Nonequilibrium Marshak wave problem

Technical Report · Mon Aug 07 04:00:00 EDT 1978

OSTI ID:6532619

Pomraning, G C

An analytic solution to a particular Marshak problem is given. The radiative transfer model used is the gray, non-equilibrium diffusion approximation, which allows the radiation and material fields to be out of equilibrium. This solution should be useful as a reference problem for validating time-dependent radiative transfer computer codes, as well as investigating the convergence, as a function of space and time step size, for such codes. The coupling of the radiation field to the material field in a multigroup code, a difficult numerical problem, can also be tested against this solution. Typical numerical results are given for surface quantities, integral quantities, and the distribution of radiative energy and material temperature as a function of space and time. 4 tables.

• Research Organization: California Univ., Livermore (USA). Lawrence Livermore Lab.
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6532619
• Report Number(s): UCID-17978
• Country of Publication: United States
• Language: English

Related Subjects

657006* -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
ENERGY TRANSFER
HEAT TRANSFER
INTERACTIONS
MARSHAK BOUNDARY CONDITIONS
MATTER
RADIATIONS
SLABS
SPACE DEPENDENCE
TIME DEPENDENCE