outline - 東京工業大学chiba/nds2018/presentation/s202...2018 symposium on nuclear data, nov....
TRANSCRIPT
Development of GENESIS, a general three-dimensional transport code based on the Legendre polynomial Expansion of Angular Flux method
Akio Yamamoto*), Akinori Giho, Tomohiro Endo*)
*) Nagoya University
1
2018 Symposium on Nuclear Data, Nov. 28, 2018Multi-Purpose Digital Hall & Collaboration Room (Ookayama campus, Tokyo Institute of Technology, Meguro, Tokyo)
Outline
Recent trends of advanced core analysis methods
Overview of GENESIS LEAF method Geometry treatments Verification results Summary
2
Recent trends of advanced core analysis methods
3
Recent trends (US)
(International) Nuclear Energy Research Initiative (NERI, I-NERI)
Consortium for Advanced Simulation of Light Water Reactors (CASL)
3D transport calculation in heterogeneous geometry DeCART, MPACT
4https://www.casl.gov/
Recent trends (ROK)
DeCART developed by I-NERI project nTRACER developed by SNU
5
http://neutron.snu.ac.kr/node/7
Recent trends (China)
Many activities in Xi’an Jiaotong University and related reactor physics group
3D pin-by-pin (cell homogenous) transport code
6B. Zhang et al., “Heterogeneous Neutron Leakage Model for PWR Pin-by-pin Calculation,” Ann. Nucl. Energy, 110, 443 (2017).
Recent trends (EU)
CEA and EdF are developing next generation core analysis code for fast reactors
7D. Schneider et al., “APOLLO3: CEA/DEN Deterministic Multi-Purpose Code for Reactor Physics Analysis,” Proc. PHYSOR2016
Outline of the GENESIS code
8
Outline of GENESIS
Multigroup neutron and photon transport calculations Major target: reactor cores
Generalized geometry treatment Deterministic methods
3D LEAF、2D MOC
Multi-group cross sections are provided by other codes Linkages to SRAC2006, Free-FIDO format
are implemented 9
Legendre polynomial Expansion of Angular Flux (LEAF) method
10
LEAF method
11
z
x
y
x
y
z
x
y
z
s
LEAF method
12
LEAF method
13
ss
z
z
s
z
𝜓 , 𝑧
𝜓 , 𝑠
𝜓 , 𝑧
𝜓 , 𝑠
𝑞 𝑠, 𝑧
Planar MOC vs LEAF
14
http://neutron.snu.ac.kr/node/7
z
x
yz
s
Planar MOCMOC for radial direction (2D)Low order calculation (e.g. diffusion, SPn) for axial direction
LEAFNo approximation
Geometry treatment by GENESIS
15
Geometry – overview
3D geometry is expressed as stack of planes Use combinatorial geometry for radial direction
16
https://phys.org/news/2013-07-casl-milestone-validates-reactor-tva.htmlhttp://neutron.snu.ac.kr/node/7
BWR – 3x3 fuel assemblies
BWR – flux regions
BWR – 3x3 fuel assemblies
KAIST benchmark problem (Cho et al.)
C5G7 hexagonal benchmark (Joo et al.)
PWR – 4 loop type, full core with baffle reflector
Seed – blanket fuel
CANDU
25
Large FBR
26
FBR fuel assembly with wrapper tube
Verification calculations
27
C5G7 3D benchmark problem
28
Rodded A, Rodded B
Rodded B
C5G7 3D benchmark problem
29
0.13
0.25
0.64
0.34
0.00
0.10
0.20
0.30
0.40
0.50
0.60
0.70
Genesis Chaplet-3D CRX MCCG3D
RM
S di
ffer
ence
(%
)
RMS error of pin-by-pin fission rate (Rodded-B)
C5G7 3D void benchmark problem
30
Void-A Void-B
C5G7 3D void benchmark problem
31
Pin-by-pin fission rate in Void-A condition (axially integrated)
C5G7 3D void benchmark problem
32
-0.29% -0.14% -0.12% 0.02% 0.01% 0.17% 0.03% 0.05% 0.20% 0.06% 0.04% 0.18% 0.06% 0.08% -0.01% -0.04% -0.07% -0.09% -0.12% 0.02% 0.02% 0.04% 0.05% -0.02% -0.02% -0.03% -0.02% -0.04% 0.02% 0.03% -0.03% -0.05% -0.20% -0.30%1.00%
-0.15% 0.06% -0.13% -0.06% 0.13% -0.04% 0.14% -0.03% 0.28% -0.04% 0.13% 0.03% 0.16% 0.01% -0.05% 0.07% -0.05% -0.04% 0.08% -0.17% 0.02% 0.10% 0.04% -0.03% 0.01% 0.00% -0.03% -0.01% 0.01% 0.01% 0.00% -0.20% -0.13% -0.24%0.80%
-0.10% -0.15% 0.04% 0.06% 0.10% -0.02% 0.18% 0.18% 0.00% 0.11% 0.10% 0.05% -0.08% -0.04% -0.04% -0.22% -0.01% 0.04% 0.02% -0.02% -0.03% -0.02% -0.02% -0.01% -0.03% -0.10% -0.32% -0.23%0.60%
0.02% -0.05% 0.06% -0.02% -0.03% 0.09% 0.18% 0.09% 0.20% 0.12% 0.04% 0.03% 0.08% 0.02% 0.05% -0.02% -0.01% -0.06% 0.04% 0.06% -0.02% -0.03% -0.03% -0.02% -0.03% 0.02% 0.02% -0.12% -0.13% -0.21%0.40%
0.00% 0.13% 0.09% -0.02% 0.12% 0.05% 0.04% -0.05% 0.01% -0.04% 0.08% 0.09% 0.12% 0.01% 0.10% 0.12% -0.09% -0.11% -0.06% -0.16% 0.02% 0.06% 0.01% -0.06% 0.01% -0.03% -0.03% -0.04% 0.00% -0.01% -0.01% -0.18% -0.20% -0.28%0.20%
0.16% -0.04% 0.00% 0.08% -0.17% 0.13% 0.12% -0.12% 0.11% 0.05% -0.02% 0.05% 0.02% -0.22% 0.01% 0.04% -0.05% -0.03% -0.04% -0.04% 0.01% -0.05% -0.33% -0.16%0.00%
0.05% 0.15% -0.04% 0.09% 0.05% -0.17% 0.04% 0.08% 0.11% 0.08% 0.05% -0.12% 0.06% 0.10% 0.05% 0.11% -0.07% -0.09% -0.05% -0.11% -0.03% 0.08% -0.04% -0.04% 0.00% -0.03% -0.01% -0.05% -0.03% 0.04% -0.06% -0.15% -0.17% -0.26%-0.20%
0.08% -0.05% 0.18% 0.19% -0.04% 0.12% 0.07% -0.10% -0.13% -0.06% 0.10% 0.13% -0.01% 0.17% 0.13% -0.01% -0.03% -0.06% -0.13% -0.04% 0.08% 0.08% 0.01% -0.03% -0.02% -0.04% -0.05% -0.02% 0.02% 0.04% 0.02% -0.09% -0.23% -0.20%-0.40%
0.18% 0.29% 0.12% -0.01% 0.11% -0.12% -0.13% 0.14% 0.05% 0.12% 0.16% 0.00% -0.07% -0.09% -0.20% 0.12% 0.04% -0.01% 0.00% 0.05% 0.08% -0.21% -0.20% -0.21%-0.60%
0.08% -0.03% 0.17% 0.18% -0.04% 0.11% 0.08% -0.08% -0.10% -0.04% 0.12% 0.15% 0.01% 0.17% 0.14% 0.01% -0.03% -0.05% -0.10% -0.04% 0.08% 0.12% 0.02% 0.01% 0.00% -0.01% -0.02% 0.00% 0.03% 0.07% 0.05% -0.07% -0.20% -0.17%-0.80%
0.06% 0.15% 0.01% 0.10% 0.05% -0.12% 0.04% 0.07% 0.11% 0.09% 0.08% -0.07% 0.09% 0.14% 0.06% 0.11% -0.03% -0.08% -0.01% -0.04% 0.03% 0.08% 0.02% -0.01% 0.02% 0.03% 0.01% -0.02% 0.00% 0.06% -0.02% -0.10% -0.10% -0.22%-1.00%
0.17% 0.02% 0.04% 0.09% -0.12% 0.14% 0.14% -0.07% 0.10% 0.07% 0.02% 0.08% 0.07% -0.12% 0.10% 0.10% 0.01% 0.02% 0.01% 0.01% 0.07% 0.03% -0.22% -0.07%
0.05% 0.14% 0.12% 0.05% 0.13% 0.08% 0.08% -0.01% 0.03% 0.02% 0.11% 0.10% 0.13% 0.08% 0.15% 0.14% -0.03% -0.07% 0.05% -0.04% 0.08% 0.15% 0.09% 0.02% 0.07% 0.08% 0.04% 0.03% 0.08% 0.08% 0.07% -0.09% -0.08% -0.17%
0.08% 0.00% 0.09% 0.05% 0.05% 0.11% 0.17% 0.10% 0.17% 0.12% 0.08% 0.08% 0.13% 0.05% 0.07% 0.03% 0.08% 0.02% 0.09% 0.11% 0.02% 0.04% -0.08% 0.04% 0.02% 0.08% 0.08% -0.03% 0.00% -0.09%
-0.02% -0.06% 0.04% 0.08% 0.10% 0.02% 0.14% 0.12% 0.04% 0.13% 0.14% 0.08% 0.00% 0.01% 0.00% -0.14% 0.04% 0.03% -0.01% -0.02% -0.02% -0.01% -0.01% 0.00% 0.02% 0.00% -0.22% -0.08%
-0.05% 0.07% -0.09% 0.02% 0.12% -0.03% 0.11% 0.00% 0.15% -0.01% 0.10% 0.02% 0.13% 0.05% -0.01% 0.09% 0.00% -0.06% 0.11% -0.14% 0.06% 0.07% -0.06% -0.04% -0.05% -0.04% -0.06% 0.01% -0.02% 0.05% 0.08% -0.13% 0.03% -0.10%
-0.09% -0.06% -0.04% 0.05% -0.09% 0.07% -0.07% -0.04% 0.00% -0.03% -0.05% 0.07% -0.03% 0.07% 0.00% 0.00% -0.04% -0.02% -0.06% 0.00% 0.01% -0.05% 0.04% -0.05% -0.04% -0.05% -0.03% -0.05% 0.02% -0.01% 0.01% 0.01% -0.08% -0.12%
-0.10% -0.05% -0.04% -0.02% -0.11% 0.03% -0.09% -0.06% -0.07% -0.06% -0.09% 0.07% -0.08% 0.03% -0.01% -0.05% -0.01% -0.05% -0.03% -0.02% 0.01% -0.03% 0.03% -0.02% -0.02% -0.02% -0.02% -0.03% 0.02% -0.03% 0.01% -0.02% -0.02% -0.03%
-0.13% 0.08% -0.21% -0.01% -0.06% -0.22% -0.06% -0.14% -0.09% -0.10% -0.02% -0.12% 0.04% 0.08% -0.14% 0.10% -0.05% -0.02% 0.03% -0.05% -0.01% 0.05% -0.02% 0.03% -0.01% 0.05% -0.02% 0.02% -0.02% 0.01% -0.01% -0.03% 0.00% -0.01%
0.02% -0.16% 0.00% -0.06% -0.15% -0.11% -0.04% -0.04% -0.04% -0.05% 0.02% 0.05% -0.14% 0.00% -0.01% -0.04% 0.00% 0.01% 0.03% 0.00% 0.04% 0.04% -0.02% 0.02% 0.01% 0.00% 0.00% -0.02%
0.02% 0.02% 0.04% 0.02% 0.00% -0.03% 0.08% -0.20% 0.07% 0.02% 0.09% 0.08% 0.03% 0.06% 0.01% 0.02% 0.00% 0.02% -0.01% 0.00% 0.03% 0.04% 0.03% 0.05% 0.03% 0.01% 0.00% 0.02% 0.01% 0.03%
0.04% 0.10% 0.02% 0.04% 0.06% 0.04% 0.08% 0.09% 0.12% 0.12% 0.08% 0.10% 0.15% 0.09% -0.01% 0.07% -0.05% -0.02% 0.05% 0.03% -0.01% 0.02% 0.01% 0.01% -0.01% -0.01% -0.01% 0.03% 0.02% 0.02% 0.01% 0.03% 0.03% 0.06%
0.04% 0.04% 0.06% 0.01% -0.04% 0.01% 0.02% 0.02% 0.10% 0.11% -0.05% 0.04% 0.03% -0.01% 0.00% 0.01% -0.05% 0.03% 0.03% -0.03% 0.03% 0.01% 0.02% 0.06%
-0.02% -0.03% -0.01% -0.02% -0.06% -0.06% -0.04% -0.03% 0.05% 0.01% -0.02% 0.00% 0.02% 0.02% -0.02% -0.04% -0.05% -0.02% 0.03% 0.00% 0.04% 0.02% -0.04% 0.01% 0.03% 0.04% 0.02% 0.03% -0.01% 0.03% 0.03% 0.02% 0.05% 0.04%
-0.02% 0.01% -0.03% -0.03% 0.01% -0.03% 0.00% -0.02% -0.01% 0.00% 0.01% 0.02% 0.07% 0.03% -0.02% -0.05% -0.04% -0.02% -0.02% 0.04% 0.05% 0.00% 0.03% 0.02% -0.02% -0.03% -0.02% 0.04% 0.05% -0.01% 0.05% 0.05% 0.02% 0.06%
-0.03% 0.00% -0.04% -0.03% -0.03% -0.04% -0.02% 0.03% 0.08% -0.08% -0.04% -0.05% -0.02% 0.05% 0.03% 0.00% 0.04% -0.03% -0.02% 0.04% 0.01% 0.02% 0.07% 0.07%
-0.02% -0.04% -0.02% -0.02% -0.03% -0.04% -0.01% -0.05% 0.00% -0.03% 0.01% 0.01% 0.05% 0.04% 0.00% -0.06% -0.03% -0.02% -0.03% 0.04% 0.05% -0.01% 0.04% 0.03% -0.01% -0.02% 0.00% 0.03% 0.04% 0.00% 0.05% 0.05% 0.01% 0.05%
-0.04% -0.01% -0.02% -0.03% -0.04% -0.04% -0.06% -0.02% 0.05% 0.00% -0.02% 0.01% 0.03% 0.02% -0.01% 0.01% -0.06% -0.03% 0.03% 0.00% 0.02% 0.03% -0.03% 0.02% 0.03% 0.04% 0.03% 0.03% 0.00% 0.04% 0.04% 0.02% 0.04% 0.05%
0.02% 0.01% 0.02% 0.00% -0.04% 0.02% 0.03% 0.00% 0.08% 0.08% -0.01% 0.03% 0.02% -0.02% -0.01% 0.02% -0.01% 0.03% 0.04% -0.01% 0.04% 0.02% 0.03% 0.06%
0.03% 0.01% -0.01% 0.02% -0.01% 0.01% 0.04% 0.04% 0.08% 0.07% 0.06% 0.07% 0.08% 0.08% 0.00% 0.05% -0.01% -0.03% 0.02% 0.03% 0.01% 0.03% 0.03% 0.03% 0.00% 0.02% 0.02% 0.03% 0.03% 0.04% 0.03% 0.04% 0.04% 0.05%
-0.03% 0.00% -0.03% -0.01% -0.06% -0.06% 0.02% -0.21% 0.04% -0.02% 0.03% 0.06% 0.03% 0.09% 0.01% 0.02% 0.00% 0.01% 0.02% 0.02% 0.04% 0.05% 0.04% 0.05% 0.04% 0.02% 0.03% 0.04% 0.02% 0.04%
-0.05% -0.21% -0.10% -0.12% -0.18% -0.16% -0.09% -0.08% -0.09% -0.09% -0.03% 0.00% -0.13% 0.01% -0.02% -0.02% 0.01% 0.03% 0.04% 0.03% 0.05% 0.05% 0.03% 0.04% 0.04% 0.03% 0.02% 0.03%
-0.21% -0.13% -0.32% -0.14% -0.20% -0.32% -0.17% -0.24% -0.19% -0.20% -0.11% -0.21% -0.08% -0.01% -0.21% 0.03% -0.07% -0.01% 0.01% 0.00% 0.02% 0.04% 0.02% 0.05% 0.02% 0.07% 0.02% 0.04% 0.02% 0.03% 0.02% 0.03% 0.03% 0.04%
-0.30% -0.23% -0.24% -0.22% -0.27% -0.15% -0.25% -0.20% -0.21% -0.18% -0.21% -0.07% -0.17% -0.09% -0.07% -0.10% -0.11% -0.02% 0.01% -0.01% 0.03% 0.06% 0.07% 0.05% 0.07% 0.07% 0.07% 0.05% 0.06% 0.06% 0.03% 0.03% 0.04% 0.03%
Absolute error of pin-by-pin fission rate in Void-A condition (axially integrated)1.0%
-1.0%
C5G7 3D void benchmark problem
33
0.14
0.18
0.16
0.00
0.02
0.04
0.06
0.08
0.10
0.12
0.14
0.16
0.18
0.20
No void Void-A Void-B
Abso
lute
ave
rage
diff
. (%
)
Average absolute difference of pin-wise fission rate
C5G7 3D hexagonal benchmark problem
34
C5G7 3D hexagonal benchmark problem
35
0.10
0.49
0.00
0.10
0.20
0.30
0.40
0.50
0.60
Genesis nTracer
RM
S di
ffer
ence
(%
)
RMS difference of pin-by-pin fission rate (Rodded-B)
Kobayashi 3D transport benchmark: geometry and XS
36
Problem 3
Void
Source
Shield
Region S
n/cm3 /𝑠
Σt
1/cm
Set i Set ii
Σs
1/cm
Σs
1/cm
Source 1 10 1 0 5 10 2
Void 0 10 4 0 5 10 5
Shield 0 10 1 0 5 10 2
K. Kobayashi et al, 3-D RADIATION TRANSPORT BENCHMARK PROBLEMS AND RESULTS FOR SIMPLEGEOMETRIES WITH VOID REGIONS2000, OECD/NEA
Results (Prob.3,without scattering)
371.0E‐06
1.0E‐05
1.0E‐04
0 10 20 30 40 50 60
Neu
tron Scalar Flux [1/cm^2
/s]
Position [cm]
Reference
Azi 120, Pol 60
Azi 96, Pol 48
Azi 72, Pol 36
Azi 48, Pol 24
‐30%
‐20%
‐10%
0%
10%
20%
30%
40%
0 10 20 30 40 50 60
Difference of Neu
tron Flux [‐]
Position [cm]
Azi 120, Pol 60
Azi 96, Pol 48
Azi 72, Pol 36
Azi 48, Pol 24
Results (Prob.3,with scattering)
38
1.0E-05
1.0E-04
1.0E-03
0 10 20 30 40 50 60
Neu
tron
Sca
lar
Flux
[1/
cm^
2/s]
Position [cm]
Reference
Azi 120, Pol 60
Azi 96, Pol 48
Azi 72, Pol 36
Azi 48, Pol 24
-10%
-8%
-6%
-4%
-2%
0%
2%
4%
6%
8%
10%
0 10 20 30 40 50 60
Diff
eren
ce o
f N
eutr
on F
lux
[-]
Position [cm]
Azi 120, Pol 60
Azi 96, Pol 48
Azi 72, Pol 36
Azi 48, Pol 24
Convergence stability
Residual of scalar flux (with scattering)
39
1.0E‐06
1.0E‐05
1.0E‐04
1.0E‐03
1.0E‐02
1.0E‐01
1.0E+00
1.0E+01
0 2 4 6 8 10 12 14 16
Residual of scalar flux
Number of transport sweeps
Summary and future tasks
40
Summary and future tasks
Introduce development status of GENESIS, which is a multigroup neutron/photon transport calculation code
Calculation capabilities are almost implemented. Released to Japanese users at June 2018. Contact to authors for detail Search “中性子輸送計算コードGENESIS”
Further developments on calculation efficiency, extension of available cross section formats
Expect wide use of GENESIS in Japan as a cutting-edge transport calculation code
41