Themethodofnonlinearparabolizedstabilityequations(PSE)isappliedinthesimulationofvortexstructuresincompressiblemixinglayer.Thespatially-evolvingunstablewaves,whichdominatethevortexstructure,areinvestigatedthroughspatialmarchingmethod.Theinstantaneousflowfieldisobtainedbyaddingtheharmonicwavestobasicflow.TheresultsshowthatT-Swavesdonotkeepgrowingexponentiallyasthelinearevolution,theenergytransfertohighorderharmonicmodes,andthatfinallyallharmonicmodesgetsaturatedduetononlinearinteraction.Themeanflowdistortioninducedbythenonlinearinteractionbetweentheharmonicmodesandtheirconjugateharmonicones,makesgreatchangeoftheaverageflowandincreasesthethicknessofmixinglayer.PSEmethodscanwellcapturethetwo-andthree-dimensionallargescalenonlinearvortexstructuresinmixinglayerssuchasvortexroll-up,vortexpairing,andAvortex.
