Asymptotic Derivation of the Simplified P_N Equations for Nonclassical Transport with Anisotropic Scattering

2020/01/16 by Robert K. Palmer, Palmer, Robert K., Richard Vasques +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear Theory (nucl-th) #math-ph #math.MP #nucl-th

paper · pdf · doi:10.48550/arxiv.2001.05890

24 pages

arxiv created 2020/01/16 · arxiv updated 2020/01/17

Abstract

This paper introduces new asymptotic analysis used to derive the set of simplified nonclassical P_N equations with anisotropic scattering.

Related

• Simplified P_N Equations for Nonclassical Transport with Isotropic Scattering
• Green's functions for non-classical transport with general anisotropic scattering
• A rigorous model reduction for the anisotropic-scattering transport process
• The second-order formulation of the P_N equations with Marshak boundary conditions
• The Fourier transform solution for the Green's function of monoenergetic neutron transport theory