MULTI-SURFACE METHOD OF COORDINATE GENERATION

A fast, direct, multidimensional method of coordinate generation has been developed to match boundaries with coordinate surfaces and to control the manner in which other coordinate surfaces leave the boundaries. When applied to the numerical solution of boundary value problems, not only are complex domains mapped into simple ones, but also the mesh near the boundaries can be made to conform with a prescribed form. Particularly useful prescriptions are the specifications of mesh distributions and angles. Sample applications are the local modeling of boundary layer coordinates and the smooth attachment of one coordinate system to another. In the latter case, a number of coordinate systems can be used as building blocks to form one large mesh. Simple examples of these applications, and more, are presented. Since the method of coordinate generation is based on a direct use of the bounding surfaces and certain intermediate control surfaces, it is referred to as a multi-surface method. © 1979.