The effect of subgrid-scale models on the entrainment of a passive scalar in a turbulent planar jet

References

• Smagorinsky J. General circulation experiments with the primitive equations. Mon Weather Rev. 1963;91(3):99–164.
   Google Scholar
• Germano M, Piomelli U, Moin P, Cabot W. A dynamic subgrid-scale eddy viscosity model. Phys Fluids. 1991;2:1760–1765.
   Google Scholar
• Lévêque E, Toschi F, Shao L, Bertoglio JP. Shear-improved Smagorinsky model for large-eddy simulation of wall bounded turbulent flows. J Fluid Mech. 2007;570:491–502.
   Web of Science ®Google Scholar
• Vreman AW. An eddy-viscosity subgrid-scale model for the turbulent shear flow: algebraic theory and applications. Phys Fluids. 2004;16:3670–3681.
   Web of Science ®Google Scholar
• Townsend AA. The mechanism of entrainment in free turbulent flows. J Fluid Mech. 1966;26:689–715.
   Web of Science ®Google Scholar
• Mathew J, Basu A. Some characteristics of entrainment at a cylindrical turbulent boundary. Phys Fluids. 2002;14(7):2065–2072.
   Web of Science ®Google Scholar
• Westerweel J, Fukushima C, Pedersen JM, Hunt JCR. Mechanics of the turbulent-nonturbulent interface of a jet. Phys Rev Lett. 2005;95:174501.
   PubMed Web of Science ®Google Scholar
• Corrsin S, Kistler AL. Free-stream boundaries of turbulent flows. NACA; 1955. ( Technical Report TN-1244). http://ntrs.nasa.gov/search.jsp?R=19930092246
   Google Scholar
• Taveira RR, Diogo JS, Lopes DC, da Silva CB. Lagrangian statistics across the turbulent-nonturbulent interface in a turbulent plane jet. Phys Rev E. 2013;88:043001.
   Web of Science ®Google Scholar
• da Silva CB, Taveira RR, Borrell G. Characteristics of the turbulent-nonturbulent interface in boundary layers, jets and shear free turbulence. J Phys. 2014;506:012015.
   Google Scholar
• da Silva CB, Hunt J, Eames I, Westerweel J. Interfacial layers between regions of different turbulent intensity. Annu Rev Fluid Mech. 2014;46:567–590.
   Web of Science ®Google Scholar
• Meneveau C, Katz J. Scale invariance and turbulence models for large-eddy simulation. Annu Rev Fluid Mech. 2000;32:1–32.
   Web of Science ®Google Scholar
• Mellado J, Wang L, Peters N. Gradient trajectory analysis of a scalar field with external intermittency. J Fluid Mech. 2009;626:333–365.
   Web of Science ®Google Scholar
• Pumir A. A numerical study of the mixing of a passive scalar in three dimensions in the presence of a mean gradient. Phys Fluids. 1994;6:2118–2132.
   Web of Science ®Google Scholar
• Phillips OM. The irrotational motion outside a free turbulent boundary. Proc Cambridge Philos Soc. 1955;51:220.
   Google Scholar
• Bisset DK, Hunt JCR, Rogers MM. The turbulent/non-turbulent interface bounding a far wake. J Fluid Mech. 2002;451:383–410.
   Web of Science ®Google Scholar
• Carruthers DJ, Hunt JCR. Velocity fluctuations near an interface between a turbulent region and a stably stratified layer. J Fluid Mech. 1986;165:475–501.
   Web of Science ®Google Scholar
• da Silva CB. The behavior of subgrid-scale models near the turbulent/nonturbulent interface in jets. Phys Fluids. 2009;21:081702.
   Web of Science ®Google Scholar
• Gampert M, Kleinheinz K, Peters N, Pitsch H. Experimental and numerical study of the scalar turbulent/non-turbulent interface layer in a jet flow. Flow Turbulence Combustion. 2013;92:429–449.
   Web of Science ®Google Scholar
• Westerweel J, Fukushima C, Pedersen JM, Hunt JCR. Momentum and scalar transport at the turbulent/non-turbulent interface of a jet. J Fluid Mech. 2009;631:199–230.
   Web of Science ®Google Scholar
• Gampert M, Schaefer P, Peters N. Experimental investigation of dissipation-element statistics in scalar fields of a jet flow. J Fluid Mech. 2013;724:337–366.
   Web of Science ®Google Scholar
• Gampert M, Narayanaswamy V, Schaefer P, Peters N. Conditional statistics of the turbulent/non-turbulent interface in a jet flow. J Fluid Mech. 2013;731:615–638.
   Web of Science ®Google Scholar
• Gampert M, Schaefer P, Narayanaswamy V, Peters N. Gradient trajectory analysis in a jet flow for turbulent combustion modelling. J Turbulence. 2013;14:147–164.
   Google Scholar
• Gampert M, Boschung J, Hennig F, Gauding M, Peters N. The vorticity versus the scalar criterion for the detection of the turbulent/non-turbulent interface. J Fluid Mech. 2014;750:578–596.
   Web of Science ®Google Scholar
• Attili A, Cristancho JC, Bisetti F. Statistics of the turbulent/non-turbulent interface in a spatially developing mixing layer. J Turbul. 2014;15:555–568.
   Web of Science ®Google Scholar
• Pope SB. Turbulent flows. Cambridge: Cambridge University Press; 2000.
   Google Scholar
• Vreman B, Geurts B, Kuerten H. Large-eddy simulation of the turbulent mixing layer. J. Fluid Mech. 1997;339:357–390.
   Web of Science ®Google Scholar
• da Silva CB, Métais O. On the influence of coherent structures upon interscale interactions in turbulent plane jets. J Fluid Mech. 2002;473:103–145.
   Web of Science ®Google Scholar
• dos Reis RJN. The dynamics of coherent vortices near the turbulent/non-turbulent interface analysed by direct numerical simulations [PhD thesis]. Instituto Superior Técnico; 2011. https://fenix.tecnico.ulisboa.pt/downloadFile/4681520899743/tese_phd.pdf
   Google Scholar
• Lele SK. Compact finite difference schemes with spectral-like resolution. J Comput Phys. 1992;103:15–42.
   Web of Science ®Google Scholar
• Canuto C, Hussaini M, Quarteroni A, Zang T. Spectral methods in fluid dynamics. Berlin: Springer-Verlag; 1988.
   Google Scholar
• Williamson JH. Low-storage Runge-Kutta schemes. J Comput Phys. 1980;35:48–56.
   Web of Science ®Google Scholar
• Kim J, Moin P. Application of a fractional-step method to incompressible Navier-Stokes equations. J Comput Phys. 1985;59:308–323.
   Web of Science ®Google Scholar
• Le H, Moin P. An improvement of fractional-step methods for the incompressible Navier-Stokes equations. J Comput Phys. 1991;92:369–379.
   Web of Science ®Google Scholar
• Leonard BP. A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comput Methods Appl Mech Eng. 1979;19:59–98.
   Google Scholar
• Orlanski I. A simple boundary condition for unbounded hyperbolic flows. J Comput Phys. 1976;21:251–269.
   Web of Science ®Google Scholar
• Stanley S, Sarkar S, Mellado JP. A study of the flowfield evolution and mixing in a planar turbulent jet using direct numerical simulation. J Fluid Mech. 2002;450:377–407.
   Web of Science ®Google Scholar
• Ribault CL, Sarkar S, Stanley S. Large-eddy simulation of a plane jet. Phys Fluids. 1999;11(10):3069–3083.
   Web of Science ®Google Scholar
• Browne LJS, Antonia RA, Rajagopalan S, Chambers AJ. Interaction region of a two-dimensional turbulent plane jet in still air. In: Dumas R, Fulachier L, editors. Structure of complex turbulent shear flow, IUTAM Symp. Marseille: Springer; 1982.
   Google Scholar
• Thomas FO, Chu HC. An experimental investigation of the transition of the planar jet: subharmonic suppression and upstream feedback. Phys Fluids. 1989;1(9):1566–1587.
   Web of Science ®Google Scholar
• Deo RC, Mi J, Nathan GJ. The influence of Reynolds number on a plane jet. Phys Fluids. 2008;20:075108.
   Web of Science ®Google Scholar
• Deo RC, Nathan GJ, Mi J. Similarity analysis of the momentum field of a subsonic, plane air jet with varying jet-exit and local Reynolds numbers. Phys Fluids. 2013;25:015115.
   Google Scholar
• Davies A, Keffer JF, Baines WD. Spread of a heated plane turbulent jet. Phys Fluids. 1975;18:770–775.
   Web of Science ®Google Scholar
• Stanley S, Sarkar A, Mellado JP. A study of the flowfield evolution and mixing in a planar turbulent jet using direct numerical simulation. J Fluid Mech. 2002;450:377–401.
   Web of Science ®Google Scholar
• Gutmark E, Wygnansky I. The planar turbulent jet. J Fluid Mech. 1976;73:465–495.
   Web of Science ®Google Scholar
• Hussain AKMF, Clark AR. Upstream influence on the near field of a plane turbulent jet. Phys Fluids. 1977;20:1416–1426.
   Google Scholar
• Ramaprian R, Chandrasekhara MS. LDA measurements in plane turbulent jets. ASME: J Fluids Eng. 1985;107:264–271.
   Web of Science ®Google Scholar
• Thomas FO, Prakash KMK. An investigation of the natural transition of an untuned planar jet. Phys Fluids A. 1991;3(1):90–105.
   Web of Science ®Google Scholar
• Youssef J, Carlier J, Delvill J, Dorignac E. Experimental investigation on the self-preserving behaviour of a turbulent plane jet with co-flow. In: Friedrich, Adams, Eaton, Kasagi, Leschiner, editors. 7th international Symposium on Turbulence and Shear Flow Phenomena; Proceedings; 2007 August 27; Ottawa, Canada.
   Google Scholar
• Jenkins PE, Goldschmidt VW. Mean temperature and velocity in a plane turbulent jet. ASME: J Fluids Eng. 1973;95:581–584.
   Web of Science ®Google Scholar
• Stanley S, Sarkar S. Influence of nozzle conditions and discrete forcing on turbulent planar jets. AIAA J. 2000;38:1615–1623.
   Google Scholar
• Dimotakis PE. Turbulent mixing. Annu Rev Fluid Mech. 2005;37:329–356.
   Web of Science ®Google Scholar
• da Silva CB, Pereira JCF. Invariants of the velocity-gradient, rate-of-strain, and rate-of-rotation tensors across the turbulent/nonturbulent interface in jets. Phys Fluids. 2008;20:055101.
   Web of Science ®Google Scholar
• da Silva CB, Taveira RR. The thickness of the turbulent/nonturbulent interface is equal to the radius of the large vorticity structures near the edge of the shear layer. Phys Fluids. 2010;22:121702.
   Google Scholar
• Khashehchi M, Marusic I. Evolution of the turbulent/non-turbulent interface of an axisymmetric turbulent jet. Exp Fluids. 2013;54:1449.
   Google Scholar
• O’Neil J, Meneveau C. Subgrid-scale stresses and their modelling in a turbulent plane wake. J Fluid Mech. 1997;349:253–293.
   Web of Science ®Google Scholar
• Kang HS, Meneveau C. Experimental study of an active grid-generated mixing layer and comparisons with large-eddy simulation. Phys Fluids. 2008;20:125102.
   Web of Science ®Google Scholar
• Taveira RR, da Silva CB. Kinetic energy budgets near the turbulent/nonturbulent interface in jets. Phys Fluids. 2013;25:015114.
   Web of Science ®Google Scholar