Method of Artificial Viscosity on Unstructured Grids

Abstract

The paper presents a general description of a new method of artificial viscosity (AAV) for solving equations of gas dynamics. In a basis of a method are put research of stability finite difference schemes and classification of discontinuous desicions of gas dynamics equations. The method was adapted for the solution of problems on cartesian and unstructured meshes. With the help of the method a lot of gas dynamics problems were analyzed numerically, for example, the supersonic flow in a channel with a step was calculated.