NESC0414 TAC-3D

TAC-3D, 3-D Steady-State and Transient Heat Transfer in X-Y-Z and R-Theta-Z Geometry

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: TAC3D

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2. COMPUTERS

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Program name	Package id	Status	Status date
TAC-3D	NESC0414/01	Tested	09-NOV-1983
TAC-3D	NESC0414/02	Tested	01-NOV-1972

Machines used:

Package ID	Orig. computer	Test computer
NESC0414/01	CDC CYBER 740	CDC CYBER 740
NESC0414/02	UNIVAC 1108	UNIVAC 1108

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3. DESCRIPTION OF PROBLEM OR FUNCTION

TAC3D is designed to treat transient, three-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, the problem may be defined by either rectangular (x,y,z) or cylindrical (r,z,theta) coordinates.

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4. METHOD OF SOLUTION

The heat conduction equation is replaced by an equivalent set of linear finite-difference equations. These are solved by an implicit alternating-direction scheme which requires a regular geometry in that the points at which temperatures are to be calculated must be in regular rows, columns, and planes. As a consequence, TAC3D is primarily suited to solve problems that roughly fit an envelope of either a rectangular parallelepiped or an incomplete right circular cylinder.

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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

(a) The grid plane system must be orthogonal in the rectangular or cylindrical coordinate system. Therefore, the sides of the nodal elements must also be orthogonal. The entire problem must be bounded by 6 grid planes on 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 are no provisions for thermal expansion or change of phase Such special heat transfer situations could be included by extensions of the existing programming.

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6. TYPICAL RUNNING TIME

NEA-DB executed the test case on CDC CYBER740 in 521 seconds of CPU time.

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7. UNUSUAL FEATURES OF THE PROGRAM

(a) The geometrical input is simple.
(b) The input of thermal parameters is by FORTRAN V arithmetic statement functions. Many of the calculation variables (time, local temperature, local position, etc.) 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.

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8. RELATED AND AUXILIARY PROGRAMS

TAC2D (NESC Abstract 408), which
is two-dimensional and has all the features of TAC3D, and RAT3D,
which TAC3D replaced.

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9. STATUS

Package ID	Status date	Status
NESC0414/01	09-NOV-1983	Tested at NEADB
NESC0414/02	01-NOV-1972	Tested at NEADB

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10. REFERENCES

             J. Douglas,  Alternating Direction Methods  for Three
Space Variables, Numerical Mathematics, Vol. 4, pp. 41-63, 1962.
             J. F.  Petersen,   TAC2D,  A  General   Purpose  Two-
dimensional Heat Transfer Computer Code  - User's Manual, GA-8868,
September 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.

NESC0414/01, included references:

- 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).

NESC0414/02, included references:

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11. MACHINE REQUIREMENTS

65K memory. A maximum of four and a
minimum of no tapes are required, depending upon the code options
being used.

NESC0414/01

210,500 octal words of main storage are required for test case execution on CDC CYBER 740.

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12. PROGRAMMING LANGUAGE(S) USED

Package ID	Computer language
NESC0414/01	FORTRAN-IV
NESC0414/02	FORTRAN-V (UNIVAC)

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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:
EXEC-2 (UNIVAC 1108); NOS (CDC CYBER 740).

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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:

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15. NAME AND ESTABLISHMENT OF AUTHOR

                 J. F. Petersen
                 General Atomic Company
                 P. O. Box 81608
                 San Diego, California  92138

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16. MATERIAL AVAILABLE

NESC0414/01

File name	File description	Records
NESC0414_01.003	TAC-3D INFORMATION FILE	38
NESC0414_01.004	TAC-3D JCL TO RUN TEST CASE	10
NESC0414_01.005	TAC-3D SOURCE (FORTRAN-4)	10466
NESC0414_01.006	TAC-3D INPUT DATA FOR TEST CASE	81
NESC0414_01.007	TAC-3D PRINTED OUTPUT OF TEST CASE	1815

NESC0414/02

File name	File description	Records
NESC0414_02.001	SOURCE PROGRAMME	8111
NESC0414_02.002	SAMPLE PROBLEM	81
NESC0414_02.003	PRINTED OUTPUT	2023

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17. CATEGORIES

H. Heat Transfer and Fluid Flow

Keywords: coolants, heat transfer, r-theta-z, three-dimensional, transients, x-y-z.