A general collapsing technique for three-dimensional algebraic grid generation
Guillermo Marshall, Peter R. Eiseman, John T. Kuo · Journal of Computational Physics · 1986
We present a general collapsing technique for the generation of a regular lexicographically ordered grid within a three-dimensional object by using multilinear algebraic coordinate transformations. The method is applied to the grid generation of a topologically complex region consisting of various three-dimensional objects. The local lexicographically ordered object grid is transformed, with an appropriate assembling procedure, into a global lexicographically ordered region grid. The method presented possesses simplicity and at the same time a sufficient degree of generality, a considerable amount of grid control, and a desirable degree of global grid uniformity to make it competitive.