Aerodynamics simulations of three-dimensional inviscid flow using curvilinear discontinuous Galerkin method on unstructured meshes

Over the last decades, discontinuous Galerkin (DG) method has demonstrated its excellence in accurate, higher-order numerical simulations for a wide range of applications aerodynamics simulations. However, development practical, computationally accurate flow solvers industrial is still focus active research, and applicable boundary conditions fluxes are also very important parts. Based on curvilinear DG method, we have developed solver that can be used solving three-dimensional subsonic, transonic hypersonic inviscid flows unstructured meshes. The covers geometrical transformation from real curved element to rectilinear reference with hierarchical basis functions their gradient operation coordinates up full third order. implementation solid wall derived by contravariant velocities, an enhanced algorithms Harten-Lax-van Leer contact (HLLC) flux based suggested. These new techniques do not require complex geometric information easy implement. simulation shows linear treatment limit accuracy at high order demonstrates how involving overcomes this restriction. In addition, such stable reasonably coarse meshes finer ones, good robustness various geometries velocities. For engineering practice, reasonable obtained