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Variational nodal methods for neutron transport: 40 years in review
Nuclear Engineering and Technology, 2022 The variational nodal method for solving the neutron transport equation has evolved over 40 years. Based on a functional form of the Boltzmann neutron transport equation, the method now comprises a complete set of variants that can be employed for ...
Tengfei Zhang, Zhipeng Li
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VINUS: A neutron transport solver based on the variational nodal method for reactor core analysis
Nuclear Engineering and TechnologyCompared to traditional transverse integration methods, the variational nodal method, with its unique advantages, is more suitable for high-fidelity calculations of reactor physics in reactors with complex geometries and finer detail descriptions.
Zhulun Li +4 more
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Entropy, 2022 This paper introduces a direct method derived from the global radial basis function (RBF) interpolation over arbitrary collocation nodes occurring in variational problems involving functionals that depend on functions of a number of independent variables.
Ahmad Golbabai +2 more
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Development and Verification of Hexagonal Quasi-diffusion Code Based on Variational Nodal Method
Yuanzineng kexue jishu, 2023 New type reactors usually adopt advanced fuel types and more anisotropic fuel arrangements, the neutron spectrum is very different from that of pressurized water reactor, and the neutron anisotropy is stronger.
ZHUANG Kun;WANG Lianjie;LIU Kun;YAN Jiangtao;SHANG Wen
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Progress in Nuclear Energy, 2019 Abstract Hybrid parallelization of the three-dimensional variational nodal method (VNM) for pin-resolved neutron transport calculations is presented. Sets of node-energy response and associated matrices are assigned evenly to the available set of MPI processors and OpenMP is further employed to parallelize integrations over angle in the response ...
Tengfei Zhang +2 more
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Backflow Transformation for A=3 Nuclei with Artificial Neural Networks
Yuanzineng kexue jishu, 2023 A novel variational wave function defined as a Jastrow factor multiplying a backflow transformed Slater determinant was developed for A=3 nuclei. The Jastrow factor and backflow transformation were represented by artificial neural networks.
YANG Yilong, ZHAO Pengwei
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HEXAGONAL PWR-CORE MODELING AND SIMULATION WITH APPLICATION OF NECP-BAMBOO [PDF]
EPJ Web of Conferences, 2021 In this paper, the modeling and simulation of the PWRs loaded with hexagonal fuel assemblies has been implemented with the NECP-Bamboo code. NECP-Bamboo, consisting of a 2D lattice code named Bamboo-Lattice and a 3D steady-state core code named Bamboo ...
Zhang Cheng +3 more
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Saddle point least squares for the reaction–diffusion problem
Results in Applied Mathematics, 2020 We consider a mixed variational formulation for the reaction–diffusion problem based on a saddle point least square approach with an optimal test norm and nonconforming trial spaces.
Constantin Bacuta, Jacob Jacavage
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Advances in Mathematical Physics, 2021 In this paper, we study the Kirchhoff-type equation: −a+b∫ℝ3 ∇u2dxΔu+Vxu=Qxfu,in ℝ3, where a, b>0, f∈C1ℝ3,ℝ, and V,Q∈C1ℝ3,ℝ+. Vx and Qx are vanishing at infinity.
Ting Xiao, Canlin Gan, Qiongfen Zhang
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He jishu, 2023 BackgroundThere is usually a strong coupling of neutronics-thermal hydraulics (N-TH) fields inside nuclear reactors.PurposeThis study aims to accurately simulate the multi-physics fields in nuclear reactors by developing a three-dimensional N-TH coupling
YANG Mingrui +5 more
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