Bibliographic Details
| Title: |
High-Order Lax-Friedrichs WENO Fast Sweeping Methods for the SN Neutron Transport Equation. |
| Authors: |
Wang, Dean1 wang.12239@osu.edu, Byambaakhuu, Tseelmaa1 |
| Source: |
Nuclear Science & Engineering. Sep2019, Vol. 193 Issue 9, p982-990. 9p. |
| Subjects: |
Fast sweeping methods (Mathematics), Neutron transport theory |
| Abstract: |
Fast sweeping methods are efficient iterative techniques originally developed to solve the steady-state Hamilton-Jacobi equations and later used for the hyperbolic conservation laws. For these boundary value problems, their solution information propagates along characteristics starting from the boundary. These fast sweeping methods take advantage of this property and achieve very fast convergence based on a Gauss-Seidel–type iteration approach and alternating-direction sweeping strategy. In this paper, we solve the SN neutron transport equation using the high-order Lax-Friedrichs Weighted Essentially Non-Oscillatory (LF-WENO) fast sweeping methods. Our numerical tests in one and two dimensions demonstrate that the proposed new sweeping methods can achieve better accuracy and positivity preserving than the diamond difference method for the SN solution. [ABSTRACT FROM AUTHOR] |
|
Copyright of Nuclear Science & Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Engineering Source |
