Space- and time-optimized schemes for computational aeroacoustics

The performances of high-order, highly efficient finite difference schemes with Runge-Kutta time integration are gauged for classical benchmark test cases of CAA. The validity of theoretical results related to the optimal performance of a given scheme and the devel- opment of space- and time- optimized schemes tailored for specific applications has been checked to verify the extension of the theory to practical problems. The results of the study show that most of the theoretical findings related to the optimal performance of numerical schemes do apply to real-world problems. The improvement of efficiency obtained with the use of optimized schemes is confirmed, even though the actual gain may sensitively depend upon the problems under consideration. The study has also confirmed problem related to the proper specification of numerical boundary conditions and boundary closures. © 2007 by Sergio Pirozzoli