Skip to Main content Skip to Navigation
Journal articles

High frequency analysis of the unsteady Interactive Boundary Layer model

Abstract : The present paper is about a famous extension of the Prandtl equation, the so-called Interactive Boundary Layer model (IBL). This model has been used intensively in the numerics of steady boundary layer flows, and compares favorably to the Prandtl one, especially past separation. We consider here the unsteady version of the IBL, and study its linear well-posedness, namely the linear stability of shear flow solutions to high frequency perturbations. We show that the IBL model exhibits strong unrealistic instabilities, that are in particular distinct from the Tollmien-Schlichting waves. We also exhibit similar instabilities for a Prescribed Displacement Thickness model (PDT), which is one of the building blocks of numerical implementations of the IBL model.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-01615251
Contributor : Anne-Laure Dalibard <>
Submitted on : Tuesday, January 9, 2018 - 11:57:00 AM
Last modification on : Wednesday, January 6, 2021 - 12:04:02 PM

Files

main-IBLV2.pdf
Files produced by the author(s)

Identifiers

Citation

Anne-Laure Dalibard, Helge Dietert, David Gérard-Varet, Frédéric Marbach. High frequency analysis of the unsteady Interactive Boundary Layer model. SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2018, 50 (4), pp.4203-4245. ⟨10.1137/17M1157477⟩. ⟨hal-01615251v2⟩

Share

Metrics

Record views

443

Files downloads

780