ISSN 0253-2778

CN 34-1054/N

Open AccessOpen Access JUSTC Original Paper

Large eddy simulation of turbulent swirling flow based on the swirling-strength subgrid scale stress model

Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2018.03.008
  • Received Date: 18 March 2017
  • Rev Recd Date: 02 June 2017
  • Publish Date: 31 March 2018
  • To enhance the ability of large eddy simulation (LES) to predict turbulent swirling flow, a subgrid eddy viscosity model based on the swirling-strength was applied to the LES of the non-reactive flow of the Sydney swirl burner. Two operation conditions, high Reynolds number with low swirl number and low Reynolds number with high swirl number, were selected to validate the performance of the proposed model in the strong shear layer and swirling flow, and the model simulation results were compared with the dynamic Smagorinsky model (DSM) and experimental results. The simulation results show that the LES results based on the swirling-strength model (SSM) can reasonably predict the important characteristics of the recirculation zone and precession motion of the central jet, which indicates the SSM model results of statistical moment are better than the DSM model results. However, the prediction of the RMS values at the shear layer of swirling flow is higher than experimental data, which indicates that the kinetic energy dissipation of SSM model may be over predicted in the shear layer, and that the SSM model needs to be improved in future.
    To enhance the ability of large eddy simulation (LES) to predict turbulent swirling flow, a subgrid eddy viscosity model based on the swirling-strength was applied to the LES of the non-reactive flow of the Sydney swirl burner. Two operation conditions, high Reynolds number with low swirl number and low Reynolds number with high swirl number, were selected to validate the performance of the proposed model in the strong shear layer and swirling flow, and the model simulation results were compared with the dynamic Smagorinsky model (DSM) and experimental results. The simulation results show that the LES results based on the swirling-strength model (SSM) can reasonably predict the important characteristics of the recirculation zone and precession motion of the central jet, which indicates the SSM model results of statistical moment are better than the DSM model results. However, the prediction of the RMS values at the shear layer of swirling flow is higher than experimental data, which indicates that the kinetic energy dissipation of SSM model may be over predicted in the shear layer, and that the SSM model needs to be improved in future.
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  • [1]
    NICOUD F, TODA H B, CABRIT O, et al. Using singular values to build a subgrid-scale model for large eddy simulations[J]. Physics of Fluids, 2011, 23(8): 085106.
    [2]
    SMAGORINSKY J. General circulation experiments with the primitive equations: I. the basic experiment[J]. Monthly Weather Review, 1963, 91(3): 99-164.
    [3]
    GERMANO M, PIOMELLI U, MOIN P, et al. A dynamic subgrid-scale eddy viscosity model[J]. Physics of Fluids A: Fluid Dynamics, 1991, 3(7): 1760-1765.
    [4]
    GERMANO M. Turbulence: The filtering approach[J]. Journal of Fluid Mechanics, 1992, 238: 325-336.
    [5]
    VREMAN A W. An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications[J]. Physics of Fluids, 2004, 16(10): 3670-3681.
    [6]
    NICOUD F, DUCROS F. Subgrid-scale stress modelling based on the square of the velocity gradient tensor[J]. Flow, Turbulence and Combustion, 1999, 62(3): 183-200.
    [7]
    TRIAS F X, FOLCH D, GOROBETS A, et al. Building proper invariants for eddy-viscosity subgrid-scale models[J]. Physics of Fluids, 2015, 27(6): 065103
    [8]
    CHONG M S, PERRY A E, CANTWELL B J. A general classification of three-dimensional flow fields[J]. Physics of Fluids A: Fluid Dynamics, 1990, 2(5): 765-777.
    [9]
    NICOUD F, TODA H B, CABRIT O, et al. Using singular values to build a subgrid-scale model for large eddy simulations[J]. Physics of Fluids, 2011, 23(8): 085106.
    [10]
    ZHU Z, NIU J, LI Y. Swirling-strength based large eddy simulation of turbulent flow around single square cylinder at low Reynolds numbers[J]. Applied Mathematics and Mechanics, 2014, 35: 959-978.
    [11]
    ZHOU J, ADRIAN R J, BALACHANDAR S, et al. Mechanisms for generating coherent packets of hairpin vortices in channel flow[J]. Journal of Fluid Mechanics, 1999, 387: 353-396.
    [12]
    PARK N, LEE S, LEE J, et al. A dynamic subgrid-scale eddy viscosity model with a global model coefficient[J]. Physics of Fluids, 2006, 18(12): 125109.
    [13]
    CHTEREV I, FOLEY C W, FOTI D, et al. Flame and flow topologies in an annular swirling flow[J]. Combustion Science and Technology, 2014, 186(8): 1041-1074.
    [14]
    CRAFT T J, IACOVIDES H, LAUNDER B E, et al. Some swirling-flow challenges for turbulent CFD[J]. Flow Turbulence & Combustion, 2008 , 80 (4) :419-434.
    [15]
    DUNHAM D, SPENCER A, MCGUIRK J J, et al. Comparison of unsteady Reynolds averaged Navier–stokes and large eddy simulation computational fluid dynamics methodologies for air swirl fuel injectors[J]. Journal of Engineering for Gas Turbines and Power, 2008, 131 (1): 011502–011510.
    [16]
    AL-ABDELI Y M, MASRI A R. Recirculation and flow field regimes of unconfined non-reacting swirling flows[J]. Experimental Thermal And Fluid Science, 2003, 27(5): 655-665.
    [17]
    FUJIMOTO Y, YAMASAKI N. Large eddy simulation of swirling jet in a bluff-body burner[J]. JSME International Journal Series B Fluids and Thermal Engineering, 2006, 49(4): 1125-1132.
    [18]
    OLBRICHT C, HAHN F, JANICKA J. LES of Vortex Breakdown in Swirled Bluff-Body Flows[C]//ASME Turbo Expo 2008: Power for Land, Sea, and Air. American Society of Mechanical Engineers, 2008: 145-153.
    [19]
    YANG Y, KR S K. Large-eddy simulations of the non-reactive flow in the Sydney swirl burner[J]. International Journal of Heat and Fluid Flow, 2012, 36: 47-57.
    [20]
    张济民, 韩超, 张宏达, 等. 钝体绕流有旋流中回流区与进动涡核的大涡模拟[J]. 推进技术, 2014 (8): 1070-1079.
    ZHANG Jimin, HAN Chao, ZHANG Hongda, et al. Large eddy simulation of recirculation and precessing vortex core in swirling flow around a bluff-body[J]. Journal of Propulsion Technology, 2014 (8): 1070-1079.
    [21]
    LILLY D K. A proposed modification of the Germano subgrid-scale closure method[J]. Physics of Fluids A: Fluid Dynamics, 1992, 4(3): 633-635.
    [22]
    MENEVEAU C, LUND T S, CABOT W H. A Lagrangian dynamic subgrid-scale model of turbulence[J]. Journal of Fluid Mechanics, 1996, 319: 353-385.
    [23]
    张宏达,叶桃红, 陈靖, 等. 湍流贫燃预混射流火焰的大涡模拟[J]. 推进技术, 2015, 36(7): 1027-1035.
    ZHANG Hongda, YE Taohong, CHEN Jing, et al. Large eddy simulation of turbulent lean premixed jet flame[J]. Journal of Propulsion Technology, 2015, 36(7): 1027-1035.
    [24]
    AL-ABDELI Y M, MASRI A R. Precession and recirculation in turbulent swirling isothermal jets[J]. Combustion Science and Technology, 2004, 176(5/6):645-665.
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Catalog

    [1]
    NICOUD F, TODA H B, CABRIT O, et al. Using singular values to build a subgrid-scale model for large eddy simulations[J]. Physics of Fluids, 2011, 23(8): 085106.
    [2]
    SMAGORINSKY J. General circulation experiments with the primitive equations: I. the basic experiment[J]. Monthly Weather Review, 1963, 91(3): 99-164.
    [3]
    GERMANO M, PIOMELLI U, MOIN P, et al. A dynamic subgrid-scale eddy viscosity model[J]. Physics of Fluids A: Fluid Dynamics, 1991, 3(7): 1760-1765.
    [4]
    GERMANO M. Turbulence: The filtering approach[J]. Journal of Fluid Mechanics, 1992, 238: 325-336.
    [5]
    VREMAN A W. An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications[J]. Physics of Fluids, 2004, 16(10): 3670-3681.
    [6]
    NICOUD F, DUCROS F. Subgrid-scale stress modelling based on the square of the velocity gradient tensor[J]. Flow, Turbulence and Combustion, 1999, 62(3): 183-200.
    [7]
    TRIAS F X, FOLCH D, GOROBETS A, et al. Building proper invariants for eddy-viscosity subgrid-scale models[J]. Physics of Fluids, 2015, 27(6): 065103
    [8]
    CHONG M S, PERRY A E, CANTWELL B J. A general classification of three-dimensional flow fields[J]. Physics of Fluids A: Fluid Dynamics, 1990, 2(5): 765-777.
    [9]
    NICOUD F, TODA H B, CABRIT O, et al. Using singular values to build a subgrid-scale model for large eddy simulations[J]. Physics of Fluids, 2011, 23(8): 085106.
    [10]
    ZHU Z, NIU J, LI Y. Swirling-strength based large eddy simulation of turbulent flow around single square cylinder at low Reynolds numbers[J]. Applied Mathematics and Mechanics, 2014, 35: 959-978.
    [11]
    ZHOU J, ADRIAN R J, BALACHANDAR S, et al. Mechanisms for generating coherent packets of hairpin vortices in channel flow[J]. Journal of Fluid Mechanics, 1999, 387: 353-396.
    [12]
    PARK N, LEE S, LEE J, et al. A dynamic subgrid-scale eddy viscosity model with a global model coefficient[J]. Physics of Fluids, 2006, 18(12): 125109.
    [13]
    CHTEREV I, FOLEY C W, FOTI D, et al. Flame and flow topologies in an annular swirling flow[J]. Combustion Science and Technology, 2014, 186(8): 1041-1074.
    [14]
    CRAFT T J, IACOVIDES H, LAUNDER B E, et al. Some swirling-flow challenges for turbulent CFD[J]. Flow Turbulence & Combustion, 2008 , 80 (4) :419-434.
    [15]
    DUNHAM D, SPENCER A, MCGUIRK J J, et al. Comparison of unsteady Reynolds averaged Navier–stokes and large eddy simulation computational fluid dynamics methodologies for air swirl fuel injectors[J]. Journal of Engineering for Gas Turbines and Power, 2008, 131 (1): 011502–011510.
    [16]
    AL-ABDELI Y M, MASRI A R. Recirculation and flow field regimes of unconfined non-reacting swirling flows[J]. Experimental Thermal And Fluid Science, 2003, 27(5): 655-665.
    [17]
    FUJIMOTO Y, YAMASAKI N. Large eddy simulation of swirling jet in a bluff-body burner[J]. JSME International Journal Series B Fluids and Thermal Engineering, 2006, 49(4): 1125-1132.
    [18]
    OLBRICHT C, HAHN F, JANICKA J. LES of Vortex Breakdown in Swirled Bluff-Body Flows[C]//ASME Turbo Expo 2008: Power for Land, Sea, and Air. American Society of Mechanical Engineers, 2008: 145-153.
    [19]
    YANG Y, KR S K. Large-eddy simulations of the non-reactive flow in the Sydney swirl burner[J]. International Journal of Heat and Fluid Flow, 2012, 36: 47-57.
    [20]
    张济民, 韩超, 张宏达, 等. 钝体绕流有旋流中回流区与进动涡核的大涡模拟[J]. 推进技术, 2014 (8): 1070-1079.
    ZHANG Jimin, HAN Chao, ZHANG Hongda, et al. Large eddy simulation of recirculation and precessing vortex core in swirling flow around a bluff-body[J]. Journal of Propulsion Technology, 2014 (8): 1070-1079.
    [21]
    LILLY D K. A proposed modification of the Germano subgrid-scale closure method[J]. Physics of Fluids A: Fluid Dynamics, 1992, 4(3): 633-635.
    [22]
    MENEVEAU C, LUND T S, CABOT W H. A Lagrangian dynamic subgrid-scale model of turbulence[J]. Journal of Fluid Mechanics, 1996, 319: 353-385.
    [23]
    张宏达,叶桃红, 陈靖, 等. 湍流贫燃预混射流火焰的大涡模拟[J]. 推进技术, 2015, 36(7): 1027-1035.
    ZHANG Hongda, YE Taohong, CHEN Jing, et al. Large eddy simulation of turbulent lean premixed jet flame[J]. Journal of Propulsion Technology, 2015, 36(7): 1027-1035.
    [24]
    AL-ABDELI Y M, MASRI A R. Precession and recirculation in turbulent swirling isothermal jets[J]. Combustion Science and Technology, 2004, 176(5/6):645-665.

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