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Investigation of Three-Dimensional Mesh Generation with Precise Controls.
Final rept. 1 May 82-30 Sep 86,
COLUMBIA UNIV NEW YORK
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Progress was made in a number of topics including algebraic, adaptive, surface and interactive grid generation. Seventeen papers and one Ph.D. resulted, including such titles as Alternating direction adaptive grid generation, The local redistribution of points along curves for numerical grid generation, Automatic algebraic coordinate generation and The geometric construction of pointwise distributions on curves. In the first paper, an improvement was made for alternating direction adaptive grid generation method. In the second paper, a basic tool for interactive grid generation was developed from an earlier theory of weights. In the third paper, the basic formulations of algebraic transformation were extended by forming Boolean sums of multisurface transformation and, by appropriate caupositiars, lifting the results to curved 2-D surfaces. In the final referenced paper, the capability to accurately partition the available grid points among various properties was established along with the simultaneous specification of grid spacing from the boundaries.
APPROVED FOR PUBLIC RELEASE