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Numerical simulations of compressible mixing layers with a discontinuous Galerkin method 被引量：6

Numerical simulations of compressible mixing layers with a discontinuous Galerkin method
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摘要 Discontinuous Galerkin（DG） method is known to have several advantages for flow simulations,in particular,in fiexible accuracy management and adaptability to mesh refinement. In the present work,the DG method is developed for numerical simulations of both temporally and spatially developing mixing layers. For the temporally developing mixing layer,both the instantaneous fiow field and time evolution of momentum thickness agree very well with the previous results. Shocklets are observed at higher convective Mach numbers and the vortex paring manner is changed for high compressibility. For the spatially developing mixing layer,large-scale coherent structures and self-similar behavior for mean profiles are investigated. The instantaneous fiow field for a three-dimensional compressible mixing layer is also reported,which shows the development of largescale coherent structures in the streamwise direction. All numerical results suggest that the DG method is effective in performing accurate numerical simulations for compressible shear fiows. Discontinuous Galerkin（DG） method is known to have several advantages for flow simulations,in particular,in fiexible accuracy management and adaptability to mesh refinement. In the present work,the DG method is developed for numerical simulations of both temporally and spatially developing mixing layers. For the temporally developing mixing layer,both the instantaneous fiow field and time evolution of momentum thickness agree very well with the previous results. Shocklets are observed at higher convective Mach numbers and the vortex paring manner is changed for high compressibility. For the spatially developing mixing layer,large-scale coherent structures and self-similar behavior for mean profiles are investigated. The instantaneous fiow field for a three-dimensional compressible mixing layer is also reported,which shows the development of largescale coherent structures in the streamwise direction. All numerical results suggest that the DG method is effective in performing accurate numerical simulations for compressible shear fiows.
作者 Xiao-Tian Shi Jun Chen Wei-Tao Bi Chi-Wang Shu Zhen-Su She
机构地区 State Key Laboratory for Turbulence and Complex Systems and Dept. Mechanical and Aerospace Engineering Division of Applied Mathematics
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第3期318-329,共12页 力学学报（英文版）
基金 supported by the National Natural Science Foundation of China (90716008,10572004 and 10921202) MOST 973 Project (2009CB724100) and CSSA
关键词 Compressible mixing layer - Discontinuous Galerkin method . Self-similarity . Coherent structure Compressible mixing layer - Discontinuous Galerkin method . Self-similarity . Coherent structure
分类号 O241.82 [理学—计算数学] V211.1 [航空宇航科学与技术—航空宇航推进理论与工程]
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参考文献34

  • 1Brown, G.L., Roshko, A.: On density effects and large structures in turbulent mixing layers. J. Fluid Mech. 29, 775-816 (1974).
  • 2Jackson, T.L., Grosch, C.E.: Inviscid spatial stability of a com- pressible mixing layer. J. Fluid Mech. 208, 609-637 (1989).
  • 3Ragab, S.A., Wu, J.L.: Linear instabilities in two-dimensional compressible mixing layers. Phys. Fluids A 1(6), 957-966 (1989).
  • 4Clemens, N.T., Mungal, M.G.: Large-scale structures and en- trainment in the supersonic mixing layer. J. Fluid Mech. 284 171-216 (1995).
  • 5Rossmann, T., Mungal, M.G., Hanson, R.K.: Evolution and growth of large-scale structures in high compressibility mixing layers. J. Turb. 25 1-19 (2002).
  • 6Papamoschou, D., Roshko, A.: The compressible turbulent shear layer: an experimental study. J. Fluid Mech. 197 453- 477 (1988).
  • 7Goebel, S.G., Dutton, J.C.: Experimental study of compressible turbulent mixing layers. AIAA J. 29(4), 538-46 (1991).
  • 8Elliot, G.S., Samimy, M.,Arnette, S.A.: The characteristics and evolution of large-scale structures in compressible mixing layers. Phys. Fluids 7(4), 864-876 (1995).
  • 9Li, Q.B., Fu, S.: Numerical simulation of high-speed planar mixing layer. Computers and Fluids 32, 1357-1377 (2003).
  • 10Lele, S.K.: Direct numerical simulation of compressible free shear flows. AIAA-89-0374, 1989.

同被引文献33

  • 1马延文,傅德薰.Fourth order accurate compact scheme with group velocity control (GVC)[J].Science China Mathematics,2001,44(9):1197-1204. 被引量：9
  • 2ZHAO YuXin , YI ShiHe, TIAN LiFeng, HE Lin & CHENG ZhongYu College of Aerospace and Material Engineering, National University of Defense Technology, Changsha 410073, China.An experimental study of aero-optical aberration and dithering of supersonic mixing layer via BOS[J].Science China(Physics,Mechanics & Astronomy),2010,53(1):81-94. 被引量：13
  • 3Lele S K,Direct numerical simulation of compressible freeshear flows;AIAA 89-0374[R].Reston:AIAA,1989.
  • 4Sarkar S.The stabilizing effect of compressibility in turbulentshear flow[J].J.Fluid Mech.,1995,282:163-186.
  • 5Vreman B.Direct and Large-eddy simulation of the compressi-ble turbulent mixing layer[R].University of Twente,Depart-ment of Applied Mathematics,Thesis,1995.
  • 6Vreman A,Sandham N,et al.Compressible mixing layergrowth rate and turbulence characteristics [J].J. FluidMech.,1996.320:235-258.
  • 7Freund J,Lele S,et al.Compressibility effects in a turbulentannular mixing layer.Part 1.Turbulence and growth rate[J].J.Fluid Mech.,2000,421:229-267.
  • 8Freund J,Moin P,et al.Compressibility effects in a turbulentannular mixing layer.Part 2.Mixing of a passive scalar[J].J.Fluid Mech.,2000,421:269-292.
  • 9Li Q,Fu S.Numerical simulation of high-speed planar mixinglayer[J].Computers & Fluids.2003,32(10):1357-1377.
  • 10Cockburn B,Lin S Y,et al.TVB Runge-Kutta local projec-tion discontinuous Galerkin finite element method for conser-vation laws III:one dimensional systems[J].J.Comp.Phys.,1989,84:90-113.

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Acta Mechanica Sinica
2011年 第3期

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