ABSTRACT
This chapter presents the application of the Second-Order Adjoint Sensitivity Analysis Methodology (2nd-ASAM) to a problem of monoenergetic radiation transport through a heterogeneous nonmultiplying three-dimensional medium that does not scatter the respective radiation more than once. Such radiation transport phenomena are modeled mathematically by a simplified form of the Boltzmann transport equation, customarily called the "ray-tracing form," in which the seven-dimensional integro-differential Boltzmann transport equation is simplified to a partial differential equation in three spatial independent variables. The chapter presents the computation of the first-order sensitivities of a radiation detector response to the model parameters and the computation of the second-order response sensitivities. It summarizes the salient conclusions for this application of the 2nd-ASAM and highlights the connection between an idealized ray-tracing surrogate model and the idealized surrogate dissolver model.
