Numerical method for solving radiativetransfer equations in onedimensional problems of radiative gasdynamics
Abstract
The paper performs an integration with respect to angles and energies of quanta of the exact solution of the spectralradiation transfer equation for an approximate profile of gasdynamic parameters in conditions of spherical geometry. Averaging coefficients are determined which characterize the absorption and emission of radiation by a cell of the difference mesh. A difference scheme is developed for averaged transfer equations with regard to unilateral radiative fluxes through a spherical surface; the scheme can be used to analyze media of arbitrary optical thickness. The proposed method is used to solve the onedimensional planeproblem of the effect of Ndlaser radiation with a constant energy flux density on an aluminum barrier in vacuum; allowance is made for the angular and spectral structures of plasma thermal radiation.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 February 1983
 Bibcode:
 1983ZVMMF..23..142G
 Keywords:

 Computational Fluid Dynamics;
 Gas Dynamics;
 Laser Target Interactions;
 One Dimensional Flow;
 Radiative Transfer;
 Finite Difference Theory;
 Neodymium Lasers;
 Numerical Integration;
 Plasma Radiation;
 Fluid Mechanics and Heat Transfer