[Andrew2]

Hello,

I need to write an algorithm to simulate transonic flow with LES in compressor and I was interested in the algorithm given by "An efficient semi-implicit compressible solver for large-eddy simulations," by Mouraeu et al. However, I have doubts whether it can accurately predict shocks with a single iteration. In the text, the authors states temporal accuracy can be increased by performing additional loops over pressure correction terms. This process would look fairly similar to the PISO algorithm then. I have tried finding subsequent publications with test cases dealing with shocks, but I haven't found any. Would performing several loops on pressure correction terms (Eq. 2.19, 2.16, 2.17, 2.18) be sufficient to properly predict shocks? If not, is there other algorithms suitable for transonic flow with LES? Would compressible PISO algorithm be a good candidate?

Thank you,
Andrew