A novel approach of three-dimensional hybrid grid methodology: Part 1. Grid generation

A novel approach of three-dimensional hybrid grid methodology: Part 1. Grid generation

We propose a novel approach of three-dimensional hybrid grid methodology, the DRAGON grid method in the three-dimensional space. The DRAGON grid is created by means of a Direct Replacement of Arbitrary Grid Overlapping by Nonstructured grid, and is structured-grid dominated with unstructured grids in small regions. The DRAGON grid scheme is an adaptation to the Chimera thinking. It is capable o...

Three - Dimensional Grid

Quadtree and Octree Grid Generation

Engineering analysis often involves the accurate numerical solution of boundary value problems in discrete form. Hierarchical quadtree (or octree) grid generation offers an efficient method for the spatial discretisation of arbitrary-shaped two- (or three-) dimensional domains. It consists of recursive algebraic splitting of sub-domains into quadrants (or cubes), leading to an ordered hierarchi...

Three-dimensional elliptic grid generation with fully automatic boundary constraints

A new procedure for generating smooth uniformly clustered threedimensional structured elliptic grids is presented here which formulates three-dimensional boundary constraints by extending the two-dimensional counterpart1 presented by the author earlier. This fully automatic procedure obviates the need for manual specification of decay parameters over the six bounding surfaces of a given volume ...

Three-dimensional Grid Drawings of Graphs

A three-dimensional grid drawing of a graph G is a placement of the vertices at distinct integer points so that the straight-line segments representing the edges of G are pairwise non-crossing. It is shown that for any xed r 2, every r-colorable graph of n vertices has a three-dimensional grid drawing that ts into a box of volume O(n2). The order of magnitude of this bound cannot be improved.