Describing functions have traditionally been used to obtain the
solutions of systems of ordinary differential equations. In this
work the describing function concept has been extended to include
nonlinear, distributed parameter partial differential equations. A
three-stage solution algorithm is presented which can be applied to
any nonlinear partial differential equation....
A two-dimensional perturbation theory computer code,
PERT-IV, has been developed that will calculate reactivity
coefficients, the delayed neutron fraction, and the neutron
generation time.
The program uses the output flux and adjoint
flux from either a diffusion theory or transport theory program.
A discussion and derivation of the perturbation equation...
The flooding phenomenon can be defined as the maximum attainable flow
condition beyond which the well defined countercurrent flow pattern can no longer
exist. Thus the countercurrent flow limit (CCFL) or the flooding limit may be thought
of as the flow condition at which the strong interaction between the two...
The solution of coupled neutronic/thermal hydraulic nuclear reactor calculations
requires the treatment of the nonlinear feedback induced by the thermal hydraulic
dependence of the neutron cross sections. As a result of these nonlinearities, current
solution techniques often diverge during the iteration process. These instabilities arise
due to the low level...