Flux limiting with high-order compact schemes
In this paper, we present a modified flux limiter for limiting the numerical flux differences obtained from a fifth-order upwind compact scheme. The accuracy of the scheme is tested through the solution of the scalar 1D inviscid Burgers equation. The method is then used for solving the 2D Euler equa...
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2023
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| author | Mawlood M.K. Basri S. Mokhtar A.S. Ahmad M.M.H.M. Asrar W. Omar A.A. |
| author2 | 6507670187 |
| author_facet | 6507670187 Mawlood M.K. Basri S. Mokhtar A.S. Ahmad M.M.H.M. Asrar W. Omar A.A. |
| author_sort | Mawlood M.K. |
| building | UNITEN Library |
| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | In this paper, we present a modified flux limiter for limiting the numerical flux differences obtained from a fifth-order upwind compact scheme. The accuracy of the scheme is tested through the solution of the scalar 1D inviscid Burgers equation. The method is then used for solving the 2D Euler equations for flows containing shocks. For unsteady problems, a multistage SSP Runge-Kutta method is employed for the time integration. For two-dimensional steady-state solutions, first-order implicit time integration, with LU decomposition, is employed. Results have shown that the developed flux limiter significantly eliminates the numerical oscillations. Copyright � 2005 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. |
| format | Conference paper |
| id | my.uniten.dspace-29911 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2023 |
| record_format | dspace |
| spelling | my.uniten.dspace-299112023-12-28T16:58:12Z Flux limiting with high-order compact schemes Mawlood M.K. Basri S. Mokhtar A.S. Ahmad M.M.H.M. Asrar W. Omar A.A. 6507670187 6603349880 56186284800 7402896178 6603244837 7202864035 Integration Oscillations Problem solving Runge Kutta methods Steady flow Unsteady flow Burgers equation Compact schemes Numerical flux Steady-state solutions Flow of fluids In this paper, we present a modified flux limiter for limiting the numerical flux differences obtained from a fifth-order upwind compact scheme. The accuracy of the scheme is tested through the solution of the scalar 1D inviscid Burgers equation. The method is then used for solving the 2D Euler equations for flows containing shocks. For unsteady problems, a multistage SSP Runge-Kutta method is employed for the time integration. For two-dimensional steady-state solutions, first-order implicit time integration, with LU decomposition, is employed. Results have shown that the developed flux limiter significantly eliminates the numerical oscillations. Copyright � 2005 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. Final 2023-12-28T08:58:12Z 2023-12-28T08:58:12Z 2005 Conference paper 2-s2.0-30744470647 https://www.scopus.com/inward/record.uri?eid=2-s2.0-30744470647&partnerID=40&md5=5abba86369344b166d29e7f104b77033 https://irepository.uniten.edu.my/handle/123456789/29911 7637 7645 Scopus |
| spellingShingle | Integration Oscillations Problem solving Runge Kutta methods Steady flow Unsteady flow Burgers equation Compact schemes Numerical flux Steady-state solutions Flow of fluids Mawlood M.K. Basri S. Mokhtar A.S. Ahmad M.M.H.M. Asrar W. Omar A.A. Flux limiting with high-order compact schemes |
| title | Flux limiting with high-order compact schemes |
| title_full | Flux limiting with high-order compact schemes |
| title_fullStr | Flux limiting with high-order compact schemes |
| title_full_unstemmed | Flux limiting with high-order compact schemes |
| title_short | Flux limiting with high-order compact schemes |
| title_sort | flux limiting with high-order compact schemes |
| topic | Integration Oscillations Problem solving Runge Kutta methods Steady flow Unsteady flow Burgers equation Compact schemes Numerical flux Steady-state solutions Flow of fluids |
| url_provider | http://dspace.uniten.edu.my/ |