Basic function scheme of polynomial type.
Saved in:
| Title: | Basic function scheme of polynomial type. |
|---|---|
| Authors: | Wang-yi Wu1 wuwy@pku.edu.cn, Guang Lin1 |
| Source: | Applied Mathematics & Mechanics. Sep2009, Vol. 30 Issue 9, p1091-1103. 13p. 3 Diagrams, 2 Charts, 9 Graphs. |
| Subjects: | Random polynomials, Operator theory, Differential equations, Differential operators, Shock waves |
| Abstract: | A new numerical method named as basic function method is proposed. It can directly discretize differential operators on unstructured grids. By expanding the basic function to approach the exact function, the central and upwind schemes of derivative are constructed. By using the second-order polynomial as a basic function and applying the flux splitting method and the combination of central and upwind schemes to suppress non-physical fluctuation near shock waves, a second-order basic function scheme of polynomial type is proposed to solve inviscid compressible flows numerically. Numerical results of typical examples for two-dimensional inviscid compressible transonic and supersonic steady flows indicate that the new scheme has high accuracy and high resolution for shock waves. Combined with the adaptive remeshing technique, satisfactory results can be obtained. [ABSTRACT FROM AUTHOR] |
| Copyright of Applied Mathematics & Mechanics is the property of Springer Nature 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 | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 44217695 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Basic function scheme of polynomial type. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Wang-yi+Wu%22">Wang-yi Wu</searchLink><relatesTo>1</relatesTo><i> wuwy@pku.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Guang+Lin%22">Guang Lin</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+%26+Mechanics%22">Applied Mathematics & Mechanics</searchLink>. Sep2009, Vol. 30 Issue 9, p1091-1103. 13p. 3 Diagrams, 2 Charts, 9 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Random+polynomials%22">Random polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+theory%22">Operator theory</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%22">Differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+operators%22">Differential operators</searchLink><br /><searchLink fieldCode="DE" term="%22Shock+waves%22">Shock waves</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A new numerical method named as basic function method is proposed. It can directly discretize differential operators on unstructured grids. By expanding the basic function to approach the exact function, the central and upwind schemes of derivative are constructed. By using the second-order polynomial as a basic function and applying the flux splitting method and the combination of central and upwind schemes to suppress non-physical fluctuation near shock waves, a second-order basic function scheme of polynomial type is proposed to solve inviscid compressible flows numerically. Numerical results of typical examples for two-dimensional inviscid compressible transonic and supersonic steady flows indicate that the new scheme has high accuracy and high resolution for shock waves. Combined with the adaptive remeshing technique, satisfactory results can be obtained. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Applied Mathematics & Mechanics is the property of Springer Nature 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=44217695 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10483-009-0903-y Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 1091 Subjects: – SubjectFull: Random polynomials Type: general – SubjectFull: Operator theory Type: general – SubjectFull: Differential equations Type: general – SubjectFull: Differential operators Type: general – SubjectFull: Shock waves Type: general Titles: – TitleFull: Basic function scheme of polynomial type. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Wang-yi Wu – PersonEntity: Name: NameFull: Guang Lin IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2009 Type: published Y: 2009 Identifiers: – Type: issn-print Value: 02534827 Numbering: – Type: volume Value: 30 – Type: issue Value: 9 Titles: – TitleFull: Applied Mathematics & Mechanics Type: main |
| ResultId | 1 |
