An adaptive direct variational grid generation method

AbstractVariational grid generation techniques are now used to produce grids suitable for solving numerical partial differential equations in irregular geometries. Variational grid generation methods are very robust but slow. The method considered here is a discrete variational method. This method preserves the robustness of the variational method; also, it is very fast so it can be used in time-dependent problems. Here we discuss geometry and solution adaption for the direct discrete grid generation method, and some examples are presented to demonstrate its capabilities