High-order mixed weighted compact and non-compact scheme for shock and small length scale interaction
نویسندگان
چکیده
منابع مشابه
High-order mixed weighted compact and non-compact scheme for shock/discontinuity and small length scale interaction
It is critical for numerical scheme to obtain numerical results as accurate as possible with limited computational resources. Turbulent processes are very sensitive to numerical dissipation, which may dissipate the small length scales. On the other hand, dealing with shock waves, capturing and reproducing of the discontinuity may lead to non-physical oscillations for non-dissipative schemes. In...
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[Abstract] In this paper, we introduce a new type of high order shock capturing schemes – uniform weighted compact and non-compact scheme (UWCNC) or simply XJL scheme developed by Xie, Jiang and Liu. This new scheme is based on the feature of discrete data sets instead of the physics. The fundamental task of CFD is to provide an accurate approximation of derivatives for a given discrete data se...
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The critical problem of CFD is perhaps an accurate approximation of derivatives for a given discrete data set. Based on our previous work on the weighted compact scheme (WCS), a modified weighted compact scheme (MWCS) has been developed. Similar to WENO, three high order candidates, left, right, and central, are constructed by Hermite polynomials. According to the smoothness, three weights are ...
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It is critical for a numerical scheme to obtain numerical results as accurate as possible with limited computational resources. Turbulent processes are very sensitive to numerical dissipation, which may dissipate the small length scales. On the other hand, dealing with shock waves, capturing and reproducing of the discontinuity may lead to non-physical oscillations for non-dissipative schemes. ...
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In this paper, we applied modified weighted compact scheme developed by Liu et al (2008) for 1-D shock wave and 2-D incident shock boundary layer interaction. The basic idea is that because the weighted compact scheme (WCS), developed by Jiang et al (2001), does not have enough dissipation for shocks, we add a percentage of WENO dissipation to modify WCS and call the new scheme as modified weig...
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ژورنال
عنوان ژورنال: International Journal of Computer Mathematics
سال: 2013
ISSN: 0020-7160,1029-0265
DOI: 10.1080/00207160.2012.718336