The achievement of 60% beta and near classical confinement in the Russian Gas Dynamic Trap (GDT) provides a basis for extrapolating to a 2 MW neutron source with 2 MW m-2 of 14 MeV neutron flux over an area of ~1 m2. Such a source is needed for fusion materials development and qualification. We consider two axisymmetric configurations: a single mirror cell Deuterium-Tritium Dynamic-Trap Neutron Source (DTNS) and a Tandem-mirror Neutron Source (TNS). Compared to earlier US neutron source concepts, neither configuration utilizes complex minimum-B magnets or thermal barriers. In this paper we describe extrapolations from GDT with the same physical size, and the same dimensionless plasma parameters, but with higher magnetic field as well as higher neutral beam energy and power.