TY - JOUR
T1 - A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow
AU - He , Xiaofeng
AU - Wang , Kun
AU - Feng , Yiwei
AU - Liu , Tiegang
AU - Wang , Xiaojun
JO - Communications in Computational Physics
VL - 4
SP - 1134
EP - 1161
PY - 2022
DA - 2022/03
SN - 31
DO - http://doi.org/10.4208/cicp.OA-2021-0098
UR - https://global-sci.org/intro/article_detail/cicp/20379.html
KW - Direct discontinuous Galerkin, transonic/supersonic flow, residual-based artificial viscosity.
AB - <p style="text-align: justify;">In this work, a direct discontinuous Galerkin (DDG) method with artificial
viscosity is developed to solve the compressible Navier-Stokes equations for simulating the transonic or supersonic flow, where the DDG approach is used to discretize
viscous and heat fluxes. A strong residual-based artificial viscosity (AV) technique is
proposed to be applied in the DDG framework to handle shock waves and layer structures appearing in transonic or supersonic flow, which promotes convergence and robustness. Moreover, the AV term is added to classical BR2 methods for comparison.
A number of 2-D and 3-D benchmarks such as airfoils, wings, and a full aircraft are
presented to assess the performance of the DDG framework with the strong residual-based AV term for solving the two dimensional and three dimensional Navier-Stokes
equations. The proposed framework provides an alternative robust and efficient approach for numerically simulating the multi-dimensional compressible Navier-Stokes
equations for transonic or supersonic flow.</p>