Algorithms for construction and refinement of unstructured quadrangle meshes on multiconnected domains

Parallel Refinement of Unstructured Meshes

In this paper we describe a parallel h-refinement algorithm for unstructured finite element meshes based on the longest-edge bisection of triangles and tetrahedrons. This algorithm is implemented in PARED, a system that supports the parallel adaptive solution of PDEs. We discuss the design of such an algorithm for distributed memory machines including the problem of propagating refinement acros...

Conformal Refinement of Unstructured Quadrilateral Meshes

A multilevel adaptive refinement technique is presented for unstructured quadrilateral meshes in which the mesh is kept conformal at all times. This means that the refined mesh, like the original, is formed of only quadrilateral elements that intersect strictly along edges or at vertices, i.e., vertices of one quadrilateral element do not lie in an edge of another quadrilateral. Elements are re...

Robust Parallel Adaptive Mesh Refinement Software Library for Unstructured Meshes

Construction of Commutative Filters for LESon Unstructured Meshes

Application of large eddy simulation (LES) to flows with increasingly complex geometry necessitates the extension of LES to unstructured meshes. A desirable feature for LES on unstructured meshes is that the filtering operation used to remove small scale motions from the flow commutes with the differentiation operator. If this commutation requirement is satisfied, the LES equations have the sam...

Geometric Properties of the Local Refinement in Unstructured Triangular Meshes

In this work we study the propagation problem due to the conformity process in the longestedge based refinement algorithms for triangular unstructured meshes. The geometric properties in study answers the important question of how the size of the triangulation is affected when local refinement is applied. We prove both theoretically and empirically that the propagation of a single triangle refi...