A curved boundary treatment for discontinuous Galerkin method applied to Euler equations on triangular and tetrahedral grids (Q6040998)

The authors are concerned with an efficient discontinuous Galerkin (DG) method in order to solve a boundary value problem for the Euler system in some 2D and 3D complex domains. The idea behind the new DG method is to avoid the integrals over any curvilinear element as well as the face integration along the curved face boundary. This is accomplished based on some projection techniques. The method relies on high-order polynomial basis functions. Two 2D flows with exact solutions and two subsonic flows, one through a channel with a smooth bump and another past a sphere, are carried out. They highlight the accuracy and convergence properties of the introduced method.