218 Research on High Accuracy Interpolation Schemes

Nowadays, computational aeroacoustics (CAA) pays a more and more important role in the design of modern aircrafts. There are too many differences between computational fluid dynamics (CFD) and CAA, one of those differences is that we should not only consider the aeroacoustic problems in time domain but also in frequency domain. When dispersion-relation-preserving (DRP) schemes are used to do the computation, the other special schemes must also have this property. Generalized 2-N-point schemes are optimized by Lagrange multiplier method under the concept of DRP in this paper. And they are used to simulate sound wave propagation at the inlet of a jet engine.