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CCC-0266 ONETRAN.

ONETRAN, 1-D Transport in Planar, Cylindrical, Spherical Geom. for Homogeneous, Inhomogeneous Probl., Anisotropic Source

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1. NAME OR DESIGNATION OF PROGRAM:  ONETRAN.
A discrete ordinates finite element code for the solution of the one-dimensional multigroup transport equation.
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2. COMPUTERS
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Program name Package id Status Status date
ONETRAN CCC-0266/02 Tested 14-DEC-1982

Machines used:

Package ID Orig. computer Test computer
CCC-0266/02 IBM 3033 IBM 3033
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3. DESCRIPTION OF PROBLEM OR FUNCTION

ONETRAN solves the one- dimensional multigroup transport equation in plane, cylindrical, spherical, and two-angle plane geometries. Both regular and adjoint, inhomogeneous and homogeneous (K-eff and eigenvalue searches) problems subject to vacuum, reflective, periodic, white, albedo or inhomogeneous boundary flux conditions are solved. General anisotropic scattering is allowed and anisotropic inhomogeneous sources are permitted.
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4. METHOD OF SOLUTION

The discrete ordinates approximation for the angular variable is used with the diamond (central) difference approximation for the angular extrapolation in curved geometries. A  linear discontinuous finite element representation for the angular flux in each spatial mesh cell is used. Negative fluxes are eliminated by a local set-to-zero and correct algorithm. Standard inner (within-group) iteration cycles are accelerated by system rebalance, coarsemesh rebalance, or Chebyshev acceleration. Outer iteration cycles are accelerated by coarse-mesh rebalance.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

Variable dimensioning is used so that any combination of problem parameters leading to a container array less than MAXCOR can be accommodated. On CDC machines MAXCOR can be about 25 000 words and peripheral storage is used for most group-dependent data.
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6. TYPICAL RUNNING TIME

ONETRAN is approximately twice as slow as DTF-IV per inner iteration for the same space-angle mesh. However, ONETRAN has twice as many unknowns per spatial mesh cell and a coarser spatial mesh than DTF-IV will normally give equivalent accuracy. Furthermore, ONETRAN will usually converge to DTF-IV equivalent accuracy in fewer total iterations.
A 6-group, 106-interval mesh, S2 K-eff calculation with four outer iterations of an EBR-II core reqires 7.5 s on the CDC 7600. A 20- group, 134-interval mesh, S4 K-eff cell calculation with 12 outer iterations requires 5.5 min on the CDC 7600.
The 13 test cases included in the package have been executed by NEA- DB on IBM 3033 in 741 CPU seconds.
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7. UNUSUAL FEATURES OF THE PROGRAM

Provision is made for creation of  standard interface output files for Sn constants, inhomogeneous sources, angle-integrated fluxes, and angular fluxes. Standard interface input files for Sn constants, inhomogeneous sources, cross sections, and total or angular fluxes may be read. All binary operations are localized in subroutines REED and RITE. Flexible edit options, including restart capability are provided.
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8. RELATED AND AUXILIARY PROGRAMS

ONETRAN may be used to provide initial conditions to the TIMEX code, a time-dependent kinetics version of ONETRAN.
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9. STATUS
Package ID Status date Status
CCC-0266/02 14-DEC-1982 Tested at NEADB
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10. REFERENCES

- R. Douglas O'Dell and Raymond E. Alcouffe:
  Transport Calculations for Nuclear Analyses: Theory and
  Guidelines for Effective Use of Transport Codes
  LA-10983-MS and UC-32 (September 1987)
CCC-0266/02, included references:
- T.R. Hill:
  ONETRAN, A Discrete Ordinates Finite Element Code for the Solution
  of the One-Dimensional Multigroup Transport Equation
  LA-5990-MS + Errata (June 1975).
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11. MACHINE REQUIREMENTS

Five interface units (use of interface units  is optional), five output units, and two system input/output units are required. A large bulk memory is desirable, but may be replaced  by disk, drum, or tape storage.
Main storage requirements on IBM 3033 are 596K bytes.
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
CCC-0266/02 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

Contributed by:
Radiation Shielding Infornation Center
Oak Ridge National Laboratory
Post Office Box X
Oak Ridge, Tennessee 37830
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16. MATERIAL AVAILABLE
CCC-0266/02
File name File description Records
CCC0266_02.003 ONETRAN INFORMATION FILE 45
CCC0266_02.004 ONETRAN SOURCE PROGRAM (FORTRAN-4) 6179
CCC0266_02.005 ONETRAN INPUT DATA FOR 13 TEST CASES 2917
CCC0266_02.006 ONETRAN OUTPUT OF 13 TEST CASES 20446
CCC0266_02.007 ONETRAN JCL & INFORMATION 83
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17. CATEGORIES
  • C. Static Design Studies

Keywords: discrete ordinate method, finite element method, multigroup theory, neutron transport equation, neutron transport theory, one-dimensional, transport theory.