Numerical Simulation of Transition in Wall-Bounded Shear Flows

Kleiser, Leonhard; Zang, Thomas A.

doi:10.1146/annurev.fl.23.010191.002431

Cited by 298 publications

(79 citation statements)

References 57 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The early stages of orderly transition are characterized by the amplification of twodimensional Tollmien-Schlichting (T-S) instability waves. The primary T-S waves develop a three-dimensional secondary instability, and subsequently break down to turbulence (Kleiser & Zang 1991). When the proceedings of transition deviate from this description, the breakdown mechanism is termed bypass transition (Morkovin 1969).…”

Section: Introductionmentioning

confidence: 99%

Stability of zero-pressure-gradient boundary layer distorted by unsteady Klebanoff streaks

2011

View full text Add to dashboard Cite

The secondary instability of a zero-pressure-gradient boundary layer, distorted by unsteady Klebanoff streaks, is investigated. The base profiles for the analysis are computed using direct numerical simulation (DNS) of the boundary-layer response to forcing by individual free-stream modes, which are low frequency and dominated by streamwise vorticity. Therefore, the base profiles take into account the nonlinear development of the streaks and mean flow distortion, upstream of the location chosen for the stability analyses. The two most unstable modes were classified as an inner and an outer instability, with reference to the position of their respective critical layers inside the boundary layer. Their growth rates were reported for a range of frequencies and amplitudes of the base streaks. The inner mode has a connection to the TollmienSchlichting (T-S) wave in the limit of vanishing streak amplitude. It is stabilized by the mean flow distortion, but its growth rate is enhanced with increasing amplitude and frequency of the base streaks. The outer mode only exists in the presence of finite amplitude streaks. The analysis of the outer instability extends the results of Andersson et al. (J. Fluid Mech. vol. 428, 2001, p. 29) to unsteady base streaks. It is shown that base-flow unsteadiness promotes instability and, as a result, leads to a lower critical streak amplitude. The results of linear theory are complemented by DNS of the evolution of the inner and outer instabilities in a zero-pressure-gradient boundary layer. Both instabilities lead to breakdown to turbulence and, in the case of the inner mode, transition proceeds via the formation of wave packets with similar structure and wave speeds to those reported by Nagarajan, Lele & Ferziger (J. Fluid Mech., vol. 572, 2007, p. 471).

show abstract

Section: Introductionmentioning

confidence: 99%

Stability of zero-pressure-gradient boundary layer distorted by unsteady Klebanoff streaks

2011

View full text Add to dashboard Cite

show abstract

“…Many of the previous numerical simulations were summarized in the review paper by Kleiser and Zang 1991 . Although it is natural to simulate transition with a spatial approach, because transition in boundary-layer ows evolves in the streamwise direction, the majority o f n umerical simulations have involved computing the temporal growth of the instabilities. Spatial simulations of transition have been limited mainly by the extreme computational resolution requirements in the spatially-growing streamwise direction, and also by the problems associated with assigning the proper in ow and out ow boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Large-Eddy Simulation of Transition to Turbulence in Boundary Layers

Xiaoli

Ronald

Piomelli

1997

Theoretical and Computational Fluid Dynamics

View full text Add to dashboard Cite

Large-eddy simulation results for laminar-to-turbulent transition in a spatially developing boundary layer are presented. The disturbances are ingested into a laminar ow through an unsteady suction-and-blowing strip. The ltered, three-dimensional timedependent N a vier-Stokes equations are integrated numerically using spectral, high-order nite-di erence, and three-stage low-storage Runge-Kutta methods. The bu er-domain technique is used for the out ow boundary condition. The localized dynamic model used to parameterize the subgrid-scale stresses begins to have a signi cant impact at the beginning of the nonlinear transition or intermittency region. The ow structures commonly found in experiments are also observed in the present simulation; the computed linear instability modes and secondary instability lambda-vortex structures are in agreement with the experiments, and the streak-like-structures and turbulent statistics compare with both the experiments and the theory. The physics captured in the present LES are consistent with the experiments and the full Navier-Stokes simulation DNS , at a signi cant fraction of the DNS cost. A comparison of the results obtained with several SGS models shows that the localized model gives accurate results both in a statistical sense and in terms of predicting the dynamics of the energy-carrying eddies, without ad hoc adjustments.

show abstract

“…It will naturally happen with very small free-stream turbulence of less than 1% intensity. Kleiser and Zang (1991) provided a review about the early simulations to predict the complete transition process numerically. Since the growth rate is so slow, transition to turbulence might not complete until a stream-wise distance is as large as 20 times farther downstream from the leading edge than the initial starting point of linear instability (Durbin et al, 2002).…”

Section: Orderly Transitionmentioning

confidence: 99%

A bypass transition model based on the intermittency function

View full text Add to dashboard Cite

Numerical Simulation of Transition in Wall-Bounded Shear Flows

Cited by 298 publications

References 57 publications

Stability of zero-pressure-gradient boundary layer distorted by unsteady Klebanoff streaks

Stability of zero-pressure-gradient boundary layer distorted by unsteady Klebanoff streaks

Large-Eddy Simulation of Transition to Turbulence in Boundary Layers

A bypass transition model based on the intermittency function

Contact Info

Product

Resources

About