**1. NAME AND TITLE**

BISON1.5: A One-dimensional Discrete Ordinate Transport and Burnup Calculation Code.
(**B**urnup of **Is**otopes and **On**e-Dimensional Transport.)

**AUXILIARY ROUTINE**

BCD to Binary Cross-Section Converter.

**DATA LIBRARIES**

BISON58: 42-group neutron and 21-group gamma-ray coupled cross section set for 58 nuclides.

ACIX: Nuclear data library for burnup calculation.

ACIX-Th: Subset of ACIX for Th-U fuel cycle.

ACIX-Pu: Subset of ACIX for U-Pu fuel cycle.

**2. CONTRIBUTOR**S

Nuclear Engineering Research Laboratory, Faculty of Engineering, U. Tokyo, Tokai-mura, and
Nuclear Engineering Department, U. Tokyo, Tokyo, Japan.

**3. CODING LANGUAGE AND COMPUTER**

Fortran 77; HITAC M-200H.

**4. NATURE OF PROBLEM SOLVED**

BISON performs burnup calculations based on one-dimensional transport theory. It can calculate
the following values for slab, cylindrical, or spherical geometry through the progress of fuel burnup:
(1) Neutron and gamma ray flux, (2) Nuclear heating rate, (3) Effective neutron multiplication factor,
(4) Neutron and gamma-ray energy spectra, (5) Reaction rate, radiation damage, or detector response.
It is particularly applicable for fusion-fission hybrid reactor calculations.

**5. METHOD OF SOLUTION**

The one-dimensional transport equation is solved using the discrete ordinates method; the ANISN code provided the subroutines for this process. Bateman's method is adopted to solve the production-depletion equations for burnable nuclides. Burnup calculation is carried out by performing these two processes iteratively.

BISON1.5 can be used for adjoint calculations. The data input can be in free format. Other
features are the same as for the original version of BISON.

**6. RESTRICTIONS OR LIMITATIONS**

Variable dimensioning is employed in BISON. There is no limitation in each array size, only in
the total array size.

**7. TYPICAL RUNNING TIME**

On the HITAC M-200H computer, the sample problem required about 11 minutes using the IAP
(Integrated Array Processor).

**8. COMPUTER HARDWARE REQUIREMENTS**

BISON is designed for and operable on the HITAC M-200H computer. The core requirement for
a total array size of 160,000 is 1500 K. Maximum auxiliary storage requirements, in addition to the
standard input and output devices, are 10 storage devices.

**9. COMPUTER SOFTWARE REQUIREMENTS**

BISON is written in Fortran 77.

A subroutine, CLOCK, is called to sample CPU time. This subroutine should be substituted for
the appropriate system subroutine in the other systems.

**10. REFERENCES**

**a. Included in the documentation:**

K. Furuta, Y. Oka, and S. Kondo, "BISON1.5: A One-Dimensional Transport and Burnup
Calculation Code," Informal Notes (February 1987).

**b. Background information:**

Y. Seki and H. Iida, "Coupled 42-Group Neutron and 21-Group Gamma-Ray Cross Section Sets for Fusion Reactor Calculations," JAERI-M 8818 (1980).

K. Koyama et al., "ANISN-JR, A One-Dimensional Discrete Ordinates Code for Neutron and
Gamma-Ray Transport Calculations," JAERI-M 6954 (1977).

**11. CONTENTS OF CODE PACKAGE**

Included are the document referenced in (10.a) and one (1.2MB) DOS diskette which contains the
source code, sample problem input and output, and BISON data libraries.

**12. DATE OF ABSTRACT**

October 1984; Revised June 1987.

**KEYWORDS: ** ADJOINT; ONE-DIMENSION; BURNUP; DISCRETE ORDINATES; ISOTOPE
INVENTORY; MULTIGROUP; NEUTRON; GAMMA-RAY; ACTINIDES