Journal of Astronautics ›› 2014, Vol. 35 ›› Issue (7): 777-785.doi: 10.3873/j.issn.1000-1328.2014.07.006

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Numerical Simulations of Limiter Function Effects for Hypersonic Complex Viscous Flows

LI Guang ning,  XU Min   

  1. School of Astronautics, Northwestern Polytechnical University,Xi’an 710072,China
  • Received:2013-12-16 Revised:2014-03-07 Online:2014-07-15 Published:2014-07-25

Abstract:

The diffusion properties of several MUSCL type (Monotone Upstream Centred Schemes for Conservation Laws) limiters including superbee limiter, van Albada limiter and two types of minmod limiters(named minmod 1 limiter and minmod 2 limiter respectively) have been studied. The theoretical analysis is performed firstly, and the results show the minmod 2 limiter, which has been mistaken as a diffusion limiter previously, is a compression limiter with some special parameters. The inaccurate impression about the minmod 2 limiter’s property is redressed. The transonic flow about NACA0012 airfoil is computed, and the results show that the diffusion property of limiter can have great influence on the convergence property of a simulation. More less the diffusion of a limiter is, such as superbee limiter, more difficult the convergence of computation is. Numerical computations of the hypersonic complex flow about a 24 degrees of compression corner is performed and experimental data are used to validate the properties of the selected limiters for hypersonic complex flows. The computational results indicate that minmod 2 limiter is a compression limiter surely, which is consistent with the theoretical analysis. For hypersonic complex flows with strong shock waves, it is recommended to use the compressive minmod 2 limiter because of its stability and high resolution.

Key words: Computational fluid dynamics, Upwind scheme, Limiter, Hypersonic flow, Shock wave

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