A SEMI-ANALYTIC EIGENVALUE EXTENSION TO THE DOPPLER SLAB ANALYTIC BENCHMARK1

Advancement in multiphysics simulation has motivated interest availability of analytic and semi-analytic benchmark solutions. These solutions are sought because they can be used to assess the accuracy complicated numerical schemes necessary simulate coupled physics systems. While there exist for fixed-source problems, benchmark-quality eigenvalue problems more closely align with analyses undertaken solvers. This paper extends a benchmark, Doppler Slab case. A novel solution this is derived. Numerical implementation demonstrated through verification computation power reactivity coefficient.