Comparison between temporal and spatial direct numerical simulations for bypass transition flows

References

• Morkovin MV. On the many faces of transition. Viscous Drag Reduction. 1969. p. 1–31.
   Google Scholar
• Spalart PR, Venkatakrishnan V. On the role and challenges of CFD in the aerospace industry. Aeronaut J. 2016;120:209–232. doi: 10.1017/aer.2015.10
   Web of Science ®Google Scholar
• Wu X, Durbin PA. Evidence of longitudinal vortices evolved from distorted wakes in a turbine passage. J Fluid Mech. 2001;446:199–228. doi: 10.1017/S0022112001005717
   Web of Science ®Google Scholar
• Jacobs RG, Durbin PA. Simulations of bypass transition. J Fluid Mech. 2001;428:185–212. doi: 10.1017/S0022112000002469
   Web of Science ®Google Scholar
• Zaki TA, Durbin PA. Mode interaction and the bypass transition route to transition. J Fluid Mech. 2005;531:85–111. doi: 10.1017/S0022112005003800
   Web of Science ®Google Scholar
• Schlatter P, Brandt L, de Lange HC, et al. On streak breakdown in bypass transition. Phys Fluids. 2008;20:101505. doi: 10.1063/1.3005836
   Web of Science ®Google Scholar
• Wu X, Moin P. Direct numerical simulation of turbulence in a nominally zero-pressure-gradient flat-plate boundary layer. J Fluid Mech. 2009;630:5–41. doi: 10.1017/S0022112009006624
   Web of Science ®Google Scholar
• Schlatter P, Örlü R, Li Q, et al. Turbulent boundary layers up to Re= 2500 studied through simulation and experiment. Phys Fluids. 2009;21:51702. doi: 10.1063/1.3139294
   Web of Science ®Google Scholar
• Duan L. Direct numerical simulation of turbulence in a swept-wing boundary layer. J Fluid Mech. 2014;630:1–12.
   Google Scholar
• Bose R, Durbin PA. Helical modes in boundary layer transition. Phys Rev Fluids. 2016;1:073602. doi: 10.1103/PhysRevFluids.1.073602
   Web of Science ®Google Scholar
• Wu X, Moin P, Wallace JM, et al. Transitional–turbulent spots and turbulent–turbulent spots in boundary layers. P Natl A Sci. 2017;114:E5292–E5299. doi: 10.1073/pnas.1704671114
   PubMed Web of Science ®Google Scholar
• Kozul M, Chung D, Monty JP. Direct numerical simulation of the incompressible temporally developing turbulent boundary layer. J Fluid Mech. 2016;796:437–472. doi: 10.1017/jfm.2016.207
   Web of Science ®Google Scholar
• Jimenez J, Hoyas S, Simens MP, et al. Turbulent boundary layers and channels at moderate Reynolds numbers. J Fluid Mech. 2010;657:335–360. doi: 10.1017/S0022112010001370
   Web of Science ®Google Scholar
• Bobke A, Orlu R, Schlatter P. Simulations of turbulent asymptotic suction boundary layers. J Turbul. 2016;17:157–180. doi: 10.1080/14685248.2015.1083574
   Web of Science ®Google Scholar
• Angelis VD, De Angelis V, Lombardi P, et al. Direct numerical simulation of turbulent flow over a wavy wall. Phys Fluids. 1994-1997;9:2429–2442. doi: 10.1063/1.869363
   Google Scholar
• Scotti A, Piomelli U. Numerical simulation of pulsating turbulent channel flow. Phys Fluids. 2001;13:1367–1384. doi: 10.1063/1.1359766
   Web of Science ®Google Scholar
• Nagarajan S, Lele SK, Ferziger JH. Leading-edge effects in bypass transition. J Fluid Mech. 2007;572:471–504. doi: 10.1017/S0022112006001893
   Web of Science ®Google Scholar
• Ovchinnikov V, Choudhari MM, Piomelli U. Numerical simulations of boundary-layer bypass transition due to high-amplitude free-stream turbulence. J Fluid Mech. 2008;613:135–169. doi: 10.1017/S0022112008003017
   Web of Science ®Google Scholar
• Bhushan S, Warsi ZU, Walters KD. Modeling of energy backscatter via an algebraic subgrid-stress model. AIAA J. 2006;44:837–847. doi: 10.2514/1.17394
   Google Scholar
• Kim J, Moin P, Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. J Fluid Mech. 1987;177:133–166. doi: 10.1017/S0022112087000892
   Web of Science ®Google Scholar
• Bhushan S, Walters DK. A dynamic hybrid Reynolds-averaged Navier Stokes - large eddy simulation modeling framework. Phys Fluids. 2012;24:1–7. doi: 10.1063/1.3676737
   Web of Science ®Google Scholar
• Spalart PR. Direct simulation of a turbulent boundary layer up to Reθ = 1410. J Fluid Mech. 1988;187:61–98. doi: 10.1017/S0022112088000345
   Web of Science ®Google Scholar
• Guarini SE, Moser RD, Shariff K, et al. Direct numerical simulation of a supersonic turbulent boundary layer at Mach 2.5. J Fluid Mech. 2000;414:1–33. doi: 10.1017/S0022112000008466
   Web of Science ®Google Scholar
• Maeder T, Adams NA, Kleiser L. Direct simulation of turbulent supersonic boundary layers by an extended temporal approach. J Fluid Mech. 2001;429:187–216. doi: 10.1017/S0022112000002718
   Web of Science ®Google Scholar
• Wray A, Hussaini MY. Numerical experiments in boundary-layer stability. P Roy Soc London. A. Math Phys Sci. 1984;392:373–389.
   Web of Science ®Google Scholar
• Piomelli U, Zang TA, Speziale CG, et al. On the large-eddy simulation of transitional wall-bounded flows. Phys Fluids A: Fluid Dy. 1990;2:257–265. doi: 10.1063/1.857774
   Web of Science ®Google Scholar
• Rogers MM, Moser RD, Buell JC. A direct comparison of spatially and temporally evolving mixing layers. Bull. Am. Phys. Soc. 1990;35:2294.
   Google Scholar
• Akhavan R, Ansari A, Kang S, et al. Subgrid-scale interactions in a numerically simulated planar turbulent jet and implications for modelling. J Fluid Mech. 2000;408:83–120. doi: 10.1017/S0022112099007582
   Web of Science ®Google Scholar
• Ostoich CM, Bodony DJ, Geubelle PH. Interaction of a Mach 2.25 turbulent boundary layer with a fluttering panel using direct numerical simulation. Phys Fluids. 2013;25:110806. doi: 10.1063/1.4819350
   Web of Science ®Google Scholar
• He S, Seddighi M. Turbulence in transient channel flow. J Fluid Mech. 2013;715:60–102. doi: 10.1017/jfm.2012.498
   Web of Science ®Google Scholar
• Roach PE, Brierley DH. The influence of a turbulent freestream on zero pressure gradient transitional boundary layer development. part 1: test cases T3A and T3B. In: Pironneau O, Rodi W, Ryhming IL, editors. Numerical simulation of unsteady flows and transition to turbulence. Cambridge, UK: Cambridge University Press; 1990. p. 319–347.
   Google Scholar
• Mathur A, Gorji S, He S, et al. Temporal acceleration of a turbulent channel flow. J Fluid Mech. 2018;835:471–490. doi: 10.1017/jfm.2017.753
   Web of Science ®Google Scholar
• Zhang X, Watanabe T, Nagata K. Turbulent/nonturbulent interfaces in high-resolution direct numerical simulation of temporally evolving compressible turbulent boundary layers. Phys Rev Fluids. 2018;3:094605. doi: 10.1103/PhysRevFluids.3.094605
   Web of Science ®Google Scholar
• Pope SB. Turbulent flows. Cambridge (MA): Cambridge University Press; 2000.
   Google Scholar
• White FM, Corfield I. Viscous fluid flow. New York: McGraw-Hill; 2006.
   Google Scholar
• Warsi ZU. Fluid dynamics: theoretical and computational approaches. Boca Raton, Florida, USA: CRC press; 2005.
   Google Scholar
• Brandt L, Schlatter P, Henningson DS. Transition in boundary layers subject to free-stream turbulence. Journal of Fluid Mechanics. 2004;517:167–198. doi: 10.1017/S0022112004000941
   Web of Science ®Google Scholar
• Tsukahara T, Seki Y, Kawamura H, et al. DNS of turbulent channel flow at very low Reynolds numbers. Proceedings of the Fourth International Symposium on Turbulence and Shear Flow Phenomena, Williamsburg, VA; 2005. p. 935–940.
   Google Scholar
• Taylor GI. Production and dissipation of vorticity in a turbulent fluid. Proc Roy Soc London. Math Phys Sci. 1938;164:15–23.
   Google Scholar
• Piomelli U, Balint J-L, Wallace JM. On the validity of Taylor’s hypothesis for wall-bounded flows. Phys Fluids A: Fluid Dy. 1989;1:609–611. doi: 10.1063/1.857432
   Web of Science ®Google Scholar
• Del Álamo JC, Jiménez J. Estimation of turbulent convection velocities and corrections to Taylor’s approximation. J Fluid Mech. 2009;640:5–26. doi: 10.1017/S0022112009991029
   Web of Science ®Google Scholar
• Bhushan S, Walters KD, Muthu S, et al. Identification of bypass transition onset markers using direct numerical simulation. J Fluids Eng. 2018;140(11):111107. doi: 10.1115/1.4040299
   Web of Science ®Google Scholar
• Bhushan S, Muthu S. Parallel performance assessment of a pseudo-spectral solver for transition and turbulent boundary layer flows. Eng Appl Comput Fluid Mech. 2019;13:763–781.
   Google Scholar
• Moser RD, Kim J, Mansour NN. Direct numerical simulation of turbulent channel flow up to Reτ= 590. Phys Fluids. 1999;11:943–945. doi: 10.1063/1.869966
   Web of Science ®Google Scholar
• Bhushan S, Walters DK. Development of parallel pseudo-spectral solver using influence matrix method and application to boundary layer transition. Eng Appl Comput Fluid Mech. 2014;8:158–177.
   Google Scholar
• Rogallo RS. Numerical experiments in homogeneous turbulence. NASA Tech Memo. 1981;81315:1–91.
   Google Scholar
• Alfonsi G. On direct numerical simulation of turbulent flows. Appl Mech Rev. 2011;64, 0220802. doi: 10.1115/1.4005282
   Web of Science ®Google Scholar
• Rai MM, Moin P. Direct numerical simulation of transition and turbulence in a spatially evolving boundary layer. J Comput Phys. 1993;109(2):169–192. doi: 10.1006/jcph.1993.1210
   Web of Science ®Google Scholar
• Emory M, Iaccarino G. Visualizing turbulence anisotropy in the spatial domain with componentality contours center of turbulence research. Annu Res Briefs. 2014: 123–138.
   Google Scholar
• Choi H, Moin P. Effect of the computational time step on numerical solutions of turbulent flow. J Comput Phys. 1994;113:1–4. doi: 10.1006/jcph.1994.1112
   Web of Science ®Google Scholar
• Andersson P, Berggren M, Henningson DS. Optimal disturbances and bypass transition in boundary layers. Phys Fluids. 1999;11:134–150. doi: 10.1063/1.869908
   Web of Science ®Google Scholar
• Westin KJA, Boiko AV, Klingmann BGB, et al. Experiments in a boundary layer subjected to free stream turbulence. part 1. boundary layer structure and receptivity. J Fluid Mech. 1994;281:193–218. doi: 10.1017/S0022112094003083
   Web of Science ®Google Scholar
• Praisner TJ, Clark JP. Predicting transition in turbomachinery—part I: A review and new model development. J Turbomach. 2007;129:1. doi: 10.1115/1.2366513
   Web of Science ®Google Scholar
• Mayle RE, Schulz A. The path to predicting bypass transition. Volume 1: turbomachinery. 1996;119:V001T01A065.
   Google Scholar
• Matsubara M, Alfredsson PH. Disturbance growth in boundary layers subjected to free-stream turbulence. J Fluid Mech. 2001;430:149–168. doi: 10.1017/S0022112000002810
   Web of Science ®Google Scholar
• Jonáš P, Mazur O, Uruba V. On the receptivity of the by-pass transition to the length scale of the outer stream turbulence. Eur J Mech-B/Fluids. 2000;19:707–722. doi: 10.1016/S0997-7546(00)01094-3
   Web of Science ®Google Scholar
• Muthu S, Bhushan S, Walters DK. Evaluation of pressure-strain correlation as a basis for development of a physics-based transition onset marker. fluids engineering division summer meeting. American Society of Mechanical Engineers; 2019. p. V002T02A059.
   Google Scholar