: 36 start-page: 878 issue: 7 year: 2009 ident: 10.1016/j.pnucene.2024.105505_bib7 article-title: Two practical methods for unionized energy grid construction in continuous-energy Monte Carlo neutron transport calculation publication-title: Ann. Nucl. Energy doi: 10.1016/j.anucene.2009.03.019 – volume: 44 start-page: 851 year: 2006 ident: 10.1016/j.pnucene.2024.105505_bib12 article-title: A fourth-order commutator-free exponential integrator for nonautonomous differential equations publication-title: SIAM J. Numer. Anal. doi: 10.1137/05063042  | 
    
| SSID | ssj0017155 | 
    
| Score | 2.3808105 | 
    
| Snippet | The time-consuming issue of transport calculations is prominent in the burnup calculation of nuclear reactor. Multi-Group Cross Section (MGXS) method is an... | 
    
| SourceID | crossref elsevier  | 
    
| SourceType | Index Database Publisher  | 
    
| StartPage | 105505 | 
    
| SubjectTerms | Burnup MGXS Monte Carlo simulation MSR  | 
    
| Title | Calculation acceleration for fuel cycle simulation of molten salt reactor based on multi-group cross section method | 
    
| URI | https://dx.doi.org/10.1016/j.pnucene.2024.105505 | 
    
| Volume | 178 | 
    
| hasFullText | 1 | 
    
| inHoldings | 1 | 
    
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier) issn: 0149-1970 databaseCode: GBLVA dateStart: 20110101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: true ssIdentifier: ssj0017155 providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier ScienceDirect issn: 0149-1970 databaseCode: .~1 dateStart: 19950101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: true ssIdentifier: ssj0017155 providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier ScienceDirect Freedom Collection Journals issn: 0149-1970 databaseCode: AIKHN dateStart: 19950101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: true ssIdentifier: ssj0017155 providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Complete Freedom Collection [SCCMFC] issn: 0149-1970 databaseCode: ACRLP dateStart: 19950101 customDbUrl: isFulltext: true dateEnd: 99991231 titleUrlDefault: https://www.sciencedirect.com omitProxy: true ssIdentifier: ssj0017155 providerName: Elsevier – providerCode: PRVLSH databaseName: Elsevier Journals issn: 0149-1970 databaseCode: AKRWK dateStart: 19790101 customDbUrl: isFulltext: true mediaType: online dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0017155 providerName: Library Specific Holdings  | 
    
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV09T8MwELWqssCA-BTlo_LAmsZJ7CQeq4qqgOhEpW6R49hSqzStaDqw8Nu5ywcUCTGwZIhtyXq27l6id_cIudfaytDC5ZUMHjzizIE0IpzA-BpN03QgsTj5ZRpOZvxpLuYdMmprYVBW2cT-OqZX0bp54zZoupvFwkVZkvRkhE26gJcI7AnKeYQuBoOPL5mHF3mikTFKB2d_V_G4y8GmAPwK7Jbpc3S8Fehi91t-2ss54xNy3JBFOqz3c0o6pjgjR3stBM_JdqRy3VhwUaU1ZJH6TCmwUWp3Jqf6HRbT7WLVTltbulrnQJbpVuUlBdqIf-4pJrSMwnglMnSqeg9a7ZJuK8EWjFR-0xdkNn54HU2cxkjBQbxLJ9LKT0XMrAl8wD4LpU5DZQPuZzaMecq5hY_STGZccwOcSBkeKpZmmfaZYloEl6RbrAtzRagnlBdbIeNMRzz1IxVGzKbCaqSGjNkeGbTwJZu6X0bSCsmWSYN3gngnNd49ErcgJz8OPoGY_vfS6_8vvSGHPhr5Vv9Sbkm3fNuZO2AXZdqvrk-fHAwfnyfTTzjT0Tk | 
    
| linkProvider | Elsevier | 
    
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELZKGYAB8RTl6YE1jePYcTyiiqpA26mVukWOE0ut2rQi6cDCb-ecBw8JMbBkiH2S9dm6-2x9d4fQvdZGBgYOryTwYYIRB8IId_yUats0TfvSJiePxsFgyp5nfNZCvSYXxsoqa99f-fTSW9d_3BpNdzOfu1aWJD0pbJEu4CWc7aBdxqmwN7Du-6fOwxMer3WM0rHTv9J43EV3kwGAmS2XSZltecttG7vfAtS3oNM_Qoc1W8QP1YKOUSvNTtDBtxqCpyjvqaWue3BhpTWEkWpTMdBRbLbpEus3MMb5fNVMWxu8Wi-BLeNcLQsMvNE-3WMb0RIM46XK0CkTPnC5SpyXii0YKRtOn6Fp_3HSGzh1JwXHAl44Qisa85CY1KcAfhJIHQfK-IwmJghZzJiBW2kiE6ZZCqRIpSxQJE4STYkimvvnqJ2ts_QCYY8rLzRchokWLKZCBYKYmBttuSEhpoO6DXzRpiqYETVKskVU4x1ZvKMK7w4KG5CjHzsfgVP_2_Ty_6Z3aG8wGQ2j4dP45QrtU9vVt3xYuUbt4nWb3gDVKOLb8ih9ADsY0s4 | 
    
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Calculation+acceleration+for+fuel+cycle+simulation+of+molten+salt+reactor+based+on+multi-group+cross+section+method&rft.jtitle=Progress+in+nuclear+energy+%28New+series%29&rft.au=Xu%2C+Zhenghao&rft.au=Zhu%2C+Guifeng&rft.au=Jia%2C+Shuyang&rft.au=Liu%2C+Yafen&rft.date=2025-01-01&rft.issn=0149-1970&rft.volume=178&rft.spage=105505&rft_id=info:doi/10.1016%2Fj.pnucene.2024.105505&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_pnucene_2024_105505 | 
    
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0149-1970&client=summon | 
    
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0149-1970&client=summon | 
    
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0149-1970&client=summon |