A Taylor series solution of the reactor point kinetics equations

Details A Taylor series solution of the reactor point kinetics equations A Taylor series solution of the reactor point kinetics equations

2010-01-22

arxiv.org/abs/1001.4100v2

Physics

Computational Physics

13 pages, added 3 new figures, and 3 new reactivity conditions. Corrected data in table for sin reactivity case

Scientific paper

The method of Taylor series expansion is used to develop a numerical solution to the reactor point kinetics equations. It is shown that taking a first order expansion of the neutron density and precursor concentrations at each time step gives results that are comparable to those obtained using other popular and more complicated methods. The algorithm developed using a Taylor series expansion is simple, completely transparent, and highly accurate. The procedure is tested using a variety of initial conditions and input data, including step reactivity, ramp reactivity, sinusoidal, and zigzag reactivity. These results are compared to those obtained using other methods.

Affiliated with

Also associated with

No associations

Rating

A Taylor series solution of the reactor point kinetics equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Taylor series solution of the reactor point kinetics equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Taylor series solution of the reactor point kinetics equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-514581