Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: A new multigroup method for cross-sections that vary rapidly in energy

Journal Article · · Journal of Quantitative Spectroscopy and Radiative Transfer
 [1];  [1]; ORCiD logo [1]; ORCiD logo [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
+ Show Author Affiliations

Here, we present a numerical method for solving the time-independent thermal radiative transfer (TRT) equation or the neutron transport (NT) equation when the opacity (cross-section) varies rapidly in frequency (energy) on the microscale ε; ε corresponds to the characteristic spacing between absorption lines or resonances, and is much smaller than the macroscopic frequency (energy) variation of interest. The approach is based on a rigorous homogenization of the TRT/NT equation in the frequency (energy) variable. Discretization of the homogenized TRT/NT equation results in a multigroup-type system, and can therefore be solved by standard methods.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1375164
Report Number(s):
LA-UR-16-22032
Journal Information:
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 187, Issue C; ISSN 0022-4073
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

References (17)

The multiband method in radiative transfer calculations journal August 1980
Homogenization and Two-Scale Convergence journal November 1992
The Influence of Line Shape and Band Structure on Temperatures in Planetary Atmospheres journal July 1972
Homogenization and Two-Scale Convergence journal November 1992
A version of the fundamental theorem for young measures book January 2005
Homogenization of transport problems and semigroups journal May 2010
The multiband method in radiative transfer calculations journal August 1980
Homogenization of Transport Equations journal January 2000
Mean Absorption and Equivalent Absorption Coefficient of a Band Spectrum journal July 1938
On the Correlated k -Distribution Method for Radiative Transfer in Nonhomogeneous Atmospheres journal November 1992
The correlated-k method for radiation calculations in nonhomogeneous atmospheres journal December 1989
3D Radiative Transfer in Cloudy Atmospheres book January 2005
A numerical strategy for radiative transfer problems with higly oscillating opacities journal September 2013
The Full-Spectrum Correlated-k Distribution for Thermal Radiation From Molecular Gas-Particulate Mixtures journal June 2001
Grey radiative transfer journal June 1971
A statistical procedure for computing line-blanketed model stellar atmospheres with applications to the F5 IV star procyon journal January 1966
Memory effects and homogenization journal January 1990

Similar Records

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
opacity homogenization