کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1728593 | 1521140 | 2013 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A highly accurate technique for the solution of the non-linear point kinetics equations A highly accurate technique for the solution of the non-linear point kinetics equations](/preview/png/1728593.png)
• The paper presents a novel semi-analytical technique to solve reactor kinetics equations.
• The solution of kinetics equations is sought starting from a piecewise constant approximation.
• The performance of the technique is improved via a corrective source term and iterative cycles.
• The high accuracy of the method is tested against literature for both linear and non-linear problems.
A novel methodology for the solution of non-linear point kinetic (PK) equations is proposed. The technique, based on a piecewise constant approximation (Kinard and Allen, 2004), is enhanced by explicitly accounting for the feedback and the reactivity variation within a time step through an iterative cycle. High accuracy is achieved by introducing a sub-mesh for the numerical evaluation of integrals involved and by correcting the source term to include the non-linear effect on a finer time scale. The resulting Enhanced Piecewise Constant Approximation (EPCA) is tested on a set of classical linear problems with several types of reactivity insertions (step, linear, sinusoidal, zig-zag) and shows extreme accuracy (to 9 digits) even when large time steps are considered (i.e., 100 times the neutron mean life). Non-linear reactor kinetics is then considered and compared to highly accurate results obtained via convergence acceleration. Its accuracy and the fast convergence make the EPCA algorithm particularly attractive for applications.
Journal: Annals of Nuclear Energy - Volume 58, August 2013, Pages 43–53