Covariance data: Status and Perspective at BNL
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Transcript of Covariance data: Status and Perspective at BNL
Brookhaven Science AssociatesU.S. Department of Energy
Covariance data: Status and Perspective at BNL
D. Rochman, M. W. Herman, P. ObloD. Rochman, M. W. Herman, P. ObložžinskinskýýNational Nuclear Data Center, Brookhaven National LaboratoryNational Nuclear Data Center, Brookhaven National Laboratory
&&
T. KawanoT. KawanoT-16, Los Alamos National LaboratoryT-16, Los Alamos National Laboratory
Brookhaven Science AssociatesU.S. Department of Energy
Methodology for covariance calculations at BNL
Pointwise cross sections (with any energy groups)Pointwise cross sections (with any energy groups)
RRR(Resolved Resonance
Region)
URR(Unresolved
Resonance Region)
FaR(Fast Region)
10-2 10-1 100 101 102 103100
101
102
103
104
EMPIRE + KALMAN
Resonance Module + KALMAN
105 106 107
5
6
7
8
9
10
Cro
ss S
ectio
n (
Ba
rns)
Neutron Energy (eV)
Brookhaven Science AssociatesU.S. Department of Energy
General Procedure
-Fast Region-Hauser Feshbach-Pre-equilibrium-…
-Resonance Region-Breit Wigner-Reich Moore
Models and parameters
ParametersParameters
SensitivitySensitivity
KALMANFilter
an optimal recursive data processing
algorithm
or
Cross SectionCross SectionUncertaintiesUncertainties
and and Cross SectionCross SectionCorrelationsCorrelations
ParametersParameters
UncertaintyUncertainty
RIPL&
Parameter uncertainty adjustment
Optional:Optional:Thermal neutron captureThermal neutron capture
Resonance IntegralResonance Integral
Brookhaven Science AssociatesU.S. Department of Energy
General Procedure
Up to today, this procedure was applied to:
• Gd-152 to Gd-160 from 35 to 500 parameters (R3+URR+FaR)• Am-241 790 parameters (R3+URR)• Tc-99 1600 parameters (R3+URR)• U-233, 234, 236 from 250 to 3850 parameters (R3+URR)
Resonance region Fast RegionBreit Wigner,
Reich Moore models
Compound, pre-equilibrium, direct models
En,n,f 1f2Optical par., -strength func,
level densities …
Brookhaven Science AssociatesU.S. Department of Energy
152Gd(n,): Variance
10-3 10-2 10-1 100 101 102 103 104 105 106 107
1E-3
0.01
0.1
1
10
100
1000
10-3 10-2 10-1 100 101 102 103 104 105 106 107
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
C
ross
Se
ctio
n (
Ba
rns)
Re
lativ
e U
nce
rta
inty
(%
)
Incident Neutron Energy (eV)
Resonance Module + KALMAN EMPIRE + KALMAN SAMMY Retroactive Method Atlas 2006 Wisshak et al.
Brookhaven Science AssociatesU.S. Department of Energy
152Gd(n,): Correlation Energy-Energy
Energy (MeV)
Ene
rgy
(MeV
)
100.10.00110-510-7
Brookhaven Science AssociatesU.S. Department of Energy
155Gd(n,): Variance
10-3 10-2 10-1 100 101 102 103 104 105 106 107
1E-3
0.01
0.1
1
10
100
1000
10000
100000
10-3 10-2 10-1 100 101 102 103 104 105 106 107
0
5
10
15
20
25
30
C
ross
Se
ctio
n (
Ba
rns)
Resonance Module + KALMAN EMPIRE + KALMAN SAMMY Retroactive Method Atlas 2006 Wisshak et al.
Re
lativ
e U
nce
rta
inty
(%
)
Incident Neutron Energy (eV)
Brookhaven Science AssociatesU.S. Department of Energy
157Gd(n,): Correlation Energy-Energy
Energy (MeV)
Ene
rgy
(MeV
)
100.10.00110-510-7
Brookhaven Science AssociatesU.S. Department of Energy
241Am(n,f): Variance
10-3 10-2 10-1 100 101 102 103 104 105 106 107
1E-4
1E-3
0.01
0.1
1
10
100
10-3 10-2 10-1 100 101 102 103 104 105 106 107
0
10
20
30
40
50
60
70
C
ross
Se
ctio
n (
Ba
rns)
241Am(n,f) in 44 energy groups
Resonance Module + KALMAN Atlas 2006
Re
l. U
nc.
(%
)
Incident Neutron Energy (eV)
Brookhaven Science AssociatesU.S. Department of Energy
241Am(n,f), 234U(n,f): Correlation Energy-Energy
234U(n,f)
Energy (MeV) Energy (MeV)241Am(n,f)
10-7 10-5 0.001 10-7 10-5 0.001
Brookhaven Science AssociatesU.S. Department of Energy
236U(n,f) and 99Tc(n,)
Energy (MeV)
236U(n,f) 99Tc(n,)
Energy (MeV)
10-7 10-5 0.00110-7 10-5 0.001
Brookhaven Science AssociatesU.S. Department of Energy
Production Schedule
• May 2006 : proof of principle on 8 Gd isotopes, 241Am, 99Tc, 233U, 234U, 236U
• End 2006 : Codes ready and running on a 10-nodes cluster
• Mid 2007 : Production of covariances for selected materials
• End 2007 : Low fidelity covariances for ENDF/A (if project approved)
Covariance matrix available -in any multi-group representation-at any temperatures-in tabulated form or MF33 format