Higher accuracy scheme based on edge-oriented quasi-1В reconstruction of variables for solving aerodynamics and aeroacoustics problems on unstructured meshes

The paper presents a description in details of EBR scheme for solving aerodynamics and aeroacoustics problems on unstructured triangular and tetrahedral meshes. The EBR scheme is vertex-centered and thereby presupposes the construction of control volumes. Its higher accuracy is provided at the expense of edge-based quasi-1D reconstruction of variables used for the calculation of numerical fluxes through the cell faces. The results of analytical study of EBR scheme accuracy for “Cartesian” meshes and experimental study by solving the test problem on propagation of acoustic Gaussian pulse on meshes of different quality are given.