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1. Program Identification: ONETRAN 2. Computer for which program is designed: CDC-7600, IBM-360 3. Description of Function: ONETRAN solves the one-dimensional multigroup transport equation in plane, cylindrical, spherica~and two-angle plane geometries. Both regular and adjoint, inhomogeneous and homogeneous (keff and eigenvalue searches) problems subject to vacuum, reflective, periodic, white, albedo or inhomogeneous boundary flux conditions are solved. General anisotropfc scattering is allowed and antsotropic Inhomogeneous sources are permitted. 4. Method of solution: The discrete ordinates approximation for the angular vari– able 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. 5. Restrictions: Variable dimensioning is used so that any combination of problem parameters leading to a container array less than NAXCOR can be accommodated. On CDC machines MAXCOR can be about 25 000 words and peripheral storage is used for most group-dependent data. 6. 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 keff calculation with four outer iterations of an EBR-11 core requires 7.5 s on the CDC 7600. A 20-group, 134-interval mesh, S4 keff cell calculation with 12 outer iterations requires 5.5 min on the CDC 7600. 7. Unususl Features of the Program: Provision is made for creation of standard interface output files for ~ constants, inhomogeneous sources, angle-integrated fluxes, and angular fluxes. Standard interface input files for ~ constants, inhomogeneous sources, cross sections, and total or angular fluxes may be read. All binary operations are localized in subroutines RRED and RITE. Flexible edit options, including restart capability are provided. 8. 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. 9. Related Programs: ONETRAN may be used to provide initial conditions to the TIMEX code, a time-dependent kinetics version of ONETRAN. 10. Naterial Available: Source deck, test problems, results of executed test problems, and this report are available from the Argonne Code Center.

ONETRAN: a discrete ordinates finite element code for the solution of the one-dimensional multigroup transport equation