CHOPS: Module to Compute Pointwise Disadvantage Factors and Produce a Cell-Homogenized CENTRM Library

M. L. Williams and L. M. Petrie

Introduction

CHOPS (Compute HOmogenized Pointwise Stuff) computes pointwise (PW) disadvantage factors from the PW zone fluxes on a CENTRM output file, and then multiples the disadvantage factors by continuous-energy (CE) cross section data in a CENTRM library to generate a new cell-homogenized CENTRM CE library. The PW disadvantage factor for zone “Z”, as a function of energy E, is calculated from the expression,

(116)\[D_{Z}(E)=\frac{\Phi_{Z}(E)}{\Phi_{C}(E)}\]

where \(\Phi_{Z}(E)\) is the CENTRM PW flux spectrum averaged over the volume of zone Z in the cell, and \(\Phi_{C}(E)\) is the PW flux averaged over the entire cell volume. The cell-homogenized CE cross section for a nuclide “j” is equal to

(117)\[\sigma_{C}^{(j)}(E)=\sum_{Z} F_{Z}^{(j)} D_{Z}(E) \sigma_{Z}^{(j)}(E)\]

where \(F_{Z}^{(j)}\) is the fraction of all nuclide–j atoms contained in zone Z, and \(\sigma_{Z}^{(j)}(E)\) is the CE cross section for nuclide-j at the temperature of zone Z. When multiplied by the cell-homogenized number density of nuclide-j and by the cell-average flux, the cross section expression in (116) gives the correct average reaction rate at energy E.

CHOPS is used in the automated double heterogeneity sequence in SCALE, in which a low-level heterogeneity, such as microspheres in a granular fuel element, are smeared into a homogenized absorber region appearing in the second level heterogeneity, such as fuel pellet or pebble appearing in a lattice. The disadvantage factors provide for flux weighting of the PW XS data so that the spatial self-shielding is treated correctly in the homogenized geometry. A second CENTRM PW transport calculation is performed with the cell-averaged PW library output by CHOPS in order to account for the additional self-shielding of the absorber pellets/pebbles in the lattice. CHOPS is called automatically by the XSProc module for double-heterogeneous unit cells, or it can run as a standalone code.

CHOPS Input Data

DATA BLOCK 1

0$$ LOGICAL UNIT ASSIGNMENTS (10 entries. Default values given in parentheses)

  1. lold – logical unit number of input CENTRM XS library (1)

2. lnew – logical unit number of output CENTRM homogenized XS library (2)

  1. lflx – logical unit number of input CENTRM PW flux library (3)

  2. ldis – logical unit number for edit of PW disadvantage factors (0)

  3. n15 – logical unit number for scratch (15)

  4. n16 – logical unit number for scratch (16)

  5. n17 – logical unit number for scratch (17)

  6. n18 – logical unit number for scratch (18)

  7. n19 – logical unit number for scratch (19)

  8. nsq – sequence number used in filename on unit “lnew” (1)

[Example: if lnew=11 and nsq=3: output filename of homogenized library= ft11f003]

1$$ INTEGER PARAMETERS (5 entries )

  1. idtap – identifier for the new library (55555)

[for macro library, the value of idtap is made negative]

2. nprt – output print option: 0 = > min print; 1 = > normal; 2 = > max print (0)

3. iden – if=0 = > define homogenized XS id = id on CENTRM flux file (0)

if>0 = > define homogenized XS id to be, (iden*106 + ZA)

  1. macr – type of XS output: 0 = > microscopic ; 1 = > macroscopic (0)

  2. icorr – not used (0)

2** REAL PARAMETERS (3 entries )

  1. tole – tolerance used to thin pointwise cross-sections (0.0025)

( 0.0 means no thinning is done )

  1. cleth – maximum lethargy between thinned pointwise cross-sections

points that allow a point to be discarded (0.25)

3. vfrac – multiplier applied to all output XS’s [eg, grain fraction] (1.0)

T [ TERMINATE DATA BLOCK 1 ]

CHOPS I/O units

Table 135 shows default logical unit numbers used by CHOPS. These values may be changed in the 0$$ array of input.

Table 135 Default I/O unit assignments for CHOPS.

Unit number

Description

1

2

3

15

16

17

18

19

Input CENTRM CE data library

Output homogenized CENTRM CE data library

Input pointwise CENTRM flux file

Scratch file

Scratch file

Scratch file

Scratch file

Scratch file

CHOPS Sample Input

The sample case in Listing 12 first executes a CENTRM unit cell geometry calculation using the CSAS-MG sequence, which by default generates the PW flux file on unit 15, as well as the CE nuclear data library on unit 81 for input to CHOPS. The standalone CHOPS code then computes a cell-homogenized CE library for the unit cell. The new homogenized CENTRM CE library is output on unit 91with filename: ft91f001

Listing 12 CHOPS sample input.
  =CSAS-MG      parm=centrm
 test case for CHOPS
v7-252n
READ COMP
' Fuel pellet
o          1 0 4.59675e-2 900.0 end
u-235   1 0 4.88385e-4 900.0 end
u-238   1 0 2.24804e-2 900.0 end
' Clad
zr         2 0 4.99789e-2 600.0 end
' Coolant
h          3 0 4.76619e-2 600.0 end
o          3 0 2.38310e-2 600.0 end
END COMP
READ CELLDATA
   latticecell squarepitch pitch=1.6  3
     fueld=1.262 1 cladd=1.350 2   end
END CELLDATA
END
=CHOPS
0$$  81 91 15 93 92  e
1$$  a2 1 e
2**  a3 1.0 e
 t
END