Highly accurate multioperators schemes for aeroacoustics with application to noise generated by jets

The paper presents the multioperators strategy for constructing arbitrary-order approximations to the fluid dynamics equations used in aeroacoustic calculations. Its essence is using linear combinations of basis operators obtained by fixing sets of M parameters in one-parameter families of compact approximations. Multioperators based highly accurate schemes with two types of basis operators are described. The schemes were used for numerical simulations of aeroacoustic fields generated by subsonic and supersonic jet instabilities. The obtained results are compared with experimental data.