Analysis of a Monte Carlo method for nonlinear radiative transfer

Journal Article · Wed Jul 01 00:00:00 EDT 1987 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(87)90019-2· OSTI ID:6363535

Larsen, E W; Mercier, B

It has recently been proven that solutions of nonlinear radiative transfer problems satisfy a maximum principle (Andreev, Kozmanov, and Rachilov, U.S.S.R. Comput, Math. Math. Phys. 23, 104 (1983); Mercier, SIAM J. Math. Anal., in press). In this article it is shown that Monte Carlo solutions of such problems, obtained using the method of Fleck and Cummings (J. Comput. Phys. 8, 313 (1971)), must satisfy this maximum principle for sufficiently small time-steps, but can violate it for sufficiently large time-steps. Analyses of the frequency-dependent and grey cases ae given, and a numerical solution violating the maximum principle is discussed. copyright 1987 Academic Press, Inc.

• Research Organization: University of California, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 6363535
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 71:1; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
ALGORITHMS
ENERGY TRANSFER
HEAT TRANSFER
MATHEMATICAL LOGIC
MONTE CARLO METHOD
NONLINEAR PROBLEMS
RADIANT HEAT TRANSFER