@Article{CiCP-12-1096,
author = {Angelo L. Scandaliato and Meng-Sing Liou},
title = {AUSM-Based High-Order Solution for Euler Equations},
journal = {Communications in Computational Physics},
year = {2012},
volume = {12},
number = {4},
pages = {1096--1120},
abstract = {<p style="text-align: justify;">In this paper we demonstrate the accuracy and robustness of combining the
advection upwind splitting method (AUSM), specifically AUSM<sup>+</sup>-UP [9], with high-order upwind-biased interpolation procedures, the weighted essentially non-oscillatory
(WENO-JS) scheme [8] and its variations [2, 7], and the monotonicity preserving (MP)
scheme [16], for solving the Euler equations. MP is found to be more effective than the
three WENO variations studied. AUSM<sup>+</sup>-UP is also shown to be free of the so-called &quot;carbuncle&quot; phenomenon with the high-order interpolation. The characteristic variables are preferred for interpolation after comparing the results using primitive and
conservative variables, even though they require additional matrix-vector operations.
Results using the Roe flux with an entropy fix and the Lax-Friedrichs approximate Riemann solvers are also included for comparison. In addition, four reflective boundary
condition implementations are compared for their effects on residual convergence and
solution accuracy. Finally, a measure for quantifying the efficiency of obtaining high
order solutions is proposed; the measure reveals that a maximum return is reached
after which no improvement in accuracy is possible for a given grid size.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.250311.081211a},
url = {http://global-sci.org/intro/article_detail/cicp/7326.html}
}