{"title":"ELEMENTS OF NEUTRON TRANSPORT THEORY","authors":"","doi":"10.1002/9781119582342.ch17","DOIUrl":"https://doi.org/10.1002/9781119582342.ch17","url":null,"abstract":"","PeriodicalId":153796,"journal":{"name":"Nuclear Reactor Physics and Engineering","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116644852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"CALCULUS OF VARIATION FOR OPTIMAL CONTROL FORMULATION","authors":"","doi":"10.1002/9781119582342.app5","DOIUrl":"https://doi.org/10.1002/9781119582342.app5","url":null,"abstract":"","PeriodicalId":153796,"journal":{"name":"Nuclear Reactor Physics and Engineering","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121527998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"APPLICATIONS OF THE TWO‐GROUP NEUTRON DIFFUSION EQUATION","authors":"","doi":"10.1002/9781119582342.ch7","DOIUrl":"https://doi.org/10.1002/9781119582342.ch7","url":null,"abstract":"","PeriodicalId":153796,"journal":{"name":"Nuclear Reactor Physics and Engineering","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133877843","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"NUMERICAL SOLUTION OF THE NEUTRON DIFFUSION EQUATION","authors":"H. Kaper, G. Leaf, A. Lindeman","doi":"10.1002/9781119582342.ch6","DOIUrl":"https://doi.org/10.1002/9781119582342.ch6","url":null,"abstract":"7 I. DESCRIPTION OF THE PROBLEM 9 A. Introduction 9 B. Statement of Objectives 11 C. The Multigroup Formalism and the Power Iteration Method . . . 11 II. FORMULATION OF A GALERKIN-TYPE APPROXIMATION PROCEDURE 16 A. Introduction 16 B. Statement of the Problem and Properties of the Solution . . . 18 C. The Galerkin Approximation Procedure 25 III. SOLUTION OF THE APPROXIMATE PROBLEM 32 A. Choice of a Finite-dimensional Subspace 32 B. Construction of a Basis 33 C. Solution of the Approximate Problem 38 D. Generation of the Coefficients 39 IV. DESCRIPTION OF THE RESEARCH COMPUTER PROGRAM HOD 46 V. A TIMING COMPARISON STUDY 48 A. Introduction 48 B. Description of the Computer Program DARC2D 48 C. Scope and Limitations of the Studies 50 D. A Homogeneous Reactor Configuration 54 E. A Simple Two-zone Reactor Configuration 62 F. A 1,000 MWe Liquid Metal Fast Breeder Reactor Configuration . 72 G. A Loosely Coupled Reactor Configuration 78 H. Conclusions 92 VI. SUMMARY AND CONCLUSIONS 95 APPENDIX 96 ACKNOWLEDGEMENT 97 REFERENCES 98","PeriodicalId":153796,"journal":{"name":"Nuclear Reactor Physics and Engineering","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133605320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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