NEA-0646 DASQHE.
DASQHE, Dancoff Correlation for Infinite Circular Rod Assembly in Square or Hexagonal Lattice
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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| Program name | Package id | Status | Status date |
|---|---|---|---|
| DASQHE | NEA-0646/01 | Tested | 09-MAY-1989 |
Machines used:
| Package ID | Orig. computer | Test computer |
|---|---|---|
| NEA-0646/01 | DEC VAX 8810 |
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3. DESCRIPTION OF PROBLEM OR FUNCTION
DASQHE produces Dancoff corrections for an infinite array of circular rods placed in a square or hexagonal lattice in a moderator. (The Dancoff correction is the relative reduction in the in-current of resonance neutrons into the fuel in a closely packed lattice compared to the in-current into a single fuel rod in an infinite moderator, due to the shadow- ing effect of adjacent rods.) The calculation may be done for a series of moderator cross sections if desired.
DASQHE produces Dancoff corrections for an infinite array of circular rods placed in a square or hexagonal lattice in a moderator. (The Dancoff correction is the relative reduction in the in-current of resonance neutrons into the fuel in a closely packed lattice compared to the in-current into a single fuel rod in an infinite moderator, due to the shadow- ing effect of adjacent rods.) The calculation may be done for a series of moderator cross sections if desired.
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4. METHOD OF SOLUTION
A collision probability method is used.
The trapezoidal rule is used for the integration of the Dancoff correction double integral, the linear and angular variables being discretized. Instead of considering a series of pairs of rods, a straightforward "chopper" method is utilised that disregards rods after a certain distance. (For principles of the solution method see references 2 and 3.) The effects of the fuel can (and gas coolant channel) is approximated by the homogenization of a gap surrounding each rod.
A collision probability method is used.
The trapezoidal rule is used for the integration of the Dancoff correction double integral, the linear and angular variables being discretized. Instead of considering a series of pairs of rods, a straightforward "chopper" method is utilised that disregards rods after a certain distance. (For principles of the solution method see references 2 and 3.) The effects of the fuel can (and gas coolant channel) is approximated by the homogenization of a gap surrounding each rod.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM
The neutron path is followed through 100 rows of rods if no intersection is found, that is the Dancoff correction is calculated for the central rod that is, the Dancoff correction is calculated for the central rod in an array of 201 x 201 rods. Even for the smallest moderator cross section used in the calculations, the distance to the nearest disregarded rod is 10 mean free paths.
The neutron path is followed through 100 rows of rods if no intersection is found, that is the Dancoff correction is calculated for the central rod that is, the Dancoff correction is calculated for the central rod in an array of 201 x 201 rods. Even for the smallest moderator cross section used in the calculations, the distance to the nearest disregarded rod is 10 mean free paths.
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6. TYPICAL RUNNING TIME
48 Dancoff corrections for various moderator cross sections in both square and hexagonal lattices took 2.4 minutes on the IBM 7044 using DASQHE together with a simple main routine.
48 Dancoff corrections for various moderator cross sections in both square and hexagonal lattices took 2.4 minutes on the IBM 7044 using DASQHE together with a simple main routine.
NEA-0646/01
About 2 seconds per Dancoff factor are required on a VAX 8810 computer. NEA-DB ran the test case included in this package in about 40 minutes of CPU time.[ top ]
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8. RELATED AND AUXILIARY PROGRAMS
DASQHE is a Fortran IV development of the code DANCOFF-5 which was written in Autocode for the Ferranti Mercury computer of AB Atomenergi. Previous Mercury Autocode programs were DANCOFF-2 and DANCOFF-4.
DANCOFF-3 is a Fortran program that calculates Dancoff corrections for fuel element rods near water gaps and for fuel rod clusters.
DASQHE is a Fortran IV development of the code DANCOFF-5 which was written in Autocode for the Ferranti Mercury computer of AB Atomenergi. Previous Mercury Autocode programs were DANCOFF-2 and DANCOFF-4.
DANCOFF-3 is a Fortran program that calculates Dancoff corrections for fuel element rods near water gaps and for fuel rod clusters.
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10. REFERENCES
- I. Carlvik:
"A Method for Calculating Collision Probabilities in General
Cylindrical Geometry and Applications to Flux Distributions and
Dancoff Factors"
U.N. Int. Conf. on the Peaceful Uses of Atomic Energy, Geneva, 3,
1964, Vol. 2, Geneva 1965, p. 225.
- I. Carlvik:
1964, AB Atomenergi, Sweden (Internal Report RFR-282).
- I. Carlvik:
"A Method for Calculating Collision Probabilities in General
Cylindrical Geometry and Applications to Flux Distributions and
Dancoff Factors"
U.N. Int. Conf. on the Peaceful Uses of Atomic Energy, Geneva, 3,
1964, Vol. 2, Geneva 1965, p. 225.
- I. Carlvik:
1964, AB Atomenergi, Sweden (Internal Report RFR-282).
NEA-0646/01, included references:
- I. Carlvik:Dancoff Correction in Square and Hexagonal Lattices
AE-257 (November 1966)
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED
DASQHE needs to be called from another program, or run with a simple user-written main routine.
DASQHE needs to be called from another program, or run with a simple user-written main routine.
NEA-0646/01
VMS V5.0-1 (VAX 8810).[ top ]
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NEA-0646/01
| File name | File description | Records |
|---|---|---|
| NEA0646_01.001 | Information File | 75 |
| NEA0646_01.002 | DASQHE Source + Sample MAIN + Bickley Rout. | 331 |
| NEA0646_01.003 | DASQHE Sample Problem Printed Output | 1406 |
Keywords: Dancoff correction, collisions, control elements, fuel rods, moderators, probability, reactor lattices, resonance.