1. NAME AND TITLE

APARNA-II: Integral Transport Theory Code System Based on Discrete Ordinate Representation in Space and DirectionSlab Geometry.

2. CONTRIBUTOR

Reactor Research Centre, Government of India, Kalpakkam, India.

3. CODING LANGUAGE AND COMPUTER

FORTRAN IV; IBM 360/370.

4. NATURE OF PROBLEM SOLVED

APARNA-II solves the one-dimensional integral transport equation for neutrons with arbitrary anisotropic scattering in slab geometry. It is particularly suited for deep penetration problems.

5. METHOD OF SOLUTION

A discrete ordinates representation of spatial and angular variables is employed, and the multigroup equations are solved using a source-iteration procedure. Scattering anisotropy is accounted for using a truncated Legendre polynomial expansion. The Legendre components of the scattering matrix must be provided as input. A flexible scheme of two and three parameter interpolations for collision source is built in to enhance the stability of solution with coarse cell structure.

6. RESTRICTIONS OR LIMITATIONS

The problem size is restricted only by the machine size.

7. TYPICAL RUNNING TIME

A problem of 28 energy groups, 100 mesh points, and 3 regions will take approximately 2 minutes to run. The sample problem took 0.7 sec on the IBM 360/91.

8. COMPUTER HARDWARE REQUIREMENTS

APARNA-II runs on the IBM 360/370 series and requires 96 K active memory and one tape unit for auxiliary storage.

9. COMPUTER SOFTWARE REQUIREMENTS

A FORTRAN IV compiler is required.

Input-output assignments only are made.

10. REFERENCE

R. Vaidyanathan, "APARNA-II, Program to Solve Integral Transport Equation in Slab Geometry," FRG-RP-123 (no date).

11. CONTENTS OF CODE PACKAGE

Included are the referenced document and one (1.2MB) DOS diskette which contains the source code and sample problem input and output.

12. DATE OF ABSTRACT

December 1981, updated August 1991.