@Article{CiCP-8-5,
author = {},
title = {A Hybrid Numerical Method to Cure Numerical Shock Instability},
journal = {Communications in Computational Physics},
year = {2010},
volume = {8},
number = {5},
pages = {1264--1271},
abstract = {<p style="text-align: justify;">In this note, we propose a new method to cure numerical shock instability
by hybriding different numerical fluxes in the two-dimensional Euler equations. The
idea of this method is to combine a &quot;full-wave&quot; Riemann solver and a &quot;less-wave&quot; Riemann
solver, which uses a special modified weight based on the difference in velocity
vectors. It is also found that such blending does not need to be implemented in all
equations of the Euler system. We point out that the proposed method is easily extended
to other &quot;full-wave&quot; fluxes that suffer from shock instability. Some benchmark
problems are presented to validate the proposed method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.041009.270410a},
url = {https://global-sci.com/article/81071/a-hybrid-numerical-method-to-cure-numerical-shock-instability}
}