Citation
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).
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.
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