Automatic Adaptive Grid Refinement for the Euler Equations

We present a method of adaptive grid refinement for the solution of the steady Euler equations for transonic flow. Our algorithm automatically decides where the coarse grid accuracy Is insufficient, and creates locally uniform refined grids in these regions. This typically occurs at the leading and trailing edges. The solution is then integrated to steady state using the same integrator (FLO52) in the interior of each grid. We examine the boundary conditions needed on the fine grids, and discuss the importance of treating the fine/coarse grid interface conservatively. Numerical results are presented.