Nonlinear response matrix methods for radiative transfer. [Radiative transfer]

Conference · Thu Jan 01 00:00:00 EST 1987

OSTI ID:7011337

Miller, Jr, W F; Lewis, E E

A nonlinear response matrix formalism is presented for the solution of time-dependent radiative transfer problems. The essential feature of the method is that within each computational cell the temperature is calculated in response to the incoming photons from all frequency groups. Thus the updating of the temperature distribution is placed within the iterative solution of the spaceangle transport problem, instead of being placed outside of it. The method is formulated for both grey and multifrequency problems and applied in slab geometry. The method is compared to the more conventional source iteration technique. 7 refs., 1 fig., 4 tabs.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Northwestern Univ., Evanston, IL (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 7011337
• Report Number(s): LA-UR-87-140; CONF-870424-6; ON: DE87005106
• Resource Relation: Conference: American Nuclear Society international meeting on advances in reactor physics, mathematics and computation, Paris, France, 27 Apr 1987; Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENERGY TRANSFER
MATHEMATICAL MODELS
MATRICES
NONLINEAR PROBLEMS
TIME DEPENDENCE
990230* - Mathematics & Mathematical Models- (1987-1989)
657000 - Theoretical & Mathematical Physics