An adaptive refinement/derefinement algorithm of structured grids for solving time-dependent problems

Abstract

The adaptive refinement/derefinement processes of strucrured grids are very useful to solve time-dependent problems in which moving refinemem areas are required. In this paper some definitions and properties are presented in order to explain our derefinement algorithm. The efficiency of this algorithm is showed in some numerical examples: a quasi-evolutive test problem and an evolutive convection-diffusion problem with dominant convection. In this last case, we present the principal numerical aspects about the implicit formulation that has been used.