Automated Three-Dimensional Grid Refinement on a Minicomputer,
COMPUTATIONAL MECHANICS CONSULTANTS INC KNOXVILLE TN
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A persistent requirement in computational fluid dynamics CFD applications to practical three-dimensional problem descriptions is a methodology for economically generating three-dimensional solution grids. The basic demands for these grids are smooth progressions of non-uniformity in physical space and a medium of regularity approaching orthogonality in computational space. When accomplished, this permits algorithmic solution of the Navier-Stokes equations in generalized coordinates, taking full advantage of efficient Jacobian factorizations and yielding a significant reduction in computer resource demands. The method described herein, operates on a domain manually subdivided into one or more subdomains called Macro Elements. This subdivision process provides generality for fitting the method to geometric boundary shapes of high complexity, including discontinuous surfaces. Each of the Marco Elements is described by its associated vertex and side grid points, thus providing sufficient definition for a bi-quadratic functional interpolation and admitting simply curved boundaries. Generated grids are local to each Macro Element permitting generation of hugh grids on memory limited mini computers and data specification is minimized through use of geometric progressions.