Subchannel analysis of annular fuel assembly using the preconditioned Jacobian-free Newton Krylov methods

Esmaili, H.; Kazeminejad, H.; Khalafi, H.; Mirvakili, Seyed Mohammad

doi:10.1016/j.anucene.2020.107616

Cited by 15 publications

(2 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The JFNK methods have good computational efficiency due to the fast and robust convergence, which are widely used to solve the atmospheric convection problem (Hossain and Alam, 2012), the sea ice simulation (Yaremchu and Panteleev, 2022), two-phase flow calculation (Hajizadeh et al, 2018), the neutron diffusion/transport models (Gill, 2009;Knoll et al, 2011), thermal hydraulics simulation (Esmaili et al, 2020) and multi-physics coupled problems (Walker et al, 2019). Meanwhile, some popular multi-physics coupled environments (or platforms), such as MOOSE (Gaston et al, 2009), LIME (Pawlowski et al, 2011) and VERA (Turner et al, 2016), employ the JFNK framework to solve the complicated reactor coupled systems.…”

Section: Open Accessmentioning

confidence: 99%

Parallel Jacobian-free Newton Krylov discrete ordinates method for pin-by-pin neutron transport models

Zhang

Zhou

2023

Front. Energy Res.

View full text Add to dashboard Cite

A parallel Jacobian-Free Newton Krylov discrete ordinates method (comePSn_JFNK) is proposed to solve the multi-dimensional multi-group pin-by-pin neutron transport models, which makes full use of the good efficiency and parallel performance of the JFNK framework and the high accuracy of the Sn method for the large-scale models. In this paper, the k-eigenvalue and the scalar fluxes (rather than the angular fluxes) are chosen as the global solution variables of the parallel JFNK method, and the corresponding residual functions are evaluated by the Koch–Baker–Alcouffe (KBA) algorithm with the spatial domain decomposition in the parallel Sn framework. Unlike the original Sn iterative strategy, only a “flattened” power iterative process which includes a single outer iteration without nested inner iterations is required for the JFNK strategy. Finally, the comePSn_JFNK code is developed in C++ language and, the numerical solutions of the 2-D/3-D KAIST-3A benchmark problems and the 2-D/3-D full-core MOX/UOX pin-by-pin models with different control rod distribution show that comePSn_JFNK method can obtain significant efficiency advantage compared with the original power iteration method (comePSn) for the parallel simulation of the large-scale complicated pin-by-pin models.

show abstract

Section: Open Accessmentioning

confidence: 99%

Parallel Jacobian-free Newton Krylov discrete ordinates method for pin-by-pin neutron transport models

Zhang

Zhou

2023

Front. Energy Res.

View full text Add to dashboard Cite

show abstract

“…Esmaili et al (2019) applied orthogonal collocation method to numerically solve the temperature distribution of annular fuel. Esmaili et al (2020) used preconditioned Jacobian-free Newton Krylov methods to reduce computational cost of subchannel code. However, Neither of these codes consider the effects of tight-lattice on the thermal hydraulic performance of annular fuel.…”

Section: Introductionmentioning

confidence: 99%

Researches on Special Thermal Hydraulic Phenomena of Annular Fuel Assembly by Sub-Channel Analysis Code-NACAF

Zhang

Shan

et al. 2021

Front. Energy Res.

View full text Add to dashboard Cite

Dual cooled annular fuel is a novel fuel design, which has the potential to improve the reactor power density while maintaining or improving its safety margin. The effects of tight-lattice geometry, fuel burnup, fuel expansion, coolant channel blockage on the thermal hydraulic performance of annular fuel is studied to illustrate its special features in this paper. A sub-channel analysis code named NACAF, which includes empirical constitutive models in consideration of tight-lattice effects on prediction of pressure drop, critical heat flux and turbulent mixing, channel blockage model, heat conduction model for dual surface cooling condition, coolant flowrate distribution between inner and outer channel, is developed for annular fuel assembly or core analysis based on homogenous fluid model. Validation work is carried out with comparing NACAF results with analytical solutions, as well as numerical results of existing sub-channel code for annular fuel, such as VIPRE-01 and TAFIX. Comparison results demonstrates NACAF’s prediction error is acceptable and it has the ability to simulate thermal hydraulic performance of annular fuels or annular fuel bundles. Based on the developed and verified NACAF, the special thermal hydraulic phenomena of annular fuel are studied to clarify the features of annular fuel.

show abstract

A modified JFNK method for solving the fundamental eigenmode in k-eigenvalue problem

Liu

et al. 2022

Annals of Nuclear Energy

View full text Add to dashboard Cite

Subchannel analysis of annular fuel assembly using the preconditioned Jacobian-free Newton Krylov methods

Cited by 15 publications

References 43 publications

Parallel Jacobian-free Newton Krylov discrete ordinates method for pin-by-pin neutron transport models

Parallel Jacobian-free Newton Krylov discrete ordinates method for pin-by-pin neutron transport models

Researches on Special Thermal Hydraulic Phenomena of Annular Fuel Assembly by Sub-Channel Analysis Code-NACAF

A modified JFNK method for solving the fundamental eigenmode in k-eigenvalue problem

Contact Info

Product

Resources

About