Waverider Design for Generalized Shock Geometries

A new method for the design of waverider con-gurations with generalized shock geometries is presented. An arbitrary three-dimensional shock shape is speciied as input, and a cross-stream Euler marching procedure is used to deene the post-shock ow-eld. Unlike most previous studies, this approach allows for the use of nonaxisymmetric shock topologies with nonconstant shock strengths. The problem's fundamental ill-posedness is suppressed by reformulating the problem in the proper curvilinear coordinate system. Details of the new design approach are given, and the method is validated using comparisons with exact theory and direct numerical simulations. Nomenclature a=b = ratio of vert. and horiz. axis of ellipse L=D = lift over drag M 1 = freestream Mach number OP = osculating plane p = pressure T = temperature u; v; w = vel. components in Cartesian coords. U; V; W = vel. components in generalized coords. x; y; z = Cartesian coordinates = local shock angle = displacement thickness = ratio of speciic heats = density w = two-dimensional wedge angle = streamwise computational coordinate = circumferential computational coord. = radial computational coordinate