Adaptive Cartesian grid based on an omni-tree

The method for adaptive Cartesian grid based on an omni-tree and finite volume method of the Euler equation is presented. Compared with an Octree structure, the Omni-tree structure supports anisotropic grid adaptations in any of the coordinate directions in an arbitrary manner. The Cartesian grid is. generated according to geometric and the body curvature, and the solution is converged to a steady state by the Jameson's finite volume solver, the solution-adaptive refinement of mesh is applied to resolve high-gradient regions of the flow. The extensive simulations are carried out for practical flow fields of M6 wing. The computational results coincide with the experiment data well.