Shift Reference Model for SEFOR Core I-E
The SEFOR core could accommodate a maximum of 109 hexagon fuel assemblies. A standard fuel assembly contained six fuel rods arranged around a central structure rod and reinforced with six steel side rods. These fuel rods contained ~18.7% fissile plutonium (Pu239 and Pu241) and were held in their positions by a hex sleeve surrounding a central rod. In addition to the Standard fuel Assemblies (SA), several variants were used in SEFOR core configuration I-E, including substitutions for standard fuel rods by Guinea Pig (GP) rods with higher fissile Pu concentration of 25.0% or by B4C rods (AFA). A “Drywell” channel was located at the center of the core, which was mostly empty and housed experimental devices such as the Fast Reactivity Excursion Device (FRED) during transient tests.
Inputs
The input for developing the Shift reference model Core I-E is listed in Listing 1 and Listing 2. The Shift simulation employed 500,000 neutron histories per cycle for a total of 500 cycles, of which 50 cycles were inactive. This calculation conditions produced a standard deviation in k-eff of approximately 4 pcm.
Listing 1:
' --- SEFOR I-E at 450 K
' --- Author: Donny Hartanto, October 2024
' -----------------------------------------------------------------------------
' - Both axial and radial expansions are considered.
' - Length of the regions in the both Ni axial reflectors and core is expanded
' according to the linear thermal expansion coefficient in the benchmark.
' - Fuel rod length followed the specification in Table 1. BeO and SS length
' followed the spec in Table 2, however the expansion of SS is limited only
' to the fuel rod region. No SS expansion in Na-steel and Na-grid plate region.
' - Specifically, the radial and axial expansion coefficient is applied to fuel, BeO,
' SS, Ni. B4C is only expanded radially.
' - Nuclide density of the expanded region is reduced according to its volume
' radio reduction to conserve the mass.
=csas6-shift
SEFOR Core I-E at 450 K
ce_v7.1_endf
read comp
' Standard Fuel (18.7%)
pu-239 1 0.0 4.08031E-03 449.8167 end
pu-240 1 0.0 3.66406E-04 449.8167 end
u-235 1 0.0 3.83521E-05 449.8167 end
u-238 1 0.0 1.73945E-02 449.8167 end
o-16 1 0.0 4.37142E-02 449.8167 end
' Guinea Pig Fuel (25.0%)
pu-239 2 0.0 5.45489E-03 449.8167 end
pu-240 2 0.0 4.89849E-04 449.8167 end
u-235 2 0.0 3.50453E-05 449.8167 end
u-238 2 0.0 1.58946E-02 449.8167 end
o-16 2 0.0 4.36894E-02 449.8167 end
' UO2 insulator
u-235 3 0.0 4.92079E-05 449.8167 end
u-238 3 0.0 2.23181E-02 449.8167 end
o-16 3 0.0 4.47347E-02 449.8167 end
' Coolant at 450 K
na-23 11 0.0 2.39160E-02 449.8167 end
' SS-316
cr-50 21 0.0 6.90859E-04 449.8167 end
cr-52 21 0.0 1.33222E-02 449.8167 end
cr-53 21 0.0 1.51071E-03 449.8167 end
cr-54 21 0.0 3.76040E-04 449.8167 end
fe-54 21 0.0 3.41037E-03 449.8167 end
fe-56 21 0.0 5.35351E-02 449.8167 end
fe-57 21 0.0 1.23633E-03 449.8167 end
fe-58 21 0.0 1.64532E-04 449.8167 end
mo-100 21 0.0 1.22044E-04 449.8167 end
mo-92 21 0.0 1.88080E-04 449.8167 end
mo-94 21 0.0 1.17230E-04 449.8167 end
mo-95 21 0.0 2.01769E-04 449.8167 end
mo-96 21 0.0 2.11398E-04 449.8167 end
mo-97 21 0.0 1.21032E-04 449.8167 end
mo-98 21 0.0 3.05815E-04 449.8167 end
ni-58 21 0.0 7.61491E-03 449.8167 end
ni-60 21 0.0 2.93327E-03 449.8167 end
ni-61 21 0.0 1.27504E-04 449.8167 end
ni-62 21 0.0 4.06546E-04 449.8167 end
ni-64 21 0.0 1.03540E-04 449.8167 end
' SS-304
cr-50 22 0.0 8.17351E-04 449.8167 end
cr-52 22 0.0 1.57623E-02 449.8167 end
cr-53 22 0.0 1.78728E-03 449.8167 end
cr-54 22 0.0 4.44885E-04 449.8167 end
fe-54 22 0.0 3.48075E-03 449.8167 end
fe-56 22 0.0 5.46400E-02 449.8167 end
fe-57 22 0.0 1.26184E-03 449.8167 end
fe-58 22 0.0 1.67927E-04 449.8167 end
ni-58 22 0.0 6.80694E-03 449.8167 end
ni-60 22 0.0 2.62205E-03 449.8167 end
ni-61 22 0.0 1.13973E-04 449.8167 end
ni-62 22 0.0 3.63413E-04 449.8167 end
ni-64 22 0.0 9.25497E-05 449.8167 end
' SS-304_abs
cr-50 23 0.0 8.17447E-04 449.8167 end
cr-52 23 0.0 1.57642E-02 449.8167 end
cr-53 23 0.0 1.78749E-03 449.8167 end
cr-54 23 0.0 4.44937E-04 449.8167 end
fe-54 23 0.0 3.48116E-03 449.8167 end
fe-56 23 0.0 5.46464E-02 449.8167 end
fe-57 23 0.0 1.26199E-03 449.8167 end
fe-58 23 0.0 1.67947E-04 449.8167 end
ni-58 23 0.0 6.80774E-03 449.8167 end
ni-60 23 0.0 2.62236E-03 449.8167 end
ni-61 23 0.0 1.13987E-04 449.8167 end
ni-62 23 0.0 3.63455E-04 449.8167 end
ni-64 23 0.0 9.25606E-05 449.8167 end
' SS-304_FRED
cr-50 24 0.0 8.17596E-04 449.8167 end
cr-52 24 0.0 1.57670E-02 449.8167 end
cr-53 24 0.0 1.78782E-03 449.8167 end
cr-54 24 0.0 4.45018E-04 449.8167 end
fe-54 24 0.0 3.48180E-03 449.8167 end
fe-56 24 0.0 5.46564E-02 449.8167 end
fe-57 24 0.0 1.26222E-03 449.8167 end
fe-58 24 0.0 1.67978E-04 449.8167 end
ni-58 24 0.0 6.80898E-03 449.8167 end
ni-60 24 0.0 2.62284E-03 449.8167 end
ni-61 24 0.0 1.14008E-04 449.8167 end
ni-62 24 0.0 3.63522E-04 449.8167 end
ni-64 24 0.0 9.25775E-05 449.8167 end
' SS-316_FRED
cr-50 25 0.0 6.91067E-04 449.8167 end
cr-52 25 0.0 1.33262E-02 449.8167 end
cr-53 25 0.0 1.51117E-03 449.8167 end
cr-54 25 0.0 3.76153E-04 449.8167 end
fe-54 25 0.0 3.41139E-03 449.8167 end
fe-56 25 0.0 5.35512E-02 449.8167 end
fe-57 25 0.0 1.23670E-03 449.8167 end
fe-58 25 0.0 1.64582E-04 449.8167 end
mo-100 25 0.0 1.22081E-04 449.8167 end
mo-92 25 0.0 1.88136E-04 449.8167 end
mo-94 25 0.0 1.17265E-04 449.8167 end
mo-95 25 0.0 2.01830E-04 449.8167 end
mo-96 25 0.0 2.11462E-04 449.8167 end
mo-97 25 0.0 1.21068E-04 449.8167 end
mo-98 25 0.0 3.05907E-04 449.8167 end
ni-58 25 0.0 7.61720E-03 449.8167 end
ni-60 25 0.0 2.93415E-03 449.8167 end
ni-61 25 0.0 1.27542E-04 449.8167 end
ni-62 25 0.0 4.06668E-04 449.8167 end
ni-64 25 0.0 1.03571E-04 449.8167 end
' BeO
be-beo 26 0.0 6.84143E-02 449.8167 end
o-16 26 0.0 6.84143E-02 449.8167 end
' B4C
b-10 27 0.0 1.32047E-02 449.8167 end
b-11 27 0.0 5.31509E-02 449.8167 end
c-12 27 0.0 1.65886E-02 449.8167 end
' Ni Axial
ni-58 28 0.0 5.93541E-02 449.8167 end
ni-60 28 0.0 2.28635E-02 449.8167 end
ni-61 28 0.0 9.93799E-04 449.8167 end
ni-62 28 0.0 3.16883E-03 449.8167 end
ni-64 28 0.0 8.07005E-04 449.8167 end
' Downcomer Inner Vessel
na-23 31 0.0 1.48350E-02 449.8167 end
cr-50 31 0.0 2.34745E-04 449.8167 end
cr-52 31 0.0 4.52673E-03 449.8167 end
cr-53 31 0.0 5.13299E-04 449.8167 end
cr-54 31 0.0 1.27773E-04 449.8167 end
fe-54 31 0.0 9.99616E-04 449.8167 end
fe-56 31 0.0 1.56923E-02 449.8167 end
fe-57 31 0.0 3.62408E-04 449.8167 end
fe-58 31 0.0 4.82292E-05 449.8167 end
ni-58 31 0.0 1.95489E-03 449.8167 end
ni-60 31 0.0 7.53037E-04 449.8167 end
ni-61 31 0.0 3.27337E-05 449.8167 end
ni-62 31 0.0 1.04375E-04 449.8167 end
ni-64 31 0.0 2.65802E-05 449.8167 end
' Downcomer Outer Vessel
mg-24 32 0.0 4.12309E-04 449.8167 end
mg-25 32 0.0 5.21977E-05 449.8167 end
mg-26 32 0.0 5.74694E-05 449.8167 end
al-27 32 0.0 1.12844E-02 449.8167 end
cr-50 32 0.0 1.28512E-04 449.8167 end
cr-52 32 0.0 2.47827E-03 449.8167 end
cr-53 32 0.0 2.81011E-04 449.8167 end
cr-54 32 0.0 6.99491E-05 449.8167 end
fe-54 32 0.0 5.47272E-04 449.8167 end
fe-56 32 0.0 8.59100E-03 449.8167 end
fe-57 32 0.0 1.98405E-04 449.8167 end
fe-58 32 0.0 2.64034E-05 449.8167 end
ni-58 32 0.0 1.07022E-03 449.8167 end
ni-60 32 0.0 4.12259E-04 449.8167 end
ni-61 32 0.0 1.79202E-05 449.8167 end
ni-62 32 0.0 5.71389E-05 449.8167 end
ni-64 32 0.0 1.45518E-05 449.8167 end
' Reflector
mg-24 33 0.0 7.44450E-05 449.8167 end
mg-25 33 0.0 9.42463E-06 449.8167 end
mg-26 33 0.0 1.03762E-05 449.8167 end
al-27 33 0.0 2.03752E-03 449.8167 end
cr-50 33 0.0 2.77734E-05 449.8167 end
cr-52 33 0.0 5.35588E-04 449.8167 end
cr-53 33 0.0 6.07314E-05 449.8167 end
cr-54 33 0.0 1.51177E-05 449.8167 end
fe-54 33 0.0 1.18273E-04 449.8167 end
fe-56 33 0.0 1.85668E-03 449.8167 end
fe-57 33 0.0 4.28782E-05 449.8167 end
fe-58 33 0.0 5.70638E-06 449.8167 end
ni-58 33 0.0 4.99710E-02 449.8167 end
ni-60 33 0.0 1.92485E-02 449.8167 end
ni-61 33 0.0 8.36735E-04 449.8167 end
ni-62 33 0.0 2.66786E-03 449.8167 end
ni-64 33 0.0 6.79430E-04 449.8167 end
' Radial shield
mg-24 34 0.0 2.71254E-04 449.8167 end
mg-25 34 0.0 3.43404E-05 449.8167 end
mg-26 34 0.0 3.78086E-05 449.8167 end
cr-50 34 0.0 9.86654E-05 449.8167 end
cr-52 34 0.0 1.90267E-03 449.8167 end
cr-53 34 0.0 2.15751E-04 449.8167 end
cr-54 34 0.0 5.37036E-05 449.8167 end
fe-54 34 0.0 4.20168E-04 449.8167 end
fe-56 34 0.0 6.59577E-03 449.8167 end
fe-57 34 0.0 1.52329E-04 449.8167 end
fe-58 34 0.0 2.02719E-05 449.8167 end
ni-58 34 0.0 8.21692E-04 449.8167 end
ni-60 34 0.0 3.16512E-04 449.8167 end
ni-61 34 0.0 1.37589E-05 449.8167 end
ni-62 34 0.0 4.38683E-05 449.8167 end
ni-64 34 0.0 1.11725E-05 449.8167 end
b-10 34 0.0 5.40601E-03 449.8167 end
b-11 34 0.0 2.17599E-02 449.8167 end
c-12 34 0.0 6.79150E-03 449.8167 end
' Na Grid Plate
na-23 35 0.0 1.68850E-02 449.8167 end
cr-50 35 0.0 1.99835E-04 449.8167 end
cr-52 35 0.0 3.85357E-03 449.8167 end
cr-53 35 0.0 4.36962E-04 449.8167 end
cr-54 35 0.0 1.08771E-04 449.8167 end
fe-54 35 0.0 8.50997E-04 449.8167 end
fe-56 35 0.0 1.33588E-02 449.8167 end
fe-57 35 0.0 3.08517E-04 449.8167 end
fe-58 35 0.0 4.10573E-05 449.8167 end
ni-58 35 0.0 1.66423E-03 449.8167 end
ni-60 35 0.0 6.41055E-04 449.8167 end
ni-61 35 0.0 2.78666E-05 449.8167 end
ni-62 35 0.0 8.88497E-05 449.8167 end
ni-64 35 0.0 2.26275E-05 449.8167 end
b-10 35 0.0 6.60243E-04 449.8167 end
b-11 35 0.0 2.65754E-03 449.8167 end
c-12 35 0.0 8.29451E-04 449.8167 end
' Na Steel
na-23 36 0.0 1.35120E-02 449.8167 end
cr-50 36 0.0 2.66172E-04 449.8167 end
cr-52 36 0.0 5.13286E-03 449.8167 end
cr-53 36 0.0 5.82020E-04 449.8167 end
cr-54 36 0.0 1.44878E-04 449.8167 end
fe-54 36 0.0 1.13346E-03 449.8167 end
fe-56 36 0.0 1.77932E-02 449.8167 end
fe-57 36 0.0 4.10931E-04 449.8167 end
fe-58 36 0.0 5.46867E-05 449.8167 end
ni-58 36 0.0 2.21669E-03 449.8167 end
ni-60 36 0.0 8.53861E-04 449.8167 end
ni-61 36 0.0 3.71173E-05 449.8167 end
ni-62 36 0.0 1.18350E-04 449.8167 end
ni-64 36 0.0 3.01385E-05 449.8167 end
b-10 36 0.0 6.60243E-04 449.8167 end
b-11 36 0.0 2.65754E-03 449.8167 end
c-12 36 0.0 8.29451E-04 449.8167 end
' Steel void
cr-50 37 0.0 1.23500E-04 449.8167 end
cr-52 37 0.0 2.38160E-03 449.8167 end
cr-53 37 0.0 2.70060E-04 449.8167 end
cr-54 37 0.0 6.72230E-05 449.8167 end
fe-54 37 0.0 5.25940E-04 449.8167 end
fe-56 37 0.0 8.25610E-03 449.8167 end
fe-57 37 0.0 1.90670E-04 449.8167 end
fe-58 37 0.0 2.53750E-05 449.8167 end
ni-58 37 0.0 1.02850E-03 449.8167 end
ni-60 37 0.0 3.96190E-04 449.8167 end
ni-61 37 0.0 1.72220E-05 449.8167 end
ni-62 37 0.0 5.49120E-05 449.8167 end
ni-64 37 0.0 1.39840E-05 449.8167 end
end comp
read param
gen=220
nsk=20
npg=100000
htm=no
end param
read geometry
unit 1
com="Central Pin with tightener"
cylinder 10 0.98942 41.5320 30.7450 com="Lower Ni Reflector"
cylinder 20 0.98942 134.4970 41.5320 com="BeO"
cylinder 30 0.98942 145.2840 134.4970 com="Upper Ni Reflector"
cylinder 40 1.01239 145.3628 145.2840 com="Na steel to fill the missing region"
cylinder 100 1.01239 145.3628 30.7450 com="gap"
cylinder 110 1.11426 145.3628 30.7450 com="SS316 clad"
hexprism 120 1.22244 145.3628 30.7450 com="Na coolant"
hexprism 130 1.31158 145.3628 30.7450 com="SS304 Duct"
media 28 1 10
media 26 1 20
media 28 1 30
media 36 1 40
media 0 1 100 -40 -30 -20 -10
media 21 1 110 -100
media 11 1 120 -110
media 22 1 130 -120
boundary 130
unit 2
com="Fuel pin with standard fuel"
cylinder 10 1.11426 41.5320 30.7450 com="Lower Ni Reflector"
cylinder 20 1.11426 42.4845 41.5320 com="UO2 insulator"
cylinder 30 1.11426 94.9136 42.4845 com="Pu fuel"
cylinder 40 1.11426 95.8661 94.9136 com="UO2 insulator"
cylinder 50 1.11426 99.1481 95.8661 com="Spring (void)"
cylinder 60 1.11426 100.1006 99.1481 com="UO2 insulator"
cylinder 70 1.11426 133.6233 100.1006 com="Pu fuel"
cylinder 80 1.11426 134.5758 133.6233 com="UO2 insulator"
cylinder 90 1.11426 145.3628 134.5758 com="Upper Ni Reflector"
cylinder 100 1.13331 145.3628 30.7450 com="gap"
cylinder 110 1.23518 145.3628 30.7450 com="SS316 clad"
media 28 1 10
media 3 1 20
media 1 1 30
media 3 1 40
media 0 1 50
media 3 1 60
media 1 1 70
media 3 1 80
media 28 1 90
media 0 1 100 -90 -80 -70 -60 -50
-40 -30 -20 -10
media 21 1 110 -100
boundary 110
unit 3
com="Fuel pin with guinea pig fuel"
cylinder 10 1.11426 41.5320 30.7450 com="Lower Ni Reflector"
cylinder 20 1.11426 42.4845 41.5320 com="UO2 insulator"
cylinder 30 1.11426 94.9136 42.4845 com="Pu fuel"
cylinder 40 1.11426 95.8661 94.9136 com="UO2 insulator"
cylinder 50 1.11426 99.1481 95.8661 com="Spring (void)"
cylinder 60 1.11426 100.1006 99.1481 com="UO2 insulator"
cylinder 70 1.11426 133.6233 100.1006 com="Pu fuel"
cylinder 80 1.11426 134.5758 133.6233 com="UO2 insulator"
cylinder 90 1.11426 145.3628 134.5758 com="Upper Ni Reflector"
cylinder 100 1.13331 145.3628 30.7450 com="gap"
cylinder 110 1.23518 145.3628 30.7450 com="SS316 clad"
media 28 1 10
media 3 1 20
media 2 1 30
media 3 1 40
media 0 1 50
media 3 1 60
media 2 1 70
media 3 1 80
media 28 1 90
media 0 1 100 -90 -80 -70 -60 -50
-40 -30 -20 -10
media 21 1 110 -100
boundary 110
unit 4
com="Absorber pin"
cylinder 10 1.11426 41.5320 30.7450 com="Lower Ni Reflector"
cylinder 20 0.80133 134.5758 41.5320 com="SS304 central"
cylinder 30 1.13331 134.4008 41.5320 com="B4C absorber"
cylinder 40 1.11426 145.3628 134.5758 com="Upper Ni Reflector"
cylinder 100 1.13331 145.3628 30.7450 com="gap"
cylinder 110 1.23518 145.3628 30.7450 com="SS316 clad"
media 28 1 10
media 23 1 20
media 27 1 30 -20
media 28 1 40 -20
media 0 1 100 -40 -30 -20 -10
media 21 1 110 -100
boundary 110
unit 6
com="Wire pin"
cylinder 100 0.31834 145.3628 30.7450 com="wire pin"
media 22 1 100
boundary 100
unit 10
com="FRED"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
cylinder 20 1.67444 165.6018 30.7450 com="Absorber for transient, now void"
cylinder 30 1.75726 165.6018 30.7450 com="Gap"
cylinder 40 2.11381 165.6018 30.7450 com="SS316 clad"
rhexprism 50 3.85834 165.6018 30.7450 com="Steel duct"
rhexprism 60 4.01114 165.6018 30.7450 com="Inside duct"
rhexprism 70 4.02388 165.6018 30.7450 com="Sodium gap"
rhexprism 100 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 0 1 20
media 0 1 30 -20
media 25 1 40 -30
media 0 1 50 -40
media 24 1 60 -50
media 11 1 70 -60
boundary 100
unit 11
com="Standard fuel assembly"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
rhexprism 20 3.85834 145.3628 30.7450 com="Steel duct"
rhexprism 30 4.01114 145.3628 30.7450 com="Inside duct"
rhexprism 40 4.02388 145.3628 30.7450 com="Sodium gap"
rhexprism 50 4.02388 165.6018 145.3628 com="Na-steel"
rhexprism 60 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 11 1 20
media 22 1 30 -20
hole 1
hole 2 origin x= 1.39065 y= 2.40868
hole 2 origin x=-1.39065 y= 2.40868
hole 2 origin x= 1.39065 y=-2.40868
hole 2 origin x=-1.39065 y=-2.40868
hole 2 origin x= 2.78130 y= 0.00000
hole 2 origin x=-2.78130 y= 0.00000
hole 6 origin x= 0.00000 y= 3.47540
hole 6 origin x= 0.00000 y=-3.47540
hole 6 origin y= 1.73770 x= 3.00978
hole 6 origin y=-1.73770 x= 3.00978
hole 6 origin y= 1.73770 x=-3.00978
hole 6 origin y=-1.73770 x=-3.00978
media 11 1 40 -30
media 36 1 50
boundary 60
unit 12
com="Standard fuel assembly with 2 GPs on top left"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
rhexprism 20 3.85834 145.3628 30.7450 com="Steel duct"
rhexprism 30 4.01114 145.3628 30.7450 com="Inside duct"
rhexprism 40 4.02388 145.3628 30.7450 com="Sodium gap"
rhexprism 50 4.02388 165.6018 145.3628 com="Na-steel"
rhexprism 60 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 11 1 20
media 22 1 30 -20
hole 1
hole 2 origin x= 1.39065 y= 2.40868
hole 3 origin x=-1.39065 y= 2.40868
hole 2 origin x= 1.39065 y=-2.40868
hole 2 origin x=-1.39065 y=-2.40868
hole 2 origin x= 2.78130 y= 0.00000
hole 3 origin x=-2.78130 y= 0.00000
hole 6 origin x= 0.00000 y= 3.47540
hole 6 origin x= 0.00000 y=-3.47540
hole 6 origin y= 1.73770 x= 3.00978
hole 6 origin y=-1.73770 x= 3.00978
hole 6 origin y= 1.73770 x=-3.00978
hole 6 origin y=-1.73770 x=-3.00978
media 11 1 40 -30
media 36 1 50
boundary 60
unit 13
com="Standard fuel assembly with 2 GPs on top right"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
rhexprism 20 3.85834 145.3628 30.7450 com="Steel duct"
rhexprism 30 4.01114 145.3628 30.7450 com="Inside duct"
rhexprism 40 4.02388 145.3628 30.7450 com="Sodium gap"
rhexprism 50 4.02388 165.6018 145.3628 com="Na-steel"
rhexprism 60 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 11 1 20
media 22 1 30 -20
hole 1
hole 3 origin x= 1.39065 y= 2.40868
hole 2 origin x=-1.39065 y= 2.40868
hole 2 origin x= 1.39065 y=-2.40868
hole 2 origin x=-1.39065 y=-2.40868
hole 3 origin x= 2.78130 y= 0.00000
hole 2 origin x=-2.78130 y= 0.00000
hole 6 origin x= 0.00000 y= 3.47540
hole 6 origin x= 0.00000 y=-3.47540
hole 6 origin y= 1.73770 x= 3.00978
hole 6 origin y=-1.73770 x= 3.00978
hole 6 origin y= 1.73770 x=-3.00978
hole 6 origin y=-1.73770 x=-3.00978
media 11 1 40 -30
media 36 1 50
boundary 60
unit 21
com="Standard fuel assembly with 1 B4C rod at top right"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
rhexprism 20 3.85834 145.3628 30.7450 com="Steel duct"
rhexprism 30 4.01114 145.3628 30.7450 com="Inside duct"
rhexprism 40 4.02388 145.3628 30.7450 com="Sodium gap"
rhexprism 50 4.02388 165.6018 145.3628 com="Na-steel"
rhexprism 60 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 11 1 20
media 22 1 30 -20
hole 1
hole 4 origin x= 1.39065 y= 2.40868
hole 2 origin x=-1.39065 y= 2.40868
hole 2 origin x= 1.39065 y=-2.40868
hole 2 origin x=-1.39065 y=-2.40868
hole 2 origin x= 2.78130 y= 0.00000
hole 2 origin x=-2.78130 y= 0.00000
hole 6 origin x= 0.00000 y= 3.47540
hole 6 origin x= 0.00000 y=-3.47540
hole 6 origin y= 1.73770 x= 3.00978
hole 6 origin y=-1.73770 x= 3.00978
hole 6 origin y= 1.73770 x=-3.00978
hole 6 origin y=-1.73770 x=-3.00978
media 11 1 40 -30
media 36 1 50
boundary 60
unit 22
com="Standard fuel assembly with 1 B4C rod at top left"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
rhexprism 20 3.85834 145.3628 30.7450 com="Steel duct"
rhexprism 30 4.01114 145.3628 30.7450 com="Inside duct"
rhexprism 40 4.02388 145.3628 30.7450 com="Sodium gap"
rhexprism 50 4.02388 165.6018 145.3628 com="Na-steel"
rhexprism 60 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 11 1 20
media 22 1 30 -20
hole 1
hole 2 origin x= 1.39065 y= 2.40868
hole 4 origin x=-1.39065 y= 2.40868
hole 2 origin x= 1.39065 y=-2.40868
hole 2 origin x=-1.39065 y=-2.40868
hole 2 origin x= 2.78130 y= 0.00000
hole 2 origin x=-2.78130 y= 0.00000
hole 6 origin x= 0.00000 y= 3.47540
hole 6 origin x= 0.00000 y=-3.47540
hole 6 origin y= 1.73770 x= 3.00978
hole 6 origin y=-1.73770 x= 3.00978
hole 6 origin y= 1.73770 x=-3.00978
hole 6 origin y=-1.73770 x=-3.00978
media 11 1 40 -30
media 36 1 50
boundary 60
unit 23
com="Standard fuel assembly with 1 B4C rod at left"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
rhexprism 20 3.85834 145.3628 30.7450 com="Steel duct"
rhexprism 30 4.01114 145.3628 30.7450 com="Inside duct"
rhexprism 40 4.02388 145.3628 30.7450 com="Sodium gap"
rhexprism 50 4.02388 165.6018 145.3628 com="Na-steel"
rhexprism 60 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 11 1 20
media 22 1 30 -20
hole 1
hole 2 origin x= 1.39065 y= 2.40868
hole 2 origin x=-1.39065 y= 2.40868
hole 2 origin x= 1.39065 y=-2.40868
hole 2 origin x=-1.39065 y=-2.40868
hole 2 origin x= 2.78130 y= 0.00000
hole 4 origin x=-2.78130 y= 0.00000
hole 6 origin x= 0.00000 y= 3.47540
hole 6 origin x= 0.00000 y=-3.47540
hole 6 origin y= 1.73770 x= 3.00978
hole 6 origin y=-1.73770 x= 3.00978
hole 6 origin y= 1.73770 x=-3.00978
hole 6 origin y=-1.73770 x=-3.00978
media 11 1 40 -30
media 36 1 50
boundary 60
unit 24
com="Standard fuel assembly with 1 B4C rod at bottom left"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
rhexprism 20 3.85834 145.3628 30.7450 com="Steel duct"
rhexprism 30 4.01114 145.3628 30.7450 com="Inside duct"
rhexprism 40 4.02388 145.3628 30.7450 com="Sodium gap"
rhexprism 50 4.02388 165.6018 145.3628 com="Na-steel"
rhexprism 60 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 11 1 20
media 22 1 30 -20
hole 1
hole 2 origin x= 1.39065 y= 2.40868
hole 2 origin x=-1.39065 y= 2.40868
hole 2 origin x= 1.39065 y=-2.40868
hole 4 origin x=-1.39065 y=-2.40868
hole 2 origin x= 2.78130 y= 0.00000
hole 2 origin x=-2.78130 y= 0.00000
hole 6 origin x= 0.00000 y= 3.47540
hole 6 origin x= 0.00000 y=-3.47540
hole 6 origin y= 1.73770 x= 3.00978
hole 6 origin y=-1.73770 x= 3.00978
hole 6 origin y= 1.73770 x=-3.00978
hole 6 origin y=-1.73770 x=-3.00978
media 11 1 40 -30
media 36 1 50
boundary 60
unit 25
com="Standard fuel assembly with 1 B4C rod at bottom right"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
rhexprism 20 3.85834 145.3628 30.7450 com="Steel duct"
rhexprism 30 4.01114 145.3628 30.7450 com="Inside duct"
rhexprism 40 4.02388 145.3628 30.7450 com="Sodium gap"
rhexprism 50 4.02388 165.6018 145.3628 com="Na-steel"
rhexprism 60 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 11 1 20
media 22 1 30 -20
hole 1
hole 2 origin x= 1.39065 y= 2.40868
hole 2 origin x=-1.39065 y= 2.40868
hole 4 origin x= 1.39065 y=-2.40868
hole 2 origin x=-1.39065 y=-2.40868
hole 2 origin x= 2.78130 y= 0.00000
hole 2 origin x=-2.78130 y= 0.00000
hole 6 origin x= 0.00000 y= 3.47540
hole 6 origin x= 0.00000 y=-3.47540
hole 6 origin y= 1.73770 x= 3.00978
hole 6 origin y=-1.73770 x= 3.00978
hole 6 origin y= 1.73770 x=-3.00978
hole 6 origin y=-1.73770 x=-3.00978
media 11 1 40 -30
media 36 1 50
boundary 60
unit 26
com="Standard fuel assembly with 1 B4C rod at right"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
rhexprism 20 3.85834 145.3628 30.7450 com="Steel duct"
rhexprism 30 4.01114 145.3628 30.7450 com="Inside duct"
rhexprism 40 4.02388 145.3628 30.7450 com="Sodium gap"
rhexprism 50 4.02388 165.6018 145.3628 com="Na-steel"
rhexprism 60 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 11 1 20
media 22 1 30 -20
hole 1
hole 2 origin x= 1.39065 y= 2.40868
hole 2 origin x=-1.39065 y= 2.40868
hole 2 origin x= 1.39065 y=-2.40868
hole 2 origin x=-1.39065 y=-2.40868
hole 4 origin x= 2.78130 y= 0.00000
hole 2 origin x=-2.78130 y= 0.00000
hole 6 origin x= 0.00000 y= 3.47540
hole 6 origin x= 0.00000 y=-3.47540
hole 6 origin y= 1.73770 x= 3.00978
hole 6 origin y=-1.73770 x= 3.00978
hole 6 origin y= 1.73770 x=-3.00978
hole 6 origin y=-1.73770 x=-3.00978
media 11 1 40 -30
media 36 1 50
boundary 60
unit 41
com="Standard fuel assembly with 1 B4C rod at top left and 1 GP rod at top right"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
rhexprism 20 3.85834 145.3628 30.7450 com="Steel duct"
rhexprism 30 4.01114 145.3628 30.7450 com="Inside duct"
rhexprism 40 4.02388 145.3628 30.7450 com="Sodium gap"
rhexprism 50 4.02388 165.6018 145.3628 com="Na-steel"
rhexprism 60 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 11 1 20
media 22 1 30 -20
hole 1
hole 3 origin x= 1.39065 y= 2.40868
hole 4 origin x=-1.39065 y= 2.40868
hole 2 origin x= 1.39065 y=-2.40868
hole 2 origin x=-1.39065 y=-2.40868
hole 2 origin x= 2.78130 y= 0.00000
hole 2 origin x=-2.78130 y= 0.00000
hole 6 origin x= 0.00000 y= 3.47540
hole 6 origin x= 0.00000 y=-3.47540
hole 6 origin y= 1.73770 x= 3.00978
hole 6 origin y=-1.73770 x= 3.00978
hole 6 origin y= 1.73770 x=-3.00978
hole 6 origin y=-1.73770 x=-3.00978
media 11 1 40 -30
media 36 1 50
boundary 60
unit 42
com="Standard fuel assembly with 1 B4C rod at right and 1 GP rod at bottom right"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
rhexprism 20 3.85834 145.3628 30.7450 com="Steel duct"
rhexprism 30 4.01114 145.3628 30.7450 com="Inside duct"
rhexprism 40 4.02388 145.3628 30.7450 com="Sodium gap"
rhexprism 50 4.02388 165.6018 145.3628 com="Na-steel"
rhexprism 60 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 11 1 20
media 22 1 30 -20
hole 1
hole 2 origin x= 1.39065 y= 2.40868
hole 2 origin x=-1.39065 y= 2.40868
hole 3 origin x= 1.39065 y=-2.40868
hole 2 origin x=-1.39065 y=-2.40868
hole 4 origin x= 2.78130 y= 0.00000
hole 2 origin x=-2.78130 y= 0.00000
hole 6 origin x= 0.00000 y= 3.47540
hole 6 origin x= 0.00000 y=-3.47540
hole 6 origin y= 1.73770 x= 3.00978
hole 6 origin y=-1.73770 x= 3.00978
hole 6 origin y= 1.73770 x=-3.00978
hole 6 origin y=-1.73770 x=-3.00978
media 11 1 40 -30
media 36 1 50
boundary 60
unit 43
com="Standard fuel assembly with 1 B4C rod at bottom left and 1 GP rod at left"
rhexprism 10 4.02388 30.7450 0.0000 com="Na-grid plate"
rhexprism 20 3.85834 145.3628 30.7450 com="Steel duct"
rhexprism 30 4.01114 145.3628 30.7450 com="Inside duct"
rhexprism 40 4.02388 145.3628 30.7450 com="Sodium gap"
rhexprism 50 4.02388 165.6018 145.3628 com="Na-steel"
rhexprism 60 4.02388 165.6018 0.0000 com="Outer boundary"
media 35 1 10
media 11 1 20
media 22 1 30 -20
hole 1
hole 2 origin x= 1.39065 y= 2.40868
hole 2 origin x=-1.39065 y= 2.40868
hole 2 origin x= 1.39065 y=-2.40868
hole 4 origin x=-1.39065 y=-2.40868
hole 2 origin x= 2.78130 y= 0.00000
hole 3 origin x=-2.78130 y= 0.00000
hole 6 origin x= 0.00000 y= 3.47540
hole 6 origin x= 0.00000 y=-3.47540
hole 6 origin y= 1.73770 x= 3.00978
hole 6 origin y=-1.73770 x= 3.00978
hole 6 origin y= 1.73770 x=-3.00978
hole 6 origin y=-1.73770 x=-3.00978
media 11 1 40 -30
media 36 1 50
boundary 60
unit 31
com="Downcomer Inner Vessel"
rhexprism 10 4.02388 165.6018 0.0000 com="Outer boundary"
media 31 1 10
boundary 10
global unit 100
cylinder 10 53.48600 165.6018 0.0000 com="Downcomer OV"
cylinder 11 58.26300 165.6018 0.0000 com="Core radius"
ring 20 58.26300 73.55300 30.7450 0.0000 com="Steel void"
ring 30 58.26300 73.55300 145.3628 30.7450 com="Reflector"
ring 40 58.26300 73.55300 165.6018 145.3628 com="Steel void"
plane 31 xpl= 0.577350 ypl=-1.00000 zpl=0.00000 con=0.00000
plane 32 xpl= 2.246040 ypl=-1.00000 zpl=0.00000 con=0.00000
plane 33 xpl=-4.704630 ypl=-1.00000 zpl=0.00000 con=0.00000
plane 34 xpl=-0.900404 ypl=-1.00000 zpl=0.00000 con=0.00000
plane 35 xpl=-0.105104 ypl=-1.00000 zpl=0.00000 con=0.00000
plane 36 xpl= 0.000000 ypl= 1.00000 zpl=0.00000 con=0.00000
plane 37 xpl= 1.000000 ypl= 0.00000 zpl=0.00000 con=0.00000
cylinder 50 87.03400 165.6018 0.0000
array 10 10 place 10 10 1 0.0 0.0 0.0
media 32 1 11 -10
media 37 1 20 -32 -33
media 37 1 20 33 -34
media 37 1 20 -31 32
media 37 1 20 31 -35
media 37 1 20 -34 35
media 37 1 20 -33 34
media 37 1 20 32 33
media 37 1 20 31 -32
media 37 1 20 -31 35
media 37 1 20 34 -35
media 33 1 30 -32 -33
media 33 1 30 33 -34
media 33 1 30 -31 32
media 33 1 30 31 -35
media 33 1 30 -34 35
media 33 1 30 -33 34
media 33 1 30 32 33
media 33 1 30 31 -32
media 33 1 30 -31 35
media 33 1 30 34 -35
media 37 1 40 -32 -33
media 37 1 40 33 -34
media 37 1 40 -31 32
media 37 1 40 31 -35
media 37 1 40 -34 35
media 37 1 40 -33 34
media 37 1 40 32 33
media 37 1 40 31 -32
media 37 1 40 -31 35
media 37 1 40 34 -35
media 34 1 50 -40 -30 -20 -11
boundary 50
end geometry
read array
ara=10
prt=yes
typ=rhexagonal
nux=19
nuy=19
nuz=1
fill
31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31
31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31
31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31
31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31
31 31 31 31 31 31 31 11 31 11 31 11 31 31 31 31 31 31 31
31 31 31 31 31 11 11 11 11 21 11 11 11 11 31 31 31 31 31
31 31 31 31 31 11 11 11 11 11 11 12 11 11 31 31 31 31 31
31 31 31 31 11 21 11 11 41 11 11 11 11 11 11 31 31 31 31
31 31 31 11 11 11 11 11 11 11 11 23 11 11 11 11 31 31 31
31 31 31 11 11 13 11 23 11 10 11 11 11 11 21 11 31 31 31
31 31 31 11 25 11 11 11 11 11 11 11 43 11 11 11 31 31 31
31 31 31 31 11 11 11 42 11 11 21 11 11 23 11 31 31 31 31
31 31 31 31 11 11 11 11 11 11 11 11 11 11 11 31 31 31 31
31 31 31 31 31 11 23 11 24 11 11 25 11 11 31 31 31 31 31
31 31 31 31 31 31 11 11 11 11 11 11 11 31 31 31 31 31 31
31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31
31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31
31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31
31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31
end fill
end array
read volume
type=trace nrays=1e8
end volume
end data
end
(sfr/sefor/Shift_Reference/Core_I-E_450K.inp)Listing 2:
################################################################################
## NEAMS Fast Reactor Application Driver ##
## SEFOR SHIFT Model of SEFOR Core I-E at 450 K ##
## Please contact the authors for issues: ##
## - Dr. Donny Hartanto (hartantod.at.ornl.gov) ##
################################################################################
[PROBLEM]
name "SEFOR Core I-E"
mode kcode
[MODEL=SCALE]
input Core_I-E_450K.inp
volume_cells 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8
2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10 2.11
3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.10 3.11
4.1 4.2 4.3 4.4 4.5 4.6
6.1
10.1 10.2 10.3 10.4 10.5 10.6 10.7
11.1 11.2 11.3 11.4 11.5
12.1 12.2 12.3 12.4 12.5
13.1 13.2 13.3 13.4 13.5
21.1 21.2 21.3 21.4 21.5
23.1 23.2 23.3 23.4 23.5
24.1 24.2 24.3 24.4 24.5
25.1 25.2 25.3 25.4 25.5
31.1
41.1 41.2 41.3 41.4 41.5
42.1 42.2 42.3 42.4 42.5
43.1 43.2 43.3 43.4 43.5
100.2 100.3 100.4 100.5 100.6 100.7 100.8 100.9 100.10 100.11 100.12
100.13 100.14 100.15 100.16 100.17 100.18 100.19 100.20 100.21 100.22 100.23
100.24 100.25 100.26 100.27 100.28 100.29 100.30 100.31 100.32 100.33
volumes 3.5828950225519e+03 3.0878378153855e+04 3.5829053477285e+03 2.7411240738209e+01 1.7869558937340e+03 8.4249673753689e+03 1.5796348930494e+04 9.6860998263045e+03
2.6380982275299e+04 2.3294979273986e+03 1.2822206710442e+05 2.3295244725458e+03 8.0265409345498e+03 2.3294544207632e+03 8.1984110403084e+04 2.3294299564306e+03 2.6380988105418e+04 9.6666846508514e+03 5.4473729801149e+04
2.9452441710709e+02 2.6006077937830e+01 1.4315070929718e+03 2.6006572841967e+01 8.9610274405256e+01 2.6006569484722e+01 9.1529223001235e+02 2.6007017573777e+01 2.9452386935820e+02 1.0792244953904e+02 6.0816117459177e+02
5.8904931631605e+02 2.6277740396412e+03 2.6233706235081e+03 5.8905072184116e+02 4.5571274888238e+01 1.2163194044928e+03
2.3646108526278e+04
1.7244728342620e+03 1.1878503026230e+03 1.2041173816116e+02 5.8475517664651e+02 5.0614679161420e+03 5.6172290816059e+02 4.7820853965749e+01
1.5865112040790e+05 1.5755904787598e+05 4.3923935794459e+04 3.7394014646951e+03 1.0443775706800e+05
1.7244696831186e+03 1.7126077778396e+03 4.7742380078457e+02 4.0652711637750e+01 1.1351953968562e+03
1.7244728342620e+03 1.7126078994259e+03 4.7742108094547e+02 4.0643617070885e+01 1.1351938859701e+03
6.8978632119732e+03 6.8503705467868e+03 1.9097631915991e+03 1.6257756261247e+02 4.5407717172515e+03
6.8978733836371e+03 6.8504033032108e+03 1.9097165557206e+03 1.6257271238408e+02 4.5407614992931e+03
1.7244661100586e+03 1.7125946544092e+03 4.7743025751732e+02 4.0640943010731e+01 1.1351897564263e+03
3.4489444508485e+03 3.4252031625646e+03 9.5486265130192e+02 8.1296688186553e+01 2.2703882404459e+03
4.7586910511589e+05
1.7244769539287e+03 1.7125968625397e+03 4.7743310743733e+02 4.0643252642359e+01 1.1351945483744e+03
1.7244649990453e+03 1.7126059936046e+03 4.7743533053974e+02 4.0639067040454e+01 1.1351881740273e+03
1.7244731566547e+03 1.7126027392463e+03 4.7743718060764e+02 4.0637283839378e+01 1.1351911549451e+03
2.7772426466854e+05 1.9467034767384e+04 1.9467064471864e+04 1.9467084070947e+04 1.9467032596858e+04 1.9467038741360e+04 1.9467028633067e+04 1.9467015238275e+04 1.9467047870133e+04 1.9467028618410e+04 1.9467052644900e+04
7.2573334009035e+04 7.2573389702765e+04 7.2573479896608e+04 7.2573365491694e+04 7.2573443214763e+04 7.2573417728414e+04 7.2573350663066e+04 7.2573506038618e+04 7.2573361723636e+04 7.2573443442201e+04 1.2814876407330e+04
1.2814885290855e+04 1.2814896009576e+04 1.2814865617281e+04 1.2814890350548e+04 1.2814892987523e+04 1.2814879727438e+04 1.2814906775841e+04 1.2814873195253e+04 1.2814876301518e+04 1.1262827191230e+06
[PHYSICS=ce]
ce_lib_path "../ce_7.1_hdf.h5"
kappa_library "../kappa.h5"
mode n
dbrc off
[COMP]
output true
sclib_path "../scale.rev40.sclib"
[PHYSICS][BROADEN]
kinematics true
[SOURCE=separable global_fission]
[SOURCE][SHAPE=global]
[SHIFT]
[SHIFT][TRANSPORTER]
verbosity none
[SHIFT][KCODE]
num_histories_per_cycle 500000
num_cycles 500
num_inactive_cycles 50
initial_keff 1.0
entropy_mesh automatic
[RUN=mpi]
np 64
(sfr/sefor/Shift_Reference/Core_I-E_450K_ENDF71.omn)Geometry
Figure 1 (a) shows the horizontal cut view of a Shift model for Core I-E. The 10 radial reflector sectors were sandwiched between the outside radial shield and an inner homogenized cylindrical region representing part of the downcomer outside its reactor vessel (DC_OV). The center hexagonal lattice contains 109 fuel assemblies. The space between the fuel lattice and the DC_OV was a homogenized region representing the reactor downcomer within the reactor vessel (DC_IV).

Figure 1: Shift Monte Carlo model of SEFOR Core I-E with (a) X-Y view (b) X-Z view
Figure 2 (a) to (d) depict the detail geometry of a normal SA, a SA with 1 GP rod and 1 B4C rod, a SA with 2 GP rods or a SA with 1 BC rod (AFA) used in Core I-E.

Figure 2: Shift Monte Carlo model of SEFOR Core I-E fuel assemblies: (a) Standard Assembly (SA), (b) SA with a GP rod and a BC rod, (c) SA with 2 GP rods, and (d) AFA
Figure 1 (b) illustrates the unique segmented design of a standard SEFOR fuel rod in SEFOR. Each rod incorporated nickel reflectors at both ends, depleted UO2 insulation layers separating the MOX fuel into segments. To mitigate reactivity feedback from fuel axial expansion, all standard fuel rods including GP rods included a central spring to create an expansion gap. This design feature was essential for reducing reactivity feedback from fuel axial expansion and accurately measuring reactivity feedback from the fuel Doppler effect. Neutronic models (Shift and Griffin) used a VOID region to describe the spring region.