Course Details

This course aims at creating a solid theoretical background related to grid generation methods and the way grids can be handled (including their adaptation) in Computational Mechanics, for the solution of problems governed by PDEs. Two- and three-dimensional, structured and unstructured grid generation methods are discussed. Linking with the way grids are used in CFD and CSM methods. Curvilinear coordinate systems and relevant coordinate transformations. Methods for generating body-fitted coordinate systems using algebraic methods or Laplace or Poisson type PDEs. Grid quality control using appropriate source terms. Unstructured grid topology, their storage and handling, coding tips. Grid generation methods for unstructured grids. Delaunay triangulation and their basic properties. The advancing front method. Three-dimensional unstructured grids with tetrahedral elements or hybrid grids. Adaptation of structured and unstructured grids. Adaptation criteria, refinement and derefinement schemes. H-type and p-type refinement. Applications using in-house codes for students to gain experience.