@Article{CiCP-25-189,
author = {Luoqin Liu, Jianchun Wang, Yipeng Shi, Shiyi Chen and X. T. He},
title = {A Hybrid Numerical Simulation of Supersonic Isotropic Turbulence},
journal = {Communications in Computational Physics},
year = {2018},
volume = {25},
number = {1},
pages = {189--217},
abstract = {<p style="text-align: justify;">This paper presents an extension work of the hybrid scheme proposed by
Wang et al. [J. Comput. Phys. <strong>229</strong>&nbsp;(2010) 169-180] for numerical simulation of subsonic
isotropic turbulence to supersonic turbulence regime. The scheme still utilizes
an 8th-order compact scheme with built-in hyperviscosity for smooth regions and a
7th-order WENO scheme for highly compression regions, but now both in their conservation
formulations and for the latter with the Roe type characteristic-wise reconstruction.
To enhance the robustness of the WENO scheme without compromising
its high-resolution and accuracy, the recursive-order-reduction procedure is adopted,
where a new type of reconstruction-failure-detection criterion is constructed from the
idea of positivity-preserving. In addition, a new form of cooling function is proposed,
which is proved also to be positivity-preserving. With a combination of these techniques,
the new scheme not only inherits the good properties of the original one but
also extends largely the computable range of turbulent Mach number, which has been
further confirmed by numerical results.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0050},
url = {http://global-sci.org/intro/article_detail/cicp/12668.html}
}