A Comparison of Monte Carlo and Deterministic Solvers for keff and Sensitivity Calculations

Haeck, Wim; Parsons, Donald Kent; White, Morgan Curtis; Saller, Thomas; Favorite, Jeffrey A.

doi:10.2172/1412920

Cited by 3 publications

(4 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…34) has been performed for keff problems for fast spherical systems. 40 3 , respectively. The composition of the fuel is given in Table VIII.…”

Section: Sample Problems and Verificationmentioning

confidence: 98%

“…Without this option, in cylindrical problems, the surface fluxes appearing in Eqs. (29), (40), and (67) are approximated using mesh-centered moments. This feature is intended for PARTISN versions before 8.27.…”

Section: Iiic Command Linementioning

confidence: 99%

“…(28), (39), or (66), respectively, and the derivatives with respect to the interface locations, as given by Eq. 29, (40), or (67), respectively. For subcritical multiplication problems, the file sens_s_r containing the sensitivities of the Feynman Y or Sm2 with respect to mass densities as given by Eq.…”

Section: Outputmentioning

confidence: 99%

See 2 more Smart Citations

(U) SENSMG: First-Order Sensitivities of Neutron Reaction Rates, Reaction-Rate Ratios, Leakage, k<sub>eff</sub>, α, and Subcritical Multiplication Using PARTISN

Favorite

2019

Self Cite

View full text Add to dashboard Cite

SENSMG is a tool for computing first-order sensitivities of neutron reaction rates, reaction-rate ratios, leakage, keff, α, and subcritical multiplication using the PARTISN multigroup discrete-ordinates code. 1 SENSMG computes sensitivities to all of the transport cross sections and data (total, fission, a nu, chi, and all scattering moments), four edit cross sections (absorption, capture, elastic scattering, and inelastic scattering), and the density for every isotope and energy group. It also computes sensitivities to the mass density for every material and derivatives with respect to all interface locations and outer boundaries. The tool can be used for one-dimensional spherical and slab (r) and two-dimensional cylindrical (r-z) geometries. The tool can be used for fixed-source and eigenvalue problems. For most responses, the tool implements Generalized Perturbation Theory (GPT) as discussed by Williams 2 and Stacey. 3 The tool is thus limited to computing sensitivities only for GPT-allowable responses. 4 For subcritical multiplication, the tool implements sensitivities derived by O'Brien 5 and Clark. 6 SENSMG has a similar role as the old SWANLAKE (Ref. 7), FORSS (Ref. 8), and SENSIT (Ref. 9) codes. It has capabilities similar to those of SUSD3D (Ref. 10), which also uses PARTISN. Section II of this report describes the theory behind adjoint-based sensitivities, gives the equations that SENSMG solves, and defines the sensitivities that are output. Section III describes the user interface, including the input file and command line options. Section IV describes the output. Section V gives some notes about the coding that may be of interest. Section VI presents some sample problems and discusses verification, which is ongoing. Section VII lists needs and ideas for future work. Appendix A lists most of the input files whose results are presented in Sec. VI. Appendix B provides some useful details on one of the cross-section libraries that SENSMG supports. a Technically, fission is an edit cross section in PARTISN because only the product with nu is used in the transport.

show abstract

“…34) has been performed for keff problems for fast spherical systems. 40 3 , respectively. The composition of the fuel is given in Table VIII.…”

Section: Sample Problems and Verificationmentioning

confidence: 98%

Section: Iiic Command Linementioning

confidence: 99%

See 1 more Smart Citation

(U) SENSMG: First-Order Sensitivities of Neutron Reaction Rates, Reaction-Rate Ratios, Leakage, k<sub>eff</sub>, α, and Subcritical Multiplication Using PARTISN

Favorite

2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…(12), are used instead of Γ Ãg ðr; b ΩÞ and Γ Ãg l ðrÞ, and (3) the integrals are divided by the denominator of Eq. (22).…”

Section: Iib K Eff -Eigenvalue Problemsmentioning

confidence: 99%

SENSMG: First-Order Sensitivities of Neutron Reaction Rates, Reaction-Rate Ratios, Leakage,k_eff, andαUsing PARTISN

Favorite

2018

Nuclear Science and Engineering

Self Cite

View full text Add to dashboard Cite

SENSMG is a tool for calculating the first-order sensitivities of reaction-rate ratios, k eff , and α in critical problems and reaction-rate ratios, reaction rates, and leakage in fixed-source problems to multigroup cross sections, isotope densities, material mass densities, and interface locations using the PARTISN multigroup discreteordinates code by implementing Generalized Perturbation Theory. SENSMG can be used for one-dimensional spherical and slab (r) and two-dimensional cylindrical (r-z) geometries. For fixed-source (leakage) problems, SENSMG relies on the MISC and/or SOURCES4C codes to compute neutron source rate densities from spontaneous fission and (α,n) sources. SENSMG is a combination of Python and Fortran and was developed under Linux. This computer code abstract describes all user inputs, the input file, and output files. This computer code abstract describes how SENSMG can be modified to support different computer platforms, PARTISN versions, or crosssection availability. Several verification problems are presented in which SENSMG results are compared with MCNP6, SCALE6.2, and direct perturbations (central differences). SENSMG is available at https://github.com/jafavorite/SENSMG. SENSMG can be modified to accommodate other deterministic transport codes that have an adjoint capability.

show abstract

Deterministic neutron transport and burnup code coupling assessment

Vivancos,

Miró,

Barrachina

et al. 2024

Annals of Nuclear Energy

View full text Add to dashboard Cite

A Comparison of Monte Carlo and Deterministic Solvers for keff and Sensitivity Calculations

Cited by 3 publications

References 0 publications

(U) SENSMG: First-Order Sensitivities of Neutron Reaction Rates, Reaction-Rate Ratios, Leakage, k<sub>eff</sub>, α, and Subcritical Multiplication Using PARTISN

(U) SENSMG: First-Order Sensitivities of Neutron Reaction Rates, Reaction-Rate Ratios, Leakage, k<sub>eff</sub>, α, and Subcritical Multiplication Using PARTISN

SENSMG: First-Order Sensitivities of Neutron Reaction Rates, Reaction-Rate Ratios, Leakage,k_eff, andαUsing PARTISN

Deterministic neutron transport and burnup code coupling assessment

Contact Info

Product

Resources

About

A Comparison of Monte Carlo and Deterministic Solvers for keff and Sensitivity Calculations

Cited by 3 publications

References 0 publications

(U) SENSMG: First-Order Sensitivities of Neutron Reaction Rates, Reaction-Rate Ratios, Leakage, k<sub>eff</sub>, α, and Subcritical Multiplication Using PARTISN

(U) SENSMG: First-Order Sensitivities of Neutron Reaction Rates, Reaction-Rate Ratios, Leakage, k<sub>eff</sub>, α, and Subcritical Multiplication Using PARTISN

SENSMG: First-Order Sensitivities of Neutron Reaction Rates, Reaction-Rate Ratios, Leakage,keff, andαUsing PARTISN

Deterministic neutron transport and burnup code coupling assessment

Contact Info

Product

Resources

About

SENSMG: First-Order Sensitivities of Neutron Reaction Rates, Reaction-Rate Ratios, Leakage,k_eff, andαUsing PARTISN