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/ http://psasir.upm.edu.my/id/eprint/39611/1/39611.pdf |
| Summary: | 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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