TY - JOUR
T1 - Designing Several Types of Oscillation-Less and High-Resolution Hybrid Schemes on Block-Structured Grids
AU - Zhenhua Jiang, Chao Yan, Jian Yu & Boxi Lin
JO - Communications in Computational Physics
VL - 5
SP - 1376
EP - 1407
PY - 2018
DA - 2018/04
SN - 21
DO - http://doi.org/10.4208/cicp.OA-2015-0028
UR - https://global-sci.org/intro/article_detail/cicp/11283.html
KW - 
AB - <p style="text-align: justify;">An idea of designing oscillation-less and high-resolution hybrid schemes is
proposed and several types of hybrid schemes based on this idea are presented on
block-structured grids. The general framework, for designing various types of hybrid
schemes, is established using a Multi-dimensional Optimal Order Detection (MOOD)
method proposed by Clain, Diot and Loubère [1]. The methodology utilizes low dissipation
or dispersion but less robust schemes to update the solution and then implements
robust and high resolution schemes to deal with problematic situations. A
wide range of computational methods including central scheme, MUSCL scheme, linear
upwind scheme and Weighted Essentially Non Oscillatory (WENO) scheme have
been applied in the current hybrid schemes framework. Detailed numerical studies
on classical test cases for the Euler system are performed, addressing the issues of the
resolution and non-oscillatory property around the discontinuities.</p>