202 1998 Per Lötstedt perl@tdb.uu.se Parallel adaptive multigrid solution of compressible flow problems Abstract The steady state solution of the Euler equations is computed in parallel on CRAY T3E on a structured grid around the M6 wing. The grid is partitioned into a number of blocks. In each block the grid is refined or coarsened based on an estimate of the error in the solution. The convergence is accelerated by the multigrid algorithm. Good parallel speedup is obtained also for the adapted grids. The combination of parallel computing and adaptivity reduces the elapsed time with orders of magnitude.