An evaluation of a novel approach to mesh generation

A novel adaptive grid approach, on quadrilateral meshes for the Euler and N avier-Stokes solvers is developed. Solution adaptation is through two non-l inear heat-conduction analogies applied directly on a two-dimensional surfa ce using finite volume method. Clustering of the grid generated is controll ed by the conductivity in the computational domain, which can be related to the geometrical curvature and flow gradient. Three levels of "multigrid" c omputation are implemented to accelerate convergence as a grid refinement p rocess. The grid quality is accessed by a histogram analysis of maximum ang le and aspect ratio distributions. this work assumes that interpolation err ors due to numerical approximation of fluxes across the surfaces of a contr ol volume should become significant only as the skew angle and aspect ratio increases. Detailed computational results and comparisons with measured da ta are presented for steady transonic flow over a NACA0012 airfoil, superso nic flow through a DFVLR stator and a a 15 degrees ramp. Shock regions are better refined.