A CELL-VERTEX UPWIND SCHEME FOR 2-DIMENSIONAL SUPERSONIC EULER-FLOWS

An implicit cell-vertex upwind method is presented for the solution of the two-dimensional Euler equations for supersonic flows. It is based on the two-point difference scheme introduced by S.F. Wornom, but con tains many significant developments. Particular attention is given to the implementation of boundary conditions, to ensure that no ''numeric al'' boundary conditions are required, and ''image'' cells are avoided , making the scheme ideal for use in conjunction with a multiblock app roach. Examples are given for quasi-one-dimensional nozzle flows, and in two dimensions, oblique shock reflection, a shock interaction probl em, and a supersonic intake problem. The accuracy and efficiency of th e scheme is demonstrated, along with its ease of use.