Generalised Mesh and Adaptivity Techniques for Computational Fluid Dynamics

Abstract

After more than a decade of interest and research effort there is still considerable attention given to techniques for the construction of meshes. This is because the majority of people involved with computational methods have to face the problem of mesh generation. For some applications the process is relatively simple, for others mesh generation represents the major problem in the numerical simulation procedure. Techniques applicable to the former class of problem are now widely understood. Methods for use in problems defined in complicated domains have been developed by a relatively small group of workers in both industry and academia. Today, automatic grid generation generally follows the body aligned approach in the form of structured multiblock, utilising interpolation or elliptic solvers, or unstructured meshes of tetrahedra constructed using the advancing front or Delaunay approaches. Much success has been achieved using the overlapping mesh approach, which is now synonymous with the ‘Chimera’ method, although this is not widely used outside a few notable groups.