A Self-Adjoint Angular Flux Equation

Abstract

The traditional second-order self-adjoint forms of the transport equation are the even- and odd-parity equations. A useful alternative to these equations exists in the form of a second-order self-adjoint equation that has the angular flux as its unknown. The numerical advantages and disadvantages of this equation are contrasted both theoretically and computationally with those of the even- and odd-parity equations.