A unified wall function for compressible turbulence modelling

References

• Cengel YA, Cimbala JM. Fluid mechanics: fundamentals and applications. Columbus (OH): McGraw Hill Publication; 2006.
   Google Scholar
• Kalitzin G, Medic G, Iaccarino G, et al. Near-wall behavior of RANS turbulence models and implications for wall functions. J Comput Phys. 2005;204(1):265–291.
   Web of Science ®Google Scholar
• Knopp T, Alrutz T, Schwamborn D. A grid and flow adaptive wall-function method for RANS turbulence modelling. J Comput Phys. 2006;220(1):19–40.
   Web of Science ®Google Scholar
• Launder BE, Spalding DB. The numerical computation of turbulent flows. Comput Methods Appl Mech Eng. 1974;3(1):269–289.
   Google Scholar
• Nichols RH, Nelson CC. Wall function boundary conditions including heat transfer and compressibility. AIAA J. 2004;42(6):1107–1114.
   Google Scholar
• Shih TH, Povinelli LA, Liu NS. Application of generalized wall function for complex turbulent flows. J Turbul. 2003;4:N15.
   Web of Science ®Google Scholar
• De Villiers E. The potential of Large Eddy simulation for the modeling of wall bounded flows [dissertation]. London: Imperial College London; 2006.
   Google Scholar
• Spalding DB. A single formula for the “Law of the Wall”. J Appl Mech. 1961;28(3):455–458.
   Google Scholar
• Popovac M, Hanjalic K. Compound wall treatment for RANS computation of complex turbulent flows and heat transfer. Flow Turbul Combust. 2007;78(2):1573–1987.
   Web of Science ®Google Scholar
• Rahman MM, Siikonen T. Compound wall treatment with low-re turbulence model. Int J Numer Methods Fluids. 2012;68(6):706–723.
   Web of Science ®Google Scholar
• Viegas J, Rubesin M, Horstman C. On the use of wall functions as boundary conditions for two-dimensional separated compressible flows. In: 23rd Aerospace Sciences Meetings; Reno (NV): American Institute of Aeronautics and Astronautics; 1985.
   Google Scholar
• Smith B. The k-kl turbulence model and wall layer model for compressible flows. In: 21st Fluid Dynamics, Plasma Dynamics and Lasers Conference. Seattle (WA): American Institute of Aeronautics and Astronautics; 1990.
   Google Scholar
• Nichols R. Development and validation of a two-equation turbulence model with wall functions for compressible flow. In: 14th Applied Aerodynamics Conference. New Orleans (LA): American Institute of Aeronautics and Astronautics; 1996.
   Google Scholar
• Craft TJ, Gant SE, Iacovides H, et al. A new wall function strategy for complex turbulent flows. Numer Heat Transfer Part B: Fundam. 2004;45(4):301–318.
   Web of Science ®Google Scholar
• Craft TJ, Gant SE, Gerasimov AV, et al. Development and application of wall-function treatments for turbulent forced and mixed convection. Fluid Dyn Res. 2006;38(2–3):127–144.
   Web of Science ®Google Scholar
• Mohammadi B, Puigt G. Generalized wall functions for high-speed separated flows over adiabatic and isothermal walls. Int J Comput Fluid Dyn. 2001;14(3):183–200.
   Web of Science ®Google Scholar
• Gao ZX, Jiang CW, Lee CH. A new wall function boundary condition including heat release effect for supersonic combustion flows. Appl Therm Eng. 2016;92(5):62–70.
   Google Scholar
• Stratford BS. An experimental flow with zero skin friction throughout its region of pressure rise. J Fluid Mech. 1959;5(1):17–35.
   Web of Science ®Google Scholar
• Tennekes H, Lumley JL, editors. A first course in turbulence. Cambridge (MA): MIT Press; 1972.
   Google Scholar
• White FM, editor. Viscous fluid flow. New York (NY): McGraw-Hill; 2006.
   Google Scholar
• Johnson L, Scholz D. On Steffensen's method. SIAM J Numer Anal. 1968;5(2):296–302.
   Google Scholar
• Smith HE. The flow field and heat transfer downstream of a rearward facing step in supersonic flow. Aerospace Research Laboratories; 1967. (ARL-67-0056).
   Google Scholar
• Turbulence Modeling Resource [Internet]. NASA Langley Research Center; 2017. Available from: http://turbmodels.larc.nasa.gov/
   Google Scholar
• Wilcox DC. Formulation of the k-ω turbulence model revisited. AIAA J. 2008;46(11):2823–2838.
   Google Scholar