An AUSM-based third-order compact scheme for solving Euler equations
In this paper, a third-order compact upwind scheme is given for calculating flows containing discontinuities. The scheme utilizes the AUSM flux splitting method and a third-order compact upwind space discretization relation for calculating third-order numerical flux function. TVD shock capturing p...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
Federation of Engineering Institutions of Islamic Countries
2006
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| Online Access: | http://psasir.upm.edu.my/id/eprint/39611/1/39611.pdf |
| _version_ | 1796973572643618816 |
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| author | Mohamad, Mahmod Abd Hakim Basri, ShahNor Abd. Rahim, Irfan Mohamad, Musli |
| author_facet | Mohamad, Mahmod Abd Hakim Basri, ShahNor Abd. Rahim, Irfan Mohamad, Musli |
| author_sort | Mohamad, Mahmod Abd Hakim |
| collection | UPM |
| description | In this paper, a third-order compact upwind scheme is given for calculating flows containing discontinuities.
The scheme utilizes the AUSM flux splitting method and a third-order compact upwind space discretization
relation for calculating third-order numerical flux function. TVD shock capturing properties of the scheme are
achieved through a minmod flux limiter. A multistage TVD Runge-Kutta method is employed for the time
integration. Computations are performed for two typical one-dimensional problems containing shocks, namely,
the steady flow in a divergent nozzle and the unsteady shock tube problem. First-order and third-order
numerical results are presented in comparison with the exact solutions. Computed results with KFVS method
are also presented. |
| first_indexed | 2024-03-06T08:44:38Z |
| format | Conference or Workshop Item |
| id | upm.eprints-39611 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:44:38Z |
| publishDate | 2006 |
| publisher | Federation of Engineering Institutions of Islamic Countries |
| record_format | dspace |
| spelling | upm.eprints-396112015-08-21T02:04:23Z http://psasir.upm.edu.my/id/eprint/39611/ An AUSM-based third-order compact scheme for solving Euler equations Mohamad, Mahmod Abd Hakim Basri, ShahNor Abd. Rahim, Irfan Mohamad, Musli In this paper, a third-order compact upwind scheme is given for calculating flows containing discontinuities. The scheme utilizes the AUSM flux splitting method and a third-order compact upwind space discretization relation for calculating third-order numerical flux function. TVD shock capturing properties of the scheme are achieved through a minmod flux limiter. A multistage TVD Runge-Kutta method is employed for the time integration. Computations are performed for two typical one-dimensional problems containing shocks, namely, the steady flow in a divergent nozzle and the unsteady shock tube problem. First-order and third-order numerical results are presented in comparison with the exact solutions. Computed results with KFVS method are also presented. Federation of Engineering Institutions of Islamic Countries 2006 Conference or Workshop Item NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/39611/1/39611.pdf Mohamad, Mahmod Abd Hakim and Basri, ShahNor and Abd. Rahim, Irfan and Mohamad, Musli (2006) An AUSM-based third-order compact scheme for solving Euler equations. In: Seminar on Engineering and Technology (SET2006) , 4-5 Sept. 2006, Putrajaya, Malaysia. (pp. 229-240). |
| spellingShingle | Mohamad, Mahmod Abd Hakim Basri, ShahNor Abd. Rahim, Irfan Mohamad, Musli An AUSM-based third-order compact scheme for solving Euler equations |
| title | An AUSM-based third-order compact scheme for solving Euler equations |
| title_full | An AUSM-based third-order compact scheme for solving Euler equations |
| title_fullStr | An AUSM-based third-order compact scheme for solving Euler equations |
| title_full_unstemmed | An AUSM-based third-order compact scheme for solving Euler equations |
| title_short | An AUSM-based third-order compact scheme for solving Euler equations |
| title_sort | ausm based third order compact scheme for solving euler equations |
| url | http://psasir.upm.edu.my/id/eprint/39611/1/39611.pdf |
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