We perform adaptive mesh refinement (AMR) using the Residual error estimation method for two dimensional laminar backward-facing step flow and three dimensional turbulent flow around a low-rise building. In addition to that we make parametric studies about control parameters for AMR and examine relationship between error of calculated flow and number of ells on meshes generated by AMR. Consequently we reveal that we can generate cost-effective grid automatically for the above flow cases by performing directional AMR using appropriate control parameters even if we have very few knowledge about mesh generation technique for computational fluid dynamics simulation.