Multigrid solution of the Euler equations on unstructured and adaptive meshes

摘要: A multigrid algorithm has been developed for solving the steady-state Euler equations in two dimensions on unstructured triangular meshes. The method assumes various coarse and fine grids of sequence to be independent one another, thus decoupling grid generation procedure from algorithm. transfer variables between meshes employs a tree-search which rapidly identifies regions overlap cells. Finer are obtained either by regenerating new globally refined meshes, or adaptively refining previous coarser mesh. For both cases, observed convergence rates comparable those with structured solvers. generated shown produce solutions higher accuracy fewer mesh points.