Evaluating the Capability of the Flux-Limiter Schemes in Capturing Strong Shocks and Discontinuities
A numerical study is conducted to investigate the capability of the flux-limiter TVD schemes in capturing sharp discontinuities like shock waves. For this purpose, four classical test problems are considered such as slowly moving shock, gas Riemann problem with high density and pressure ratios, shoc...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2012-0744 |
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| _version_ | 1849405728339525632 |
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| author | Iman Harimi Ahmad Reza Pishevar |
| author_facet | Iman Harimi Ahmad Reza Pishevar |
| author_sort | Iman Harimi |
| collection | DOAJ |
| description | A numerical study is conducted to investigate the capability of the flux-limiter TVD schemes in capturing sharp discontinuities like shock waves. For this purpose, four classical test problems are considered such as slowly moving shock, gas Riemann problem with high density and pressure ratios, shock wave interaction with a density disturbance and shock-acoustic interaction. The governing equations consist of one-dimensional and quasi-one-dimensional Euler equations solved using an in-house numerical code. In order to validate the solution, the obtained results are compared with other results found in the literature. |
| format | Article |
| id | doaj-art-49993e1af4294e95b5b6860d069166c3 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-49993e1af4294e95b5b6860d069166c32025-08-20T03:36:35ZengWileyShock and Vibration1070-96221875-92032013-01-0120228729610.3233/SAV-2012-0744Evaluating the Capability of the Flux-Limiter Schemes in Capturing Strong Shocks and DiscontinuitiesIman Harimi0Ahmad Reza Pishevar1Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, IranDepartment of Mechanical Engineering, Isfahan University of Technology, Isfahan, IranA numerical study is conducted to investigate the capability of the flux-limiter TVD schemes in capturing sharp discontinuities like shock waves. For this purpose, four classical test problems are considered such as slowly moving shock, gas Riemann problem with high density and pressure ratios, shock wave interaction with a density disturbance and shock-acoustic interaction. The governing equations consist of one-dimensional and quasi-one-dimensional Euler equations solved using an in-house numerical code. In order to validate the solution, the obtained results are compared with other results found in the literature.http://dx.doi.org/10.3233/SAV-2012-0744 |
| spellingShingle | Iman Harimi Ahmad Reza Pishevar Evaluating the Capability of the Flux-Limiter Schemes in Capturing Strong Shocks and Discontinuities Shock and Vibration |
| title | Evaluating the Capability of the Flux-Limiter Schemes in Capturing Strong Shocks and Discontinuities |
| title_full | Evaluating the Capability of the Flux-Limiter Schemes in Capturing Strong Shocks and Discontinuities |
| title_fullStr | Evaluating the Capability of the Flux-Limiter Schemes in Capturing Strong Shocks and Discontinuities |
| title_full_unstemmed | Evaluating the Capability of the Flux-Limiter Schemes in Capturing Strong Shocks and Discontinuities |
| title_short | Evaluating the Capability of the Flux-Limiter Schemes in Capturing Strong Shocks and Discontinuities |
| title_sort | evaluating the capability of the flux limiter schemes in capturing strong shocks and discontinuities |
| url | http://dx.doi.org/10.3233/SAV-2012-0744 |
| work_keys_str_mv | AT imanharimi evaluatingthecapabilityofthefluxlimiterschemesincapturingstrongshocksanddiscontinuities AT ahmadrezapishevar evaluatingthecapabilityofthefluxlimiterschemesincapturingstrongshocksanddiscontinuities |