TY - JOUR
T1 - High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow
AU - Cai , Jiahong
AU - Wang , Shengye
AU - Liu , Wei
JO - Communications in Computational Physics
VL - 2
SP - 395
EP - 426
PY - 2024
DA - 2024/03
SN - 35
DO - http://doi.org/10.4208/cicp.OA-2023-0164
UR - https://global-sci.org/intro/article_detail/cicp/22945.html
KW - Weighted compact nonlinear scheme, high-order, shock-capturing, compressible turbulence.
AB - <p style="text-align: justify;">In the numerical simulation of compressible turbulence involving shock
waves, accurately capturing the intricate vortex structures and robustly computing
the shock wave are imperative. Employing a high-order scheme with adaptive dissipation characteristics proves to be an efficient approach in distinguishing small-scale
vortex structures with precision while capturing discontinuities. However, differentiating between small-scale vortex structures and discontinuities during calculations has
been a key challenge. This paper introduces a high-order adaptive dissipation central-upwind weighted compact nonlinear scheme based on vortex recognition (named as
WCNS-CU-Ω), that is capable of physically distinguishing shock waves and small-scale vortex structures in the high wave number region by identifying vortices within
the flow field, thereby enabling adaptive control of numerical dissipation for interpolation schemes. A variety of cases involving Euler, N-S even RANS equations are tested
to verify the performance of the WCNS-CU-Ω scheme. It was found that this new
scheme exhibits excellent small-scale resolution and robustness in capturing shock
waves. As a result, it can be applied more broadly to numerical simulations of compressible turbulence.</p>