边界元法解二维跨音速流

BOUNDARY ELEMENT METHOD IN TWO-DIMENSIONAL TRANSONIC FLOW

This paper discusses the solution of problems involving 2D transonic flow by the method of boundary elements. The continuity equation in the compressible flow is translated into an integral equation by the vector Green formula. On the basis of an assumption of vorticity distribution in the interior of boundary layer, the relation between the tangential velocity and the strength of the vortex on the boundary surface is derived. Knowing the strength of the vortex, then the velocity, density and pressure can be obtained.