HYBRID DETERMINISTIC/MONTE CARLO NEUTRONICS

被引：11

作者：

Willert, Jeffrey ^{[1
]}

Kelley, C. T. ^{[1
]}

Knoll, D. A. ^{[2
]}

Park, H. ^{[2
]}

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

[2] Los Alamos Natl Lab, Div Theoret, MS B216, Los Alamos, NM 87545 USA

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2013年 / 35卷 / 05期

基金：

美国国家科学基金会;

关键词：

JFNK methods; neutron transport; Monte Carlo simulation; hybrid methods; DIFFUSION SYNTHETIC ACCELERATION; NONLINEAR ELIMINATION; KRYLOV METHODS; TRANSPORT; EQUATIONS; SYSTEMS;

D O I：

10.1137/120880021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we describe a hybrid deterministic/Monte Carlo algorithm for neutron transport simulation. The algorithm is based on nonlinear accelerators for source iteration, using Monte Carlo methods for the purely absorbing high-order problem and a Jacobian-free Newton-Krylov iteration for the low-order problem. We couple the Monte Carlo solution with the low-order problem using filtering to smooth the flux and current from the Monte Carlo solver and an analytic Jacobian-vector product to avoid numerical differentiation of the Monte Carlo results. We use a continuous energy deposition tally for the Monte Carlo simulation. We conclude the paper with numerical results which illustrate the effectiveness of the new algorithm.

引用

页码：S62 / S83

页数：22

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