Numerical Simulations of Two-Dimensional Temporal and Spatial free Shear Layers: a Comparison
Two-dimensional laminar free shear layers are investigated by numerical simulations based on the complete Navier-Stokes equations. For solving the Navier-Stokes equations a finite difference method of forth-order accuracy in space and third-order accuracy in time is employed. For these investigations two different models are considered: the temporal model where spatial periodicity is assumed and therefore the shear layers (T-layers) develop in time, and the spatial model where the shear layers (S-layers) develop in the stream wise direction. The shear layers are forced with two perturbation modes, the fundamental mode and the subharmonic mode. The response of the shear layers to these perturbations is compared and discussed. It is found that the flow development may in some aspect be quite different.
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- 2.Riley, J.J. & Metcalfe, R.W. 1980. Direct numerical simulation of a perturbed, turbulent mixing layer. AIAA paper 80–0274.Google Scholar
- 6.Lowery, P.S. & Reynolds, W.C. 1986. Numerical simulation of a spatially- developing forced plane mixing layer. Rep. TF-26, Mech. Eng., Stanford University.Google Scholar
- 7.Sandham, N.D. & Reynolds, W.C. 1989. Some inlet-plane effects on the nu-merically simulated spatially-developing mixing layer. Turbulent Shear Flows 6, Springer-Verlag Berlin Heidelberg, 441–454.Google Scholar
- 8.Comte, P. Lesieur, M. & Normand, X. 1989. Numerical Simulations of Turbulent Plane Shear Layers. Turbulent Shear Flows 6, Springer-Verlag Berlin Heidelberg, 360–380.Google Scholar
- 9.Pruett, C.D. 1986. Numerical simulation of nonlinear waves in free shear layers. Ph.D. thesis, Appl. Math., Univ. of Arizona.Google Scholar
- 15.Hipp, H.C. 1988. Numerical investigation of mode interaction in free shear layers. M.S. thesis, Aerospace & Mech., Univ. of Arizona.Google Scholar
- 17.Zhang, Y.-Q., Ho, C.-M. & Monkewitz, P. 1984. The Mixing Layer Forced by Fundamental and Subharmonic.. Laminar-Turbulent Transition. IUTAM-Symposium Novosibirsk/USSR. Springer-Verlag Berlin Heidelberg, 385–935.Google Scholar