Finite Difference Techniques for the Solution of the Reactor Kinetics Equations.

Abstract

A class of finite difference methods called splitting techniques are presented for the solution of the multigroup diffusion theory reactor kinetics equations in two space dimensions. A subset of the above class is shown to be consistent with the differential equations and numerically stable. An exponential transformation of the semi-discrete equations is shown to reduce the truncation error of the above methods so that they beoome practical methods for two-dimensional problems. A variety of numerical experiments are presented which illusthate the truncation error, convergence rates, and stability of a particular member of the above class.

On the starting and operational transients at the core of the RMB based on 2D multigroup diffusion

“…In the validation of the CINESP module, we compared its results with two other codes: MITKIN [8,9] and TWIGL [10]. For this comparison we generate a transient for a heterogeneous, twodimensional reactor, for two energy groups, caused by the perturbation in the macroscopic capture cross section, in the thermal group.…”

“…For this comparison we generate a transient for a heterogeneous, twodimensional reactor, for two energy groups, caused by the perturbation in the macroscopic capture cross section, in the thermal group. This transient is described in references [8,9]. Table II Energy [11].…”