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An analysis has been developed and a computer code written to predict three-dimensional subsonic or transonic potential flow fields about lifting or nonlifting configurations. Possible condfigurations include inlets, nacelles, nacelles with ground planes, S-ducts, turboprop nacelles, wings, and wing-pylon-nacelle combinations. The solution of the full partial differential equation for compressible potential flow written in terms of a velocity potential is obtained using finite differences, line relaxation, and multigrid. The analysis uses either a cylindrical or Cartesian coordinate system. The computational mesh is not body fitted. The analysis has been programmed in FORTRAN for both the CDC CYBER 203 and the CRAY-1 computers. Comparisons of computed results with experimental measurement are presented. Descriptions of the program input and output formats are included.
A new generation of propellers with eight to ten blades operating at transonic flight speeds is now under development. These propeller blades are typically highly swept and twisted with small aspect ratios and supersonic tip speeds. A three-dimensional finite-volume computational code that accounts for cascade effects, hub-induced flow and nonlinear transonic effects is highly desirable. An effort to develop such a code has been undertaken by the author; the results will be reported elsewhere. The present paper discusses the author's experience in mesh generation for this complex configuration. What is reported here is not new methodology but some practical considerations for a specific problem. However, the experience gained here is valuable to the developers of basic methodologies in generalizing their methods to accommodate these practical considerations, particularly for three-dimensional geometries. (Author).
This volume reviews, in the context of partial differential equations, algorithm development that has been specifically aimed at computers that exhibit some form of parallelism. Emphasis is on the solution of PDEs because these are typically the problems that generate high computational demands. The authors discuss architectural features of these computers insomuch as they influence algorithm performance, and provide insight into algorithm characteristics that allow effective use of hardware.