Remarks on disputed numerical results in compressible boundary-layer stability theory

1984 ◽  
Vol 27 (2) ◽  
pp. 342 ◽  
Author(s):  
Leslie M. Mack
Keyword(s):  
Boundary Layer ◽  
Stability Theory ◽  
Numerical Results ◽  
Boundary Layer Stability ◽  
Compressible Boundary Layer

Compressible boundary‐layer stability theory

1990 ◽  
Vol 2 (8) ◽  
pp. 1341-1349 ◽  
Author(s):  
Helen L. Reed ◽  
Ponnampalam Balakumar
Keyword(s):  
Boundary Layer ◽  
Stability Theory ◽  
Boundary Layer Stability ◽  
Compressible Boundary Layer

Higher eigenstates in boundary-layer stability theory

1976 ◽  
Vol 77 (1) ◽  
pp. 81-104 ◽  
Author(s):  
D. Corner ◽  
D. J. R. Houston ◽  
M. A. S. Ross
Keyword(s):  
Boundary Layer ◽  
Reynolds Number ◽  
Stability Theory ◽  
Free Stream ◽  
Angular Frequency ◽  
Boundary Layer Stability ◽  
Fundamental State ◽  
Blasius Boundary Layer ◽  
The Stability ◽  
Sommerfeld Equation

Using the Orr-Sommerfeld equation with the wavenumber as the eigenvalue, a search for higher eigenstates in the stability theory of the Blasius boundary layer has revealed the existence of a number of viscous states in addition to the long established fundamental state. The viscous states are discrete, belong to two series, and are all heavily damped in space. Within the limits of the investigation the number of viscous states existing in the layer increases as the Reynolds number and the angular frequency of the perturbation increase. It is suggested that the viscous eigenstates may be responsible for the excitation of some boundary-layer disturbances by disturbances in the free stream.

Toward Cost-Effective Boundary Layer Transition Computations With Large-Eddy Simulation

2018 ◽  
Vol 140 (11) ◽  
Author(s):  
Solkeun Jee ◽  
Jongwook Joo ◽  
Ray-Sing Lin
Keyword(s):  
Boundary Layer ◽  
Large Eddy Simulation ◽  
Boundary Layers ◽  
Stability Theory ◽  
Boundary Layer Stability ◽  
Computational Domain ◽  
Nonlinear Interactions ◽  
Eddy Simulation ◽  
Subgrid Model ◽  
Large Eddy

An efficient large-eddy simulation (LES) approach is investigated for laminar-to-turbulent transition in boundary layers. This approach incorporates the boundary-layer stability theory. Primary instability and subharmonic perturbations determined by the boundary-layer stability theory are assigned as forcing at the inlet of the LES computational domain. This LES approach reproduces the spatial development of instabilities in the boundary layer, as observed in wind tunnel experiments. Detailed linear growth and nonlinear interactions that lead to the H-type breakdown are well captured and compared well to previous direct numerical simulation (DNS). Requirements in the spatial resolution in the transition region are investigated with connections to the resolution in turbulent boundary layers. It is shown that the subgrid model used in this study is apparently dormant in the overall transitional region, allowing the right level of the growth of small-amplitude instabilities and their nonlinear interactions. The subgrid model becomes active near the end of the transition where the length scales of high-order instabilities become smaller in size compared to the given grid resolution. Current results demonstrate the benefit of the boundary-layer forcing method for the computational cost reduction.

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