AN ITERATIVE RIEMANN SOLVER FOR RELATIVISTIC HYDRODYNAMICS.
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| Title: | AN ITERATIVE RIEMANN SOLVER FOR RELATIVISTIC HYDRODYNAMICS. |
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| Authors: | Wenlong Dai1 wenlong@lcse.umn.edu, Woodward, Paul R.2 paul@lcse.umn.edu |
| Source: | SIAM Journal on Scientific Computing. 1997, Vol. 18 Issue 4, p982-995. 14p. |
| Subjects: | Riemann-Hilbert problems, Riemann-Roch theorems, Hydrodynamics, Mathematics, Water waves, Stochastic convergence |
| Abstract: | An approximate method for solving the Riemann problem is needed to construct Godunov schemes for relativistic hydrodynamical equations. Such an approximate Riemann solver is presented in this paper which treats all waves emanating from an initial discontinuity as themselves discontinuous. Therefore, jump conditions for shocks are approximately used for rarefaction waves. The solver is easy to implement in a Godunov scheme and converges rapidly for relativistic hydrodynamics. The fast convergence of the solver indicates the potential of a higher performance of a Godunov scheme in which the solver is used. [ABSTRACT FROM AUTHOR] |
| Copyright of SIAM Journal on Scientific Computing is the property of Society for Industrial & Applied Mathematics 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 13216928 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: AN ITERATIVE RIEMANN SOLVER FOR RELATIVISTIC HYDRODYNAMICS. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Wenlong+Dai%22">Wenlong Dai</searchLink><relatesTo>1</relatesTo><i> wenlong@lcse.umn.edu</i><br /><searchLink fieldCode="AR" term="%22Woodward%2C+Paul+R%2E%22">Woodward, Paul R.</searchLink><relatesTo>2</relatesTo><i> paul@lcse.umn.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22SIAM+Journal+on+Scientific+Computing%22">SIAM Journal on Scientific Computing</searchLink>. 1997, Vol. 18 Issue 4, p982-995. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Riemann-Hilbert+problems%22">Riemann-Hilbert problems</searchLink><br /><searchLink fieldCode="DE" term="%22Riemann-Roch+theorems%22">Riemann-Roch theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Hydrodynamics%22">Hydrodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Water+waves%22">Water waves</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+convergence%22">Stochastic convergence</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: An approximate method for solving the Riemann problem is needed to construct Godunov schemes for relativistic hydrodynamical equations. Such an approximate Riemann solver is presented in this paper which treats all waves emanating from an initial discontinuity as themselves discontinuous. Therefore, jump conditions for shocks are approximately used for rarefaction waves. The solver is easy to implement in a Godunov scheme and converges rapidly for relativistic hydrodynamics. The fast convergence of the solver indicates the potential of a higher performance of a Godunov scheme in which the solver is used. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of SIAM Journal on Scientific Computing is the property of Society for Industrial & Applied Mathematics 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=13216928 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1137/S1064827595282234 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 982 Subjects: – SubjectFull: Riemann-Hilbert problems Type: general – SubjectFull: Riemann-Roch theorems Type: general – SubjectFull: Hydrodynamics Type: general – SubjectFull: Mathematics Type: general – SubjectFull: Water waves Type: general – SubjectFull: Stochastic convergence Type: general Titles: – TitleFull: AN ITERATIVE RIEMANN SOLVER FOR RELATIVISTIC HYDRODYNAMICS. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Wenlong Dai – PersonEntity: Name: NameFull: Woodward, Paul R. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: 1997 Type: published Y: 1997 Identifiers: – Type: issn-print Value: 10648275 Numbering: – Type: volume Value: 18 – Type: issue Value: 4 Titles: – TitleFull: SIAM Journal on Scientific Computing Type: main |
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