- Pont-Vílchez, A., Trias, F., Gorobets, A., and Oliva, A. "Direct numerical simulation of backward-facing step flow at Re= 395 and expansion ratio 2," Journal of Fluid Mechanics, 863, pp. 341-363, 2019.##
- Driver, D. M., Seegmiller, H. L., and Marvin, J. G. "Time-dependent behavior of a reattaching shear layer," AIAA journal, Vol. 25, pp. 914-919, 1987,.##
- Eaton, J., and Johnston, J. "A review of research on subsonic turbulent flow reattachment," AIAA journal, Vol. 19, No.9, pp. 1093-1100, 1981,.##
- Rajasekaran, J. "On the flow characteristics behind a backward-facing step and the design of a new axisymmetric model for their study," , PhD Dissertation, University of Toronto, 2011.##
- Adams, E., and Johnston, J. "Effects of the separating shear layer on the reattachment flow structure part 2: Reattachment length and wall shear stress," Experiments in Fluids, Vol.6, No.7, pp. 493-499, 1988.##
- De Brederode, V., and Bradshaw, P., Three-dimensional Flow in Nominally Two-dimensional Separation Bubbles: Flow Behind a Rearward-facing Step. I, Department of Aeronautics, Imperial College of Science and Technology, 1972.##
- Isomoto, K., and Honami, S. "The effect of inlet turbulence intensity on the reattachment process over a backward-facing step," Journal of fluids engineering, Vol. 111, No.1, pp. 87-92, 1989.##
- Jovic, S., and Driver, D. M. "Backward-facing step measurements at low Reynolds number, Reh= 5000," NASA TM, 108807, 1994.##
- Kuehn, D. A. D. "Effects of adverse pressure gradient on the incompressible reattaching flow over a rearward-facing step," AIAA journal, Vol. 18, No.3, pp. 343-344, 1980.##
- Ötügen, M. "Expansion ratio effects on the separated shear layer and reattachment downstream of a backward-facing step," Experiments in fluids, Vol.10, No.5, pp. 273-280, 1991.##
- Le, H., Moin, P., and Kim, J. "Direct numerical simulation of turbulent flow over a backward-facing step," Journal of Fluid Mechanics, Vol. 330, pp. 349-374, 1997.##
- Aider, J.-L., Danet, A., and Lesieur, M. "Large-eddy simulation applied to study the influence of upstream conditions on the time-dependant and averaged characteristics of a backward-facing step flow," Journal of Turbulence, Vol.8 , 2007,.##
- Benocci, C., Giammanco, R., Manna, M., and Simons, E. "Large eddy simulation of turbulent flows via domain decomposition techniques. Part 2: applications," International journal for numerical methods in fluids, Vol. 48, No.4, pp. 397-422, 2005.##
- Kanchi, H., Sengupta, K., and Mashayek, F. "Effect of turbulent inflow boundary condition in LES of flow over a backward-facing step using spectral element method," International Journal of Heat and Mass Transfer, Vol. 62, pp. 782-793, 2013.##
- Panjwani, B., Ertesvåg, I. S., Gruber, A., and Rian, K. E. "Large eddy simulation in generalized curvilinear coordinates using conventional approach: Theory and validation," International Journal for Numerical Methods in Fluids, Vol. 9, No.3, pp. 671-690, 2012.##
- Patil, S., and Tafti, D. "Wall modeled large eddy simulations of complex high Reynolds number flows with synthetic inlet turbulence," International Journal of Heat and Fluid Flow, Vol. 33, No.1, pp. 9-21, 2012.##
- Geurts, B. J., Rouhi, A., and Piomelli, U. "Recent progress on reliability assessment of large-eddy simulation," Journal of Fluids and Structures, 2019,.##
- Esmaeili, M., and Afshari, A. "LES/FMDF of premixed methane/air flow in a backward-facing step combustor," Energy Equipment and Systems, Vol. 7, No.2, pp. 159-173, 2019.##
- Choi, S.-K., and Lin, C.-L. "A simple finite-volume formulation of the lattice Boltzmann method for laminar and turbulent flows," Numerical Heat Transfer, Part B: Fundamentals, Vol. 58, No.4, pp. 242-261, 2010.##
- Shih, T.-H., Liou, W. W., Shabbir, A., Yang, Z., and Zhu, J. "A new k-ϵ eddy viscosity model for high reynolds number turbulent flows," Computers & Fluids, Vol. 24, No.3, pp. 227-238, 1995.##
- Javadi, K., Darbandi, M., and Taeibi-Rahni, M. "Three-dimensional compressible–incompressible turbulent flow simulation using a pressure-based algorithm," Computers & fluids, Vol. 37, No.6, pp. 747-766, 2008.##
- Nazif, H. R., and Tabrizi, H. B. "Applying a non-equilibrium wall function in k–ε turbulent modelling of hydrodynamic circulating flow," Applied Mathematical Modelling, Vol. 38, No. 2, pp. 588-598, 2014.##
- Razavi, S., and Hanifi, M. "A multi-dimensional virtual characteristic scheme for laminar and turbulent incompressible flows," Journal of Applied Fluid Mechanics, Vol. 9, No.4, pp. 1579-1590, 2016.##
- Sheikhi, N., Najafi, M., and Enjilela, V. "Extending the Meshless Local Petrov–Galerkin Method to Solve Stabilized Turbulent Fluid Flow Problems," International Journal of Computational Methods, Vol. 16, No.1, p. 1850086, 2019.##
- Hasse, C., Sohm, V., Wetzel, M., and Durst, B. "Hybrid URANS/LES turbulence simulation of vortex shedding behind a triangular flameholder," Flow, turbulence and combustion, Vol. 8, No.1, pp. 1-20, 2009.##
- Luo, D. "Numerical simulation of turbulent flow over a backward facing step using partially averaged Navier-Stokes method," Journal of Mechanical Science and Technology, Vol. 33, No.5, pp. 2137-2148, 2019.##
- Esmaeili, M., Afshari, A., and Jaberi, F. A. "Turbulent mixing in non-isothermal jet in crossflow," International Journal of Heat and Mass Transfer, Vol. 89, pp. 1239-1257, 2015.##
- Esmaeili, M., and Afshari, A., "LES/FMDF of Mixing in Turbulent Jet in Cross-Flows,"; Proc. ASME Conf., USA, 2014.##
- Afshari, A., Jaberi, F. A., and Shih, T. I. "Large-eddy simulations of turbulent flows in an axisymmetric dump combustor," AIAA journal, Vol. 46, No.7, pp. 1576-1592, 2008.##
- Yoshizawa, A. "Statistical theory for compressible turbulent shear flows, with the application to subgrid modeling," Physics of Fluids (1958-1988), Vol. 29, No.7, pp. 2152-2164, 1986.##
- Colucci, P., Jaberi, F., Givi, P., and Pope, S., 1998, "Filtered density function for large eddy simulation of turbulent reacting flows," Physics of Fluids (1994-present), Vol.10, No.2, pp. 499-515, 1998.##
- Germano, M., Piomelli, U., Moin, P., and Cabot, W. H. "A dynamic subgrid‐scale eddy viscosity model," Physics of Fluids A: Fluid Dynamics (1989-1993), Vol.3, No.7, pp. 1760-1765, 1991.##
- Moin, P. a., Squires, K., Cabot, W., and Lee, S. "A dynamic subgrid‐scale model for compressible turbulence and scalar transport," Physics of Fluids A: Fluid Dynamics (1989-1993), Vol. 3, No.11, pp. 2746-2757, 1991.##
- Nicoud, F., and Ducros, F. "Subgrid-scale stress modelling based on the square of the velocity gradient tensor," Flow, Turbulence and Combustion, Vol. 62, No.3, pp. 183-200, 1999.##
- Garnier, E., Adams, N., and Sagaut, P. Large eddy simulation for compressible flows, Springer Science & Business Media, 2009.##
- Suh, J., Frankel, S. H., Mongeau, L., and Plesniak, M. W. "Compressible large eddy simulations of wall-bounded turbulent flows using a semi-implicit numerical scheme for low Mach number aeroacoustics," Journal of Computational Physics, Vol. 215, No. 2, pp. 526-551, 2006.##
- Lele, S. K. "Compact finite difference schemes with spectral-like resolution," Journal of computational physics, Vol. 103, No.1, pp. 16-42, 1992.##
- Visbal, M. R., and Gaitonde, D. V. "Very high-order spatially implicit schemes for computational acoustics on curvilinear meshes," Journal of Computational Acoustics, Vol. 9, No.4, pp. 1259-1286, 2001.##
- Gaitonde, D. V., and Visbal, M. R. "Further filevelopment of a Navier-Stokes Solution~ Procedure Based on Higher-Order Formula, 1999."##
- Gaitonde, D. V., and Visbal, M. R. "Pade-plusmn;-Type Higher-Order Boundary Filters for the Navier-Stokes Equations," AIAA journal, Vol. 38, No.11, pp. 2103-2112, 2000.##
- Gottlieb, S., Shu, C.-W., and Tadmor, E. "Strong stability-preserving high-order time discretization methods," SIAM review, Vol. 43, No.1, pp. 89-112, 2001.##
- Shu, C.-W., and Osher, S. "Efficient implementation of essentially non-oscillatory shock-capturing schemes," Journal of Computational Physics, Vol. 77, No.2, pp. 439-471, 1988.##
- Jameson, A., and Baker, T., "Solution of the Euler equations for complex configurations," Proc. 6th Computational Fluid Dynamics Conference Danvers, 1983.##
- Spalart, P. R. "Direct simulation of a turbulent boundary layer up to Rθ= 1410," Journal of Fluid Mechanics, Vol. 187, pp. 61-98, 1988.##
- Jones, W., and Wille, M. "Large-eddy simulation of a plane jet in a cross-flow," International journal of heat and fluid flow, Vol. 17, No. 3, pp. 296-306, 1996.##
- You, D., Bose, S., and Moin, P., "Grid-independent large-eddy simulation of compressible turbulent flows using explicit filtering," Proc. Proceedings of the Summer Program, pp. 203-210, 2010.##
- Cavar, D., and Meyer, K. E. "LES of turbulent jet in cross-flow: Part 1–A numerical validation study," International Journal of Heat and Fluid Flow, Vol. 36, pp. 18-34, 2012.##
- Esmaeili, M., Afshari, A., and Jaberi, F. A. "Large-eddy simulation of turbulent mixing of a jet in cross-flow," Journal of Engineering for Gas Turbines and Power, Vol. 137, No.9, p. 091510, 2015.##
- Fröhlich, J., Mellen, C. P., Rodi, W., Temmerman, L., and Leschziner, M. A. "Highly resolved large-eddy simulation of separated flow in a channel with streamwise periodic constrictions," Journal of Fluid Mechanics, Vol. 526, pp. 19-66, 2005.##
- Pope, S. B. Turbulent flows, Cambridge university press, 2000.##
- Kolář, V. "Vortex identification: New requirements and limitations," International journal of heat and fluid flow, Vol. 28, No.4, pp. 638-652, 2007.##
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