Computer Programs

NESC0310 GAKIN2

NESC0310 GAKIN2

GAKIN-2, 1-D MultiGroup Time-Dependent Neutron Diffusion, Finite Difference Method

NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROBLEM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHOR, MATERIAL, CATEGORIES

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1. NAME OR DESIGNATION OF PROGRAM: GAKIN2

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2. COMPUTERS

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Program name	Package id	Status	Status date
GAKIN-2	NESC0310/03	Tested	01-MAR-1979

Machines used:

Package ID	Orig. computer	Test computer
NESC0310/03	IBM 370 series	IBM 370 series

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3. DESCRIPTION OF PROBLEM OR FUNCTION

GAKIN2 solves the time-
dependent multigroup neutron diffusion equations in one space
dimension.

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4. METHOD OF SOLUTION

The  space  dimension is  treated  using  the
conventional finite difference approximation.  Time integration is
accomplished using an exponential transformation and semi-implicit
differencing.   The  resulting  equations   are  solved  by  first
predicting  the frequency  for the  time  transformation and  then
correcting the solution by solving the full set of equations.

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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

Variable
dimensioning permits accommodation of any number of energy groups,
space points, and material regions, within the limits of available
storage.  The  number of delayed neutron  groups is limited  to 6.
The number  of bytes allocated for  data storage is a  function of
the dimension of COMMON block A.  The size of A, which is also the
value of the variable MAX, must be greater than
           8(P(G+D) + 2GD + 10G + G(G+1) + 25R
            + 19RG + RG**2 + 11P + 4PG + 2N + 50)
where
   R is the number of regions,
   G is the number of neutron energy groups,
   D is the number of delayed neutron groups,
   P is the number of space points, and
   N is the number of test points for testing convergence and
     predicting transformation frequencies (recommended value is
     one or two times the number of material regions, R).

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6. TYPICAL RUNNING TIME

Computation time  per problem  time-step is
roughly approximated by  (2 * 10**(-4)) * (P(G +  0.3D)), where P,
G,  and D  are defined  as in  item  5 above.   NESC compiled  and
executed the sample problems in less than 2 minutes of CPU time on
an IBM370/195.

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7. UNUSUAL FEATURES OF THE PROGRAM

GAKIN2 permits an arbitrarily
large number of neutron energy groups.

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8. RELATED AND AUXILIARY PROGRAMS

GAKIN2 is a revision of the GAKIN
code with improved temporal treatment. The original IBM370
version of GAKIN2 was submitted by John W. Mason and Kent F.
Hansen of the Massachusetts Institute of Technology.

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9. STATUS

Package ID	Status date	Status
NESC0310/03	01-MAR-1979	Tested at NEADB

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10. REFERENCES

J. H.  Mason  and K.  F.  Hansen,  GAKIN II,  A  One-
dimensional  Multigroup Diffusion  Theory  Reactor Kinetics  Code,
MITNE-151, August 1973.
             E.  T.  Dugan,  Errata  MITNE-151,  NESC  Note  79-9,
GAKIN2, December 6, 1978.
             K. F.  Hansen  and  S.  R.  Johnson,  GAKIN,  A  One-
dimensional Multigroup Kinetics Code, GAMD-7543, August 1967.

NESC0310/03, included references:

  - J. H. Mason, and K. F. Nansen;
    GAKIN II: A One-Dimensional Multigroup Diffusion Theory Reactor
    Kinetics Code. COO-2262-3 MITNE-151 (August 1973).
  - K. F. Hansen, and S. R. Johnson;
    GAKIN: A One-Dimensional Multigroup Kinetics Code. GA-7543
    (August 24, 1967).

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11. MACHINE REQUIREMENTS: 275K bytes of storage on an IBM370/195

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12. PROGRAMMING LANGUAGE(S) USED

Package ID	Computer language
NESC0310/03	FORTRAN-IV

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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED: OS/370.

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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:

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15. NAME AND ESTABLISHMENT OF AUTHOR

   Contact       E. T. Dugan
                 Department of Nuclear Engineering Sciences
                 University of Florida
                 202 Nuclear Sciences Center
                 Gainesville, Florida  32611

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16. MATERIAL AVAILABLE

NESC0310/03

File name	File description	Records
NESC0310_03.002	SOURCE PROGRAM (F4,EBCDIC)	2579
NESC0310_03.003	SAMPLE PROBLEM INPUT DATA (CASE 1)	60
NESC0310_03.004	SAMPLE PROBLEM INPUT DATA (CASE 2)	62
NESC0310_03.005	SAMPLE PROBLEM PRINTED OUTPUT (CASE 1)	617
NESC0310_03.006	SAMPLE PROBLEM PRINTED OUTPUT (CASE 2)	908

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17. CATEGORIES

F. Space - Time Kinetics, Coupled Neutronics - Hydrodynamics - Thermodynamics

Keywords: cylinders, multigroup, neutron diffusion equation, one-dimensional, slabs, spheres.