High-Order Lax-Friedrichs WENO Fast Sweeping Methods for the SN Neutron Transport Equation.
Saved in:
| Title: | High-Order Lax-Friedrichs WENO Fast Sweeping Methods for the S |
|---|---|
| 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 |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 138051628 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: High-Order Lax-Friedrichs WENO Fast Sweeping Methods for the S<subscript>N</subscript> Neutron Transport Equation. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Wang%2C+Dean%22">Wang, Dean</searchLink><relatesTo>1</relatesTo><i> wang.12239@osu.edu</i><br /><searchLink fieldCode="AR" term="%22Byambaakhuu%2C+Tseelmaa%22">Byambaakhuu, Tseelmaa</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Nuclear+Science+%26+Engineering%22">Nuclear Science & Engineering</searchLink>. Sep2019, Vol. 193 Issue 9, p982-990. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Fast+sweeping+methods+%28Mathematics%29%22">Fast sweeping methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Neutron+transport+theory%22">Neutron transport theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>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.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=138051628 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/00295639.2019.1582316 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 982 Subjects: – SubjectFull: Fast sweeping methods (Mathematics) Type: general – SubjectFull: Neutron transport theory Type: general Titles: – TitleFull: High-Order Lax-Friedrichs WENO Fast Sweeping Methods for the SN Neutron Transport Equation. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Wang, Dean – PersonEntity: Name: NameFull: Byambaakhuu, Tseelmaa IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2019 Type: published Y: 2019 Identifiers: – Type: issn-print Value: 00295639 Numbering: – Type: volume Value: 193 – Type: issue Value: 9 Titles: – TitleFull: Nuclear Science & Engineering Type: main |
| ResultId | 1 |
