Implicit scheme for calculating time- and frequency-dependent flux limited radiation diffusion in one dimension

Journal Article · Tue May 01 00:00:00 EDT 1984 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(84)90114-1· OSTI ID:7057112

Axelrod, T S; Dubois, P F; Rhoades, Jr, C E

A flexible and accurate method for solving nonlinear time- and frequency-dependent flux limited radiation diffusion and radiation-matter coupling problems in one dimension is developed. The method is based on converting the set of partial differential equations for the flux-limited multigroup diffusion approximation into a systems ordinary differential equations which are integrated by a generalized stiff equation solver. Unlike previous operator-splitting techniques which can introduce instabilities into the solution or which produce smooth but highly inaccurate solutions, this scheme provides a reliable accurate solution with reduced overall computation effort. The solutions describe both the streaming and diffusion limits of transport theory and are stable with time steps comparable to the changes in physical variables. 20 references, 5 figures.

• Research Organization: Lawrence Livermore National Lab., CA
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 7057112
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 54:2; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

654001* -- Radiation & Shielding Physics-- Radiation Physics
Shielding Calculations & Experiments
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DIFFERENTIAL EQUATIONS
DIFFUSION
EQUATIONS
FREQUENCY DEPENDENCE
INSTABILITY
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
RADIATION STREAMING
RADIATION TRANSPORT
TIME DEPENDENCE