Application of spaceangle synthesis to twodimensional neutralparticle transport problems of weapon physics
Abstract
A spaceangle synthesis (SAS) method has been developed for treating the steadystate, two dimensional transport of neutrons and secondary gamma rays from a point source of simulated nuclear weapon radiation in air. The method was validated by applying it to the problem of neutron transport from a point source in air over a ground interface, and then comparing the results to those obtained by DOT, a stateoftheart, discreteordinates code. In the SAS method, the energy dependence of the Boltzmann transport equation was treated in the standard multigroup manner. The angular dependence was treated by expanding the flux in specially tailored trial functions and applying the method of weighted residuals which analytically integrated the transport equation over all angles. The trial functions used in the expansion were composed of odd and even combinations of selected trial solutions, the trial solutions being shaped ellipsoids which approximated the angular distribution of the neutron flux in onedimensional space. The parameters which described the shape of the ellipsoid varied with energy group and the spatial medium, only, and were obtained from a onedimensional, discreteordinates calculation. Thus, approximate transport solutions were made available for all twodimensional problems of a certain class by using tabulated parameters obtained from a single, onedimensional calculation.
 Publication:

Final Report Air Force Weapons Lab
 Pub Date:
 January 1976
 Bibcode:
 1976afwl.rept.....R
 Keywords:

 Atmospheric Conductivity;
 Gamma Rays;
 Neutron Scattering;
 Nuclear Weapons;
 Computerized Simulation;
 Point Sources;
 Radiation Distribution;
 Transport Theory;
 Two Dimensional Flow;
 Nuclear and HighEnergy Physics