中子扩散三维非均匀变分节块法及平源加速方法研究

Tengfei Zhang; Hongchun Wu; Liangzhi Cao; Yunzhao Li; Jinbiao Xiong; Xiaojing Liu

doi:10.13832/j.jnpe.2018.02.0086

中子扩散三维非均匀变分节块法及平源加速方法研究

Translated title of the contribution: Study on Three-Dimensional Neutron Diffusion Heterogeneous Variational Nodal Method and Flat Source Acceleration Method

Tengfei Zhang
, Hongchun Wu
, Liangzhi Cao
, Yunzhao Li
, Jinbiao Xiong
, Xiaojing Liu

School of Energy and Power Engineering

Shanghai Jiao Tong University
Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

Abstract

As a foundation of three-dimensional whole-core heterogeneous transport calculation, a 3D heterogeneous variational nodal method is proposed, which employs iso-parametric finite elements within each node and piecewise constants along nodal interfaces to explicitly describe the pin-resolved heterogeneous geometry. This means full elimination of the homogenization approximation. Meanwhile, the flat source acceleration method is proposed accordingly to reduce the computational costs. Numerical results show that the method is accurate and the flat source region acceleration method can effectively decrease the memory storage and computational time without degrading the accuracy.

Translated title of the contribution	Study on Three-Dimensional Neutron Diffusion Heterogeneous Variational Nodal Method and Flat Source Acceleration Method
Original language	Chinese (Traditional)
Pages (from-to)	86-89
Number of pages	4
Journal	Hedongli Gongcheng/Nuclear Power Engineering
Volume	39
Issue number	2
DOIs	https://doi.org/10.13832/j.jnpe.2018.02.0086
State	Published - 15 Apr 2018

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title = "中子扩散三维非均匀变分节块法及平源加速方法研究",

abstract = "As a foundation of three-dimensional whole-core heterogeneous transport calculation, a 3D heterogeneous variational nodal method is proposed, which employs iso-parametric finite elements within each node and piecewise constants along nodal interfaces to explicitly describe the pin-resolved heterogeneous geometry. This means full elimination of the homogenization approximation. Meanwhile, the flat source acceleration method is proposed accordingly to reduce the computational costs. Numerical results show that the method is accurate and the flat source region acceleration method can effectively decrease the memory storage and computational time without degrading the accuracy.",

keywords = "Flat source region acceleration method, Iso-parametric finite element, Piecewise constants, Three-dimensional neutron diffusion heterogeneous variational nodal method",

author = "Tengfei Zhang and Hongchun Wu and Liangzhi Cao and Yunzhao Li and Jinbiao Xiong and Xiaojing Liu",

year = "2018",

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doi = "10.13832/j.jnpe.2018.02.0086",

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T1 - 中子扩散三维非均匀变分节块法及平源加速方法研究

AU - Zhang, Tengfei

AU - Wu, Hongchun

AU - Cao, Liangzhi

AU - Li, Yunzhao

AU - Xiong, Jinbiao

AU - Liu, Xiaojing

PY - 2018/4/15

Y1 - 2018/4/15

N2 - As a foundation of three-dimensional whole-core heterogeneous transport calculation, a 3D heterogeneous variational nodal method is proposed, which employs iso-parametric finite elements within each node and piecewise constants along nodal interfaces to explicitly describe the pin-resolved heterogeneous geometry. This means full elimination of the homogenization approximation. Meanwhile, the flat source acceleration method is proposed accordingly to reduce the computational costs. Numerical results show that the method is accurate and the flat source region acceleration method can effectively decrease the memory storage and computational time without degrading the accuracy.

AB - As a foundation of three-dimensional whole-core heterogeneous transport calculation, a 3D heterogeneous variational nodal method is proposed, which employs iso-parametric finite elements within each node and piecewise constants along nodal interfaces to explicitly describe the pin-resolved heterogeneous geometry. This means full elimination of the homogenization approximation. Meanwhile, the flat source acceleration method is proposed accordingly to reduce the computational costs. Numerical results show that the method is accurate and the flat source region acceleration method can effectively decrease the memory storage and computational time without degrading the accuracy.

KW - Flat source region acceleration method

KW - Iso-parametric finite element

KW - Piecewise constants

KW - Three-dimensional neutron diffusion heterogeneous variational nodal method

UR - https://www.scopus.com/pages/publications/85053640522

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SN - 0258-0926

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SP - 86

EP - 89

JO - Hedongli Gongcheng/Nuclear Power Engineering

JF - Hedongli Gongcheng/Nuclear Power Engineering

IS - 2

ER -

中子扩散三维非均匀变分节块法及平源加速方法研究

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