Short and Independent Characteristic Methods for Discrete Ordinates Radiation Transport with 2D and 3D Regular Cartesian Meshes

Suriano, Mark A.

ISBN 10: 1249839807 / ISBN 13: 9781249839804

Published by BiblioScholar 2012-10, 2012

About this Item

Seller Inventory # 6666-IUK-9781249839804

Bibliographic Details

• Title: Short and Independent Characteristic Methods for Discrete Ordinates Radiation Transport with 2D and 3D Regular Cartesian Meshes
• Publisher: BiblioScholar 2012-10
• Publication Date: 2012
• Language: English
• ISBN 10: 1249839807
• ISBN 13: 9781249839804
• Binding: PF
• Condition: New

About this title

Synopsis

Accurate, reliable, and robust discrete neutral particle radiation transport codes are needed in order to perform realistic 3D engineering calculations. Current neutron transport codes use low order spatial quadratures that are inaccurate unless a highly refined spatial mesh is used. In this work various higher order characteristic spatial quadratures are derived, implemented, and tested. Regular meshes of rectangular (2D) and of rectangular parallelepiped (boxoid) cells are supported. Short characteristic (linear characteristic [LC] and exponential characteristic [EC]) methods are compared with the corresponding independent characteristic (ILC and IEC) methods. The latter readily provide for plane-parallel implementation. All transport results were benchmarked against Monte Carlo calculations. The diamond difference (DD) method was also tested and compared to the characteristic spatial quadratures. IEC and EC were found to be robust, reliable, and accurate for thin, intermediate, and optically thick cells. LC was robust, reliable, and accurate for cells of thin to intermediate (approximately 2 mean free paths) optical thickness. ILC was not pursued in 3D due to its anticipated excessive computational cost. DD was unreliable (as expected) over the range of test problems. We conclude that IEC and EC are apt methods for a wide range of problems, and provide the ability to perform realistic engineering calculations on coarse cells given nonnegative group-to-group, ordinate-to-ordinate cross section data.