On Numerical Solution to the Problem of Criticality

نویسنده

  • Jan Kyncl
چکیده

The contribution deals with numerical solution to the problem of criticality for neutron transport equation using the source iteration method. Especially question of convergence of iterations is examined. It is inferred that a slow convergence can be expected if optical thickness of the space region considered is large. For such a case it is next shown that the results may strongly be affected by the fact that individual iterations are not computed with sufficient accuracy and consequently that the choice of initial source distribution need not influence quality of final result substantially. These findings are illustrated by several results of computations with Monte Carlo code MCNP. Finally another problems are pointed out, which concern application of computing codes based on source iteration method, to criticality analysis.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Some properties of band matrix and its application to the numerical solution one-dimensional Bratu's problem

A Class of new methods based on a septic non-polynomial spline function for the numerical solution one-dimensional Bratu's problem are presented. The local truncation errors and the methods of order 2th, 4th, 6th, 8th, 10th, and 12th, are obtained. The inverse of some band matrixes are obtained which are required in proving the convergence analysis of the presented method. Associated boundary f...

متن کامل

Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets

In this paper we reduce a free boundary problem from heat transfer to a weakly Singular Volterra  integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on wavelets, then we apply the Chebyshev wavelets to solve the integral equation. Numerical implementation of the method is illustrated by two ben...

متن کامل

Numerical and Analytical Approach for Film Condensation on Different Forms of Surfaces

This paper tries to achieve a solution for problems that concern condensation around a flat plate, circular and elliptical tube in by numerical and analytical methods. Also, it calculates entropy production rates. At first, a problem was solved with mesh dynamic and rational assumptions; next it was compared with the numerical solution that the result had acceptable errors. An additional suppor...

متن کامل

On the numerical solution of Urysohn integral equation using Legendre approximation

Urysohn integral equation is one of the most applicable topics in both pure and applied mathematics. The main objective of this paper is to solve the Urysohn type Fredholm integral equation. To do this, we approximate the solution of the problem by substituting a suitable truncated series of the well known Legendre polynomials instead of the known function. After discretization of the problem o...

متن کامل

Determination of Criticality Indexes in the Remanufacturing Process: A GERT-based Simulation Approach

In this paper one of the important “end of life options” (remanufacturing) has been analysed. Among the related studies surveyed the various remanufacturing aspects, less attention has been paid to the stochastic process routing. In this regard, a remanufacturing process routing with stochastic activities is modelled as a GERT network. One of the efficient ways to analyse a remanufacturing proc...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003