Toward reliable and eu000ecient laminar-turbulent ow transition predictions in supersonic and hypersonic ows over complex geometries

摘要

Recent theoretical and algorithmic advances are reported in matrix-rnforming and time-stepping approaches to the solution of the eigenvaluernproblem governing global linear instability theory. Analysis tools havernbeen developed to predict transition in rows over or through complexrngeometries at a cost that is orders of magnitude lower than that ofrnfull direct numerical simulation. Three confgurations highlight recentrnprogress: steady laminar supersonic and hypersonic boundary layer rowrnover an isolated roughness element and hypersonic row over an ellipticrncone and an orbiter model at re-entry conditions. Known instabilityrnmechanisms have been recovered, without invoking simplifying assump-rntions on the underlying base states. New instability mechanisms, in-rnaccessible to classic linear theories, have been unraveled in all threernconfgurations.