@Article{CiCP-16-632,
author = {Keiichi Kitamura, Meng-Sing Liou and Chih-Hao Chang},
title = {Extension and Comparative Study of AUSM-Family Schemes for Compressible Multiphase Flow Simulations},
journal = {Communications in Computational Physics},
year = {2014},
volume = {16},
number = {3},
pages = {632--674},
abstract = {<p style="text-align: justify;">Several recently developed AUSM-family numerical flux functions (SLAU,
SLAU2, AUSM<sup>+</sup>-up2, and AUSMPW+) have been successfully extended to compute
compressible multiphase flows, based on the stratified flow model concept, by following two previous works: one by M.-S. Liou, C.-H. Chang, L. Nguyen, and T.G.
Theofanous [AIAA J. 46:2345-2356, 2008], in which AUSM<sup>+</sup>-up was used entirely, and
the other by C.-H. Chang, and M.-S. Liou [J. Comput. Phys. 225:840-873, 2007], in
which the exact Riemann solver was combined into AUSM<sup>+</sup>-up at the phase interface. Through an extensive survey by comparing flux functions, the following are
found: (1) AUSM<sup>+</sup>-up with dissipation parameters of <em>K<sub>p</sub></em> and <em>K<sub>u</sub></em> equal to 0.5 or greater,
AUSMPW+, SLAU2, AUSM<sup>+</sup>-up2, and SLAU can be used to solve benchmark problems, including a shock/water-droplet interaction; (2) SLAU shows oscillatory behaviors [though not as catastrophic as those of AUSM<sup>+</sup> (a special case of AUSM<sup>+</sup>-up with&nbsp;<em>K<sub>p</sub></em>=<em>K<sub>u</sub></em>=0)] due to insufficient dissipation arising from its ideal-gas-based dissipation
term; and (3) when combined with the exact Riemann solver, AUSM<sup>+</sup>-up (<em>K<sub>p</sub></em>=<em>K<sub>u</sub></em>=1),
SLAU2, and AUSMPW+ are applicable to more challenging problems with high pressure ratios.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.020813.190214a},
url = {http://global-sci.org/intro/article_detail/cicp/7057.html}
}