Adaptive Solution of Steady Two Dimensional Flow on an Unstructured Grid

Two-dimensional Euler equations have been solved on an unstructured grid. An upwind finite volume scheme, based on Roe's flux difference splitting method, is used to discretize the equations. Using advancing front method, an initial Delaunay triangulation has been made. The adaptation procedure involves mesh enrichment coarsening in regions of flow with high low gradients of flow properties, according to an introduced adaptation criteria. To validate the procedure, a couple of internal and external steady flows are solved. One may see the effectiveness of introducing relatively few cells and the local adaptation algorithm on accuracy. Solution dependency on grid is also studied.