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An AUSM-based third-order compact scheme for solving Euler equations


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).


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.

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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Engineering
Publisher: Federation of Engineering Institutions of Islamic Countries
Keywords: Third-order compact upwind scheme; AUSM scheme; KFVS scheme
Depositing User: Erni Suraya Abdul Aziz
Date Deposited: 21 Aug 2015 02:04
Last Modified: 21 Aug 2015 02:04
URI: http://psasir.upm.edu.my/id/eprint/39611
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