Fine Boundary--Layer structure in Linear Transport Theory

Abstract

This contribution identifies and characterizes a previously unrecognized boundary--layer structure that occurs in the context of linear transport theory, with an impact on the fields of Radiative Transfer and Neutron Transport. The existence of this boundary layer structure, which governs the interactions between different materials, or between a material and vacuum, plays a critical role in a correct description of transport phenomena. Additionally, the boundary--layer phenomenology explains and helps bypass computational difficulties reported in the literature over the last several decades.

References in corpus (4)

• Radiative transfer theory for vacuum fluctuations
• Higher-order in time "quasi-unconditionally stable" ADI solvers for the compressible Navier-Stokes equations in 2D and 3D curvilinear domains
• Numerical modeling of photon migration in human neck based on the radiative transport equation
• Asymptotic $P_N$ Approximation in Radiative Transfer Problems

Cited by in corpus (1)

• Parallel inverse-problem solver for time-domain optical tomography with perfect parallel scaling