An application of nonlocal external conditions to viscous flow computations (Q1346524)

We are looking for a steady-state solution of an external flow problem originally formulated on an unbounded domain. Our case is a two- dimensional viscous compressible flow past a finite body (airfoil). We truncate the original domain by introducing a finite grid around the airfoil and integrate the Navier-Stokes equations on this grid with the help of a finite-volume code which involves a multigrid pseudotime iteration technique for achieving a steady state. We supplement the numerical algorithm by special nonlocal artificial boundary conditions based on the difference potentials method.