TY - JOUR
T1 - PARTICLE AND RADIATION LEAKAGE IMPORTANCE
T2 - DEFINITION, ANALYSIS, AND INTERPRETATION.
AU - CACUCI, D. G.
AU - WAGSCHAL, J. J.
AU - YAARI, A.
PY - 1982
Y1 - 1982
N2 - THE CONCEPT OF A LEAKAGE IMPOTANCE FUNCTION IS INTRODUCED AND ANALYZED FOR PHYSICAL SYSTEMS GOVERNED BY THE BOLTZMANN TRANSPORT EQUATION. THE HOMOGENEOUS EQUATION WITH INHOMOGENEOUS BOUNDARY CONDITIONS SATISFIED BY THE IMPORTANCE FUNCTION IS DERIVED BY USING ADJOINT OPERATORS. A STANDARD DISCRETE ORDINATES TRANSPORT CODE IS USED TO SOLVE THIS EQUATION, AND SOME IMPOTANT NUMERICAL ASPECTS ARE HIGHLIGHTED. IDEALIZED NUCLEAR SYSTEMS ARE ANALYZED TO ILLUSTRATE THAT THE LEAKAGE IMPORTANCE FUNCTION GIVES A MEASURE OF THE RELATIVE IMPORTANCE OF EACH SOURCE PARTICLE IN PHASE SPACE IN CONTRIBUTING TO THE LEAKAGE, AND THAT THE LEAKAGE IMPORTANCE FUNCTION PROVIDES INSIGHT REGARDING THE SPECIFIC PHYSICAL PROCESS THAT LEADS TO LEAKAGE.
AB - THE CONCEPT OF A LEAKAGE IMPOTANCE FUNCTION IS INTRODUCED AND ANALYZED FOR PHYSICAL SYSTEMS GOVERNED BY THE BOLTZMANN TRANSPORT EQUATION. THE HOMOGENEOUS EQUATION WITH INHOMOGENEOUS BOUNDARY CONDITIONS SATISFIED BY THE IMPORTANCE FUNCTION IS DERIVED BY USING ADJOINT OPERATORS. A STANDARD DISCRETE ORDINATES TRANSPORT CODE IS USED TO SOLVE THIS EQUATION, AND SOME IMPOTANT NUMERICAL ASPECTS ARE HIGHLIGHTED. IDEALIZED NUCLEAR SYSTEMS ARE ANALYZED TO ILLUSTRATE THAT THE LEAKAGE IMPORTANCE FUNCTION GIVES A MEASURE OF THE RELATIVE IMPORTANCE OF EACH SOURCE PARTICLE IN PHASE SPACE IN CONTRIBUTING TO THE LEAKAGE, AND THAT THE LEAKAGE IMPORTANCE FUNCTION PROVIDES INSIGHT REGARDING THE SPECIFIC PHYSICAL PROCESS THAT LEADS TO LEAKAGE.
UR - http://www.scopus.com/inward/record.url?scp=0020159785&partnerID=8YFLogxK
U2 - 10.13182/nse82-a20285
DO - 10.13182/nse82-a20285
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AN - SCOPUS:0020159785
SN - 0029-5639
VL - V 81
SP - 443
EP - 450
JO - Nuclear Science and Engineering
JF - Nuclear Science and Engineering
IS - N 3
ER -