Infinite Slab Geometry Research Articles

Accelerating Convergence of Discrete-Ordinates Methods

Discrete-ordinates methods for the solution of the mono-energetic transport equation in infinite slab and infinite cylindrical geometry are considered. A numerical method for each geometry is defined, and successive over-relaxation schemes for accelerating the convergence of iterative solutions to each approximate equation system are illustrated. Numerical evidence is given to show that the successive overrelaxation schemes have a considerably higher rate of convergence than the standard Gauss-Jacobi iterative schemes. For the method for cylinders, the evidence shows also that the use of the acceleration technique results in a factor of at least 2.0 improvement in the actual time required to solve a range of problems to given accuracy.

Integral Transport Theory of Thermal Utilization Factor in Infinite Slab Geometry

Using transport theory in the cylindrical fuel region of a heterogenous reactor, Amouyal and Benoist proposed new formulas to compute the disadvantage factors used in the determination of the thermal utilization factor The same method when applied to an infinite slab geometry gives simple expressions for the fuel and moderator disadvantage factors. (auth)

Analytic Solutions for Transient Temperature Distributions in Two-Region Nuclear Reactor Fuel Elements

Analytic solutions are developed for the transient temperature distributions in two-region nuclear reactor fuel elements. One region contains a space-independent heat source having an arbitrary time dependence; the other region is source-free. Infinite cylinder and infinite slab geometries are considered, and simplifying assumptions are discussed which reduce the general solutions to simple forms of special interest in reactor safety studies.