We use circle-packing methods to generate quadrilateral meshes for polygonal domains, with guaranteed bounds both on the quality and the number of elements. We show that these methods can generate meshes of several types: (1) the elements form the cells of a Voronoı̈ diagram, (2) all elements have two opposite 90 angles, (3) all elements are kites, or (4) all angles are at most 120. In each case...

Nowadays, numerical modelings play a key role in analyzing hydraulic problems in fractured rock media. The discrete fracture network model is one of the most used numerical models to simulate the geometrical structure of a rock-mass. In such media, discontinuities are considered as discrete paths for fluid flow through the rock-mass while its matrix is assumed impermeable. There are two main pa...

The method of calculating the roughness gear teeth depending on parameters meshing gears at rolling friction with slippage. A model for equilibrium surface in form a truncated cone, made basis spherical model. Methods determining technological protrusion; calculation depth implementation protrusion counter body; assessment pattern change module, load meshing. evaluating ratio actual and nominal...

In recent years several automatic 3D meshing algorithms have emerged. However direct analysis of CAD models is still elusive. Among the major obstacles preventing automation is the necessity to edit the CAD models to be suitable both for the analysis objectives and the available meshing algorithms. Such editing includes topology correction and validation, detail suppression and decomposition. E...

This paper proposes chordal surface transform for representation and discretization of thin section solids, such as automobile bodies, plastic injection mold components and sheet metal parts. A multiple-layered all-hex mesh with a high aspect ratio is a typical requirement for mold flow simulation of thin section objects. The chordal surface transform reduces the problem of 3D hex meshing to 2D...