A Survey of Unstructured Mesh Generation Technology

Adaptive Unstructured Grid Generation Scheme for Solution of the Heat Equation

An adaptive unstructured grid generation scheme is introduced to use finite volume (FV) and finite element (FE) formulation to solve the heat equation with singular boundary conditions. Regular grids could not acheive accurate solution to this problem. The grid generation scheme uses an optimal time complexity frontal method for the automatic generation and delaunay triangulation of the grid po...

On Efficiency of an Unstructured Grid Generation Method for Aerospace Applications

Unstructured Triangular - Quadrilateral Mesh Generation . Application to Surface Meshing

To start, we recall a mesh generation method, allowing to create a so called unit mesh, which is an extension of the classical Delaunay method in the case where the process is governed via an isotropic or an anisotropic control space. Then we introduce a conversion method from a triangular mesh to a quadrilateral mesh. Furthermore, we describe the generalization of this method to adaptive surfa...

Parallel Mesh Generation

Parallel mesh generation is a relatively new research area between the boundaries of two scientific computing disciplines: computational geometry and parallel computing. In this chapter we present a survey of parallel unstructured mesh generation methods. Parallel mesh generation methods decompose the original mesh generation problem into smaller subproblems which are meshed in parallel. We org...

Molecular dynamics-based unstructured grid generation method for aerodynamic applications

A new approach to triangular mesh generation based on the molecular dynamics method is proposed. Mesh nodes are considered as interacting particles. After the node placement by molecular dynamics simulation, well-shaped triangles or tetrahedra can be created after connecting the nodes by Delaunay triangulation or tetrahedrization. Some examples are considered in order to illustrate themethod’s ...