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An ausm-based third-order compact scheme for solving Euler Equations

Mohamad, Mahmod Abd Hakim and Basri, S. and Abd. Rahim, I. and Mohamad, M. An ausm-based third-order compact scheme for solving Euler Equations. In: FEIIC Seminar on Engineering and Technology 2006, 4-5 September 2006 , Putrajaya.

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Abstract

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.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Third-Order Compact Upwind Scheme; AUSM scheme; KFVS scheme
Subjects: T Technology > T Technology (General)
Depositing User: Normajihan Abd. Rahman
Date Deposited: 28 Aug 2012 08:38
Last Modified: 28 Aug 2012 08:38
URI: http://eprints.uthm.edu.my/id/eprint/2733
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