STRUCTURED PSEUDOSPECTRA IN PROBLEMS OF SPATIAL STABILITY OF BOUNDARY LAYERS

The paper is devoted to the numerical analysis of the sensitivity of the characteristics of spatial stability of boundary layers to the errors with which the main flow is specified. It is proposed to use structured pseudospectra for this purpose. It is shown that the obtained estimates are significantly more accurate than the estimates based on the unstructured pseudospectrum. The presentation is carried out using the example of a viscous incompressible fluid flow over a concave surface of small curvature with flow parameters favorable for the development of Goertler vortices and Tollmien–Schlichting waves.