NESC0408 TAC-2D.

1. NAME OR DESIGNATION OF PROGRAM:  TAC2D.

3. DESCRIPTION OF PROBLEM OR FUNCTION

TAC2D is designed to treat transient, two-dimensional heat transfer problems. Steady-state problems are treated by considering the problem to be a transient, starting with an assumed temperature distribution and running until equilibrium conditions are established. Geometrically, rectangular (x-y), cylindrical (r,z), or circular (r,theta) coordinates may be used.

4. METHOD OF SOLUTION

The heat conduction equation is replaced by an equivalent set of linear finite-difference equations. This set of equations is then solved by the Peaceman-Rachford implicit alternating direction method.

5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

(a) The grid line system must be orthogonal in the rectangu-  lar, cylindrical, or circular coordinate system. There-         fore, the sides of the nodal elements must be orthogonal.
The entire problem must be bounded by four grid lines in  one of the coordinate systems. Difficulties in treating  irregular boundaries can be overcome to some extent through         the use of materials having specially chosen properties.
   (b)  All radiation is treated one-dimensionally.
(c) There is no provision for change of phase. This special heat  transfer situation could be included by extension of the         existing programming.

6. TYPICAL RUNNING TIME:

7. UNUSUAL FEATURES OF THE PROGRAM

   (a)  The geometrical input is simple.
(b) The input of thermal parameters is by FORTRAN arithmetic  statement functions. Many of the calculation variables  (time, local temperature, local position) are available         for use in these functions.
   (c)  Internal and external flowing coolants may be used.
   (d)  There may be internal and external thermal radiation.
(e) There is a wide selection of optional output.  (f) There is a special option which may be used for obtaining         steady-state results efficiently.

8. RELATED AND AUXILIARY PROGRAMS

TAC3D (NESC Abstract 414), which is three-dimensional and has many of the features of TAC2D described in this abstract.

10. REFERENCES

- J.F.  Petersen,
  TAC2D, A General Purpose Two-Dimensional Heat Transfer Computer
  Code - Users  Manual,
  GA-8868, September 6, 1969.
- S.S. Clark and J.F. Petersen,
  TAC2D, A General Purpose Two-dimensional Heat Transfer Computer
  Code - Mathematical Formulations and Programmer's Guide,
  GA-9262, September 1969.
- D.W. Peaceman and H.H. Rachford,
  The Numerical Solution of Parabolic and Elliptic Differential
Equations, Society for Industrial and Applied Mathematics, Vol. 3,    pp. 28-41, March 1955.
- J.F. Petersen,
  TAC3D, A General Purpose Three-Dimensional Heat Transfer Computer
  Code  - User's Manual,
  GA-9263, September 1969.
- S.S. Clark, J.V. Del Bene, and J.F. Petersen,
  TAC3D, A General Purpose Three-dimensional Heat Transfer Computer
  Code - Mathematical Formulations  and Programmer's Guide,
  GA-9264, September 1969.
- TAC2D, NESC No. 408.1110, TAC2D Tape Description and
  Implementation Information,
  National Energy Software Center Note 85-32, November 30, 1984.
- TAC2D, NESC No. 408.360, TAC2D Tape Description and Implementation   Information,
  National Energy Software Center Note 82-95, August 25, 1982.
- S.M. Morcos and K.A. Williams,
The TAC2D Code, Version TFMABC-75-1, Part C: Code Verification and    Benchmark Problems,
  GA-A13415, June 1975.

- S.S. Clark and J.F. Petersen:
  TAC2D, A General Purpose Two-dimensional Heat Transfer Computer
  Code - Mathematical Formulations and Programmer's Guide.
  GA-9262  (September 1969)
- R.H. Boonstra:
  TAC3D, A General Purpose Three-Dimensional Heat Transfer Computer
  Code  - User's Manual.
  GA-A14032  (July 15, 1976)
- User's Manual to Modifications to TAC-2D.
  (November 1982)
- S.S. Clark and J.F. Petersen:
  TAC2D, A General Purpose Two-dimensional Heat Transfer Computer
  Code - Mathematical Formulations and Programmer's Guide.
  GA-9262  (September 1969)
- R.H. Boonstra:
  TAC3D, A General Purpose Three-Dimensional Heat Transfer Computer
  Code  - User's Manual.
  GA-A14032  (July 15, 1976)

11. MACHINE REQUIREMENTS

65K words are required on the UNIVAC1110 and  380K bytes on the IBM360. In addition to input/output, a maximum of  four and a minimum of no tapes are required depending upon the code  options  being used.

For execution of the test case on a UNIVAC 1110 computer, main storage requirements are 13482 IBANK words and 46500  DBANK words.

13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:  EXEC8
(UNIVAC1110), OS/360 (IBM360).

EXEC 8 39R7 (UNIVAC 1100/92).

14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS

The
FORTRAN H compiler was used to produce the sample output included in the IBM360 package. Use of the H-Extended compiler resulted in a
larger number of iterations with the associated variation in the printed results.

15. NAME AND ESTABLISHMENT OF AUTHORS

   1110    R.H. Boonstra*, S.S. Clark, J.V. Del Bene,
           D.W. Graumann, R. Katz, J.F. Petersen,
           J.C. Saeger, and M. Troost
           GA Technologies
           P.O. Box 85608
           San Diego, California 92138

    360    L. Garcia de Viedma*
           Nuclear Energy Agency Data Bank
           91191 Gif-sur-Yvette
           France

* Contact

File name	File description	Records
NESC0408_04.003	TAC-2D INFORMATION FILE	113
NESC0408_04.004	PREPROCESSOR SOURCE (FORTRAN)	175
NESC0408_04.005	PREPROCESSOR SOURCE (ASSEMBLER)	100
NESC0408_04.006	PREPROCESSOR JCL	59
NESC0408_04.007	TAC-2D STANDARD FUNCTIONS, SOURCE	10320
NESC0408_04.008	ROUTINES SUB, MADATA, SUHI, ETC. SOURCE	1419
NESC0408_04.009	TAC-2D, REMAINING PROGRAM SOURCE	7783
NESC0408_04.010	ROUTINE CUSTOM, 1ST PART SOURCE	102
NESC0408_04.011	TAC-2D JCL	65
NESC0408_04.012	PREPROCESSOR INPUT DATA	79
NESC0408_04.013	TAC-2D INPUT FOR TEST CASE	104
NESC0408_04.014	PREPROCESSOR OUTPUT ON UNIT 9	383
NESC0408_04.015	PREPROCESSOR OUTPUT ON UNIT 9 (CORRECTED)	383
NESC0408_04.016	TAC-2D OUTPUT OF TEST CASE	827

File name	File description	Records
NESC0408_05.001	Information File	56
NESC0408_05.002	Original Control Information and JCL	114
NESC0408_05.003	NEA-DB Control Information and JCL	67
NESC0408_05.004	TAC2D Source Program	10678
NESC0408_05.005	TAC2D MAP directives	36
NESC0408_05.006	TAC2D Thermal Properties	59
NESC0408_05.007	TAC2D Sample Problem Input	53
NESC0408_05.008	TAC2D Sample Problem Output	1858