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μ all μ th C = C + C μ epi , (2.10-8) where E Cd denotes cadmium cut-off energy that can be changed by setting the group dependent filter transmission by the user. One pair of entries permits reaction rates of two nuclides. The spectrum indices are obtained as ρ 28 28 28 / th = C epi C 25 25 25 / all 28 28 25 / all * 28 25 , δ = F epi F , δ = F all F , C = C all F . Equations (2.10-3) through (2.10-8) are calculated by the code with considering spatial dependence and heterogeneity effect as: / all IGMAX r ϕ , R μ m g r epi ( ) = ∑ f N μ g mσ μ m, g Φ g ( ) , (R=F or C) (2.10-9) g= 1 ϕx, g where, IGMAX r ϕ , R μ m g r epi ( ) = ∑ (1 − f g ) N μ mσ μ m, g Φ g ( ) , (R=F or C) (2.10-10) σ g= 1 ϕx, g μ m, g m, g denotes the effective microscopic cross-section of the nuclide μ involved in the material m of the energy group g, ϕ the local flux of the R-Region composed of the material m, r ϕ the average flux of x-th X-Region in the cell calculation, Φ (r) the flux at r obtained by a x,g core calculation with homogenized cross-sections. The ratio ϕ m . g /ϕ x , g represents the heterogeneity correction of local flux (disadvantage factor). g (d) Ratio of volume integrated reaction rates (only in CITATION) r r R = Σ Φ ) dV / Σ Φ ( ) dV , (2.10-11) ∫∑ g x2, g ∫∑ g ( x1, g g g where Σ x1,g and Σ x2,g are macroscopic cross-sections of the material specified by the user. The reaction denoted by x1 and x2 are specified among Fission, Capture, Absorption and Production. The option to change the numerator or denominator of Eq.(2.10-11) to be unity (1.0) is also prepared. The range of volume integration can be adjusted by input. This volume integration option is applicable only for the flux calculated by CITATION. The cross-sections for the detectors have to be prepared before entering this routine (macroscopic ones in MACRO or MACROWRK for (a), (b) and (d) reaction rate ratio, and microscopic ones in MICREF for (c) spectrum index). Following input data are required if IC18 > 0 in Sect.2.2. 130
Block-1 Control integers for reaction rate calculation /4/ 1 IOPT(1) Number of detectors used without filter. (number of repetition of reaction rate calculations) 2 IOPT(2) Number of detectors used with filter. 3 IOPT(3) Number of cases to calculate the spectrum index. 4 IOPT(4) Number of cases to calculate volume integrated reaction rate ratio (by CITATION) -------------------------------------------------------------------------------------------------------------------------- Block-2-1 Control for detectors without filter, required if IOPT(1)>0. /A8, 2, 0/ 1 MTNAME Member name of the detector cross-sections by 8 characters 2 IREAC Specification of reaction type = 0 fission (Σ x, g =Σ f, g ) = 1 capture (Σ x, g = Σ c, g ) = 2 absorption (fission + capture) 3 NMESH Number of spatial points (mesh intervals) to calculate the reaction rates Block-2-2 Required if IOPT(1)>0 /3*NMESH/ ((MESH(i,n), i=1,3), n=1,NMESH) Spatial position by mesh number, where i=1 corresponds to X-direction, i=2 to Y-direction and i=3 to Z-direction. In one- or two-dimensional case, enter zero values into irrelevant data. If the output of the PIJ is processed, specify R-Region number as if one-dimensional calculation. Repeat Block-2-1 through Block-2-2 IOPT(1) times. -------------------------------------------------------------------------------------------------------------------------- Block-3-1 Control for detectors with filter, required if IOPT(2)>0 /A8, 2, 0/ 1 MTNAME Material name of the detector cross-sections by 8 characters 2 IREAC Specification of reaction type 131
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JAEA-Data/Code 2007-004 SRAC2006 :
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Contents 1. General Descriptions ..
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5.5 BWR Fuel Assembly Calculation (
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目次 1. 概要 ................
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5.4 三次元拡散計算 (CI
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1. General Descriptions 1.1 Functio
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essential programs of the integrate
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Sphere (Pebble, HTGR) 1D-Plate (JRR
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ecause the scattering cross-section
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As shown in Fig.1.4-1, one PDS file
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1.5.1 Fast Fission Energy Range (10
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i n m≠n i n i n i n i 1 i i g( C
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mixture(s) having resonant nuclides
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thermal energy range. In the fixed
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1.10 Calculation Scheme In Fig.1.10
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3 2 1 CALL MICREF [20] CALL REACT C
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homogenized P 1 spectrum obtained a
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Consequently next step ’CALL MACR
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1.11 Output Information Major calcu
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(4) A floating number may be entere
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2.2 General Control and Energy Stru
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cell. = 2 The PEACO routine (hyperf
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should be avoided for the core wher
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Note: Usually IC15=1 is used in FBR
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Behrens’ term of the Benoist mode
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Only the first character (capital l
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NET ∑ i= 1 NEGT( i ) =(Total numb
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Block-1 Control integers /18/ 1 IGT
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asymmetric cell is surrounded by en
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= 0 Isotropic (white) reflection =
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degree for the numerical angular in
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3 EPSG Extrapolation criterion 4 R
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Block-10’ Required if IGT=11, or
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= 2 Neutron from moderator = 3 Neut
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Unit Cell Periodic B.C. 4 2 3 1 RX(
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NX=4 NTPIN=6 NAPIN=1 NPIN(1)=6 6 ID
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RDP(1)=0.0 RDP(2) RDP(3) 14 13 12 R
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2.5 ANISN ; One-dimensional S N Tra
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7 IBR Right boundary condition, sam
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22 IPM Angular dependent incident s
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EV = best guess for α or 0.0 when
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Block-04* Positions of interval bou
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2.6 TWOTRAN ; Two-dimensional S N T
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Note: The original TWOTRAN uses two
Page 91 and 92: = 0 (internally set) 19 IHM Total n
Page 93 and 94: = 3 R-θ 31 IEDOPT Edit options. =
Page 95 and 96: = 1 Yes Block-4 Control floating po
Page 97 and 98: Repeat Block-20 through Block-21, N
Page 99 and 100: 2.7 TUD ; One-dimensional Diffusion
Page 101 and 102: = 1 Monitor print at each inner ite
Page 103 and 104: equation is applied to meshes, the
Page 105 and 106: Pin Plate D2 D2 D1 D1 In cylindrica
Page 107 and 108: XYZ(1,2) Y-abscissa of the top side
Page 109 and 110: READ(9) (WORK(J+I),I=1,NDATA) END D
Page 111 and 112: absorption cross-section, each of w
Page 113 and 114: ITMX19 The upper limit of CPU time
Page 115 and 116: corner and there are the same numbe
Page 117 and 118: NUAC19 Override use of Chebychev po
Page 119 and 120: NUAC17 > 0 The constant for all gro
Page 121 and 122: ottom starting with a new card. For
Page 123 and 124: Card-006-3 Specification of meshes
Page 125 and 126: 4 SIG3 Absorption cross-section (
Page 127 and 128: 2 NFX2 Optional print control = 0 N
Page 129 and 130: Region 1 Region 2 Left Right X/R/R
Page 131 and 132: X T 22*11 Meshes 1 Mesh = 1 Region
Page 133 and 134: 2.9 Material Specification ’Mater
Page 135 and 136: fuel pin: MU08F0U2 and those in MOX
Page 137 and 138: hydrogen, add character ‘0’ to
Page 139 and 140: Usually, enter IRES=2 for the heavy
Page 141: 2.10 Reaction Rate Calculation The
Page 145 and 146: 3 U238 The position of the second n
Page 147 and 148: 2.11 Cell Burn-up Calculation The i
Page 149 and 150: = 2 Information for debugging = 3 D
Page 151 and 152: chains under consideration is enlar
Page 153 and 154: MACROWRK file. 2 INTSTP Step number
Page 155 and 156: Block-8-1 Required if IBC6=1 /1/ NM
Page 157 and 158: e avoided. Because U08W and U080 ar
Page 159 and 160: 2.12 PEACO ; The hyperfine Group Re
Page 161 and 162: 3. I/O FILES We shall describe the
Page 163 and 164: (E(g),g=1,NGF+1) structure. Boundar
Page 165 and 166: LTH(1) = (LD(1)+1)*LA(1), ordered a
Page 167 and 168: Background cross-sections Member Yz
Page 169 and 170: INT(2) = 0 K-member only without sc
Page 171 and 172: Member name Contents **************
Page 173 and 174: (WEIGHT(g),g=1,NGF) Lethargy widths
Page 175 and 176: 3.1.5 Fine Group Macroscopic Cross-
Page 177 and 178: Member mmmmebfM or caseebxM /10*ng+
Page 179 and 180: Member caseBNUP Material-wise burn-
Page 181 and 182: Initial inventory in the restart ca
Page 183 and 184: (YDIOX(j),j=1,NOWSTP) Fission yield
Page 185 and 186: (n/cm 2 /sec*cm 3 ), NRR is number
Page 187 and 188: 3.2.1 Common PS Files The following
Page 189 and 190: 3.2.5 PS files for TUD The PS files
Page 191 and 192: at the first column. Block-1-1 Numb
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= ‘DAYS’ days = ‘YEARS’ yea
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GD156 XGD60001 641560 154.660 0 0 0
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: ZZ050 1.50080E+00 *FP-Yield-Data
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Kr83 Zr95 fission β + decay, EC (n
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Ge73 Ge74 As75 Ge76 fission β + de
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4. Job Control Statements In this c
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~SRAC/tool/lmmake/lmmk/lmmk.sh, whi
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5. Sample Input Several typical exa
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613.0 650.0 760.0 769.0 & cooling 7
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5 5 5 5 5 5 & 5 5 5 5 5 5 & 1 2 3 4
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5.3 S N Transport Calculation (PIJ,
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XFEN0001 2 0 5.78720E-02 XNIN0001 2
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Water reflector Extrapolated B.C. B
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1 1 1 1 1 1 1 2 3 008 -2 1 1 999 /
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Note: This sample is time consuming
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XCRN0008 0 0 1.55546E-02 XNIN0008 0
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****** Input for material specifica
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T-Region R-Region X-Region Reflecti
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6. Utility for PDS File Management
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To read in the microscopic cross-se
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7. Mathematical Formulations 7.1 Fo
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scattering kernel at point r’ fro
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The integration by R between R j- a
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G j Pij ( lattice) = Pij ( isolated
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We, however, should take care of th
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2 = ρ 2 + x r sin β = ρ R = x
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1 i ∑ − 1 k = j+ 1 λ ij = λ k
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where λ λ 1 is 2 is = = N ∑ k k
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2π ri −1 Pij = − Σ ∫ ρdρ
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In Fig.7.1-5, the line PQ’ define
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pin rod are divided into four regio
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the arrays T and II, respectively.
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Note that among four terms appearin
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If a group-dependent form of Fick
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7.3 Optional Processes for Resonanc
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7.3.2 Table-look-up Method of f-tab
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has been introduced for the correct
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ϕ i ( 0 u ) = ∑ Pij ( u) W j ( u
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Geometry b i m f b f −( γ + γ )
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will be seen in the reference 65) .
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The lattice cell under study may co
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(2) Two resonance-absorbing composi
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One of the physical problems associ
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and V = V + V , F f m where Σ m ,
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We shall discuss the following two
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where X = 2R p ( Σ C = 2R πρ R p
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• the reduced collision probabili
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The root mean square (RMS) residual
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group flux and for the fast group f
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Table 7.5-1 (1/2) Nomenclature Symb
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7.5.1 Smearing Smearing or spatial
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7.5.2 Spectrum for Collapsing The f
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Here, an equivalent relation holds
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1 F = K ∑∫ g * χ g ( r) ϕ g (
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M dN i ( t) M = ∑ f j→iλ j N i
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8. Tables on Cross-Section Library
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Table 8.1-2 (2/2) Element index (zz
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JEFF-3.0 are based on other nuclear
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Table 8.2-1 (1/8) List of SRAC publ
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8.3 Energy Group Structure The ener
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(4) Upper Boundary of PEACO Routine
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References 1) K. Tsuchihashi, H. Ta
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Experiment,” J. Nucl. Sci. Techno
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75) K. Tasaka : “DCHAIN: Code for
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