Abstract: A review of two methods for the design of waverider configurations with more general shock geometries is presented. In the first method the osculating cones approach is used to rapidly determine waveriders for constant strength shocks assuming a piecewise conical flowfield, solving the Taylor-Maccoll equation to define the post-shock flowfield. In the second method, a shock with varying curvature and strength is specified, and a cross-stream marching scheme is used to compute the post-shock flowfield by solving the Euler equations. The three-dimensional cross-stream marching problem is ill-posed, but stability is achieved through the proper choice of marching directions. Unlike most previous studies, both of these methods allow for the use of non-axisymmetric shock topologies. Several waveriders, and the flowfields about them, generated by these new methods instantaneously on desktop computers are compared to the flowfields computed using a conventional three-dimensional Euler solver, requiring the construction of a computational grid and about an hour of supercomputer time.

Download a complete copy of the paper in PostScript (compressed) (2.9MB) format or PDF (2.3MB) format.