A model for calculation of forward isotropic scattering with application to transport equation in slab geometry

Author:

Yaşa F.1,Anli F.1

Affiliation:

1. KSÜ Fen-Edebiyat, Fakültesi Fizik BölümüK. Maras, Turkey

Abstract

Abstract In order to develop a general procedure, the scattering kernel is described in a consistent manner. By using this scattering kernel, eigenvalues and eigenfunctions and critical slab thicknesses are computed with a conventional spherical harmonics method (PN). The basis of this method relates to the generating function of Legendre polynomials. This article has improved analytical methods and numerical values. Numerical results indicate that the critical thickness varies with forward isotropic scattering. Results are discussed and compared with isotropic and anisotropic results using various methods available in the literature. Eigenvalues and critical thicknesses are calculated using the new phase function instead of conventional expansions.

Publisher

Walter de Gruyter GmbH

Subject

Safety, Risk, Reliability and Quality,General Materials Science,Nuclear Energy and Engineering,Nuclear and High Energy Physics,Radiation

Reference18 articles.

1. Asymptotic exact boundary conditions for the PN equations;Nuclear Science and Engineering,1993

2. On an alternative way to treat highly anisotropic scattering;Ann. Nucl. Energy,1997

3. On equiconvergence of ultraspherical polynomials solution of one-speed neutron transport equation;Ann. Nucl. Energy,2007

4. The critical slab with the backward–forward–isotropic scattering model;Ann. Nucl. Energy,1985

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3