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.
KEYWORDS: ONE-DIMENSION; DISCRETE ORDINATES; MULTIGROUP; NEUTRON; SLAB; INTEGRAL BOLTZMANN EQUATION