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Evaluation of Outflow Boundary Conditions in DNS of Turbulent Jet Flows

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Choice of an outflow boundary condition (BC) for a turbulent free-jet flow simulation in a finite domain is non trivial, where neighbouring boundaries and their BCs may also have an influence. In this work, three different outflow BCs, Neumann BC with back-flow limiter, convective BC and Chapman BC (which is based on Orlanski scheme), were considered. A planar turbulent jet at \(Re = 4000\) was simulated using direct numerical simulation (DNS), where an entrainment BC is applied on the lateral sides of the jet. The outflow BC proposed by Orlanski in an explicit form, which was later re-formulated by Chapman, was found to be a good choice in the present problem, where entrainment effects are also present.


  • Turbulent free jet
  • Outflow BC
  • Chapman BC
  • Orlanski scheme

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  1. Ball CG, Fellouah H, Pollard A (2012) The flow field in turbulent round free jets. Prog Aerosp Sci 50:1–26. ISSN 03760421

  2. Miyauchi T, Tanahashi M, Suszuki M (1996) Inflow and outflow boundary conditions for direct numerical simulations. JSME Int J, Ser B 39(2):305–314.

    CrossRef  Google Scholar 

  3. Akselvoll K, Moin P (1996) Large-eddy simulation of turbulent confined coannular jets. J Fluid Mech 315(-1):387–411. ISSN 00221120

  4. Dai Y, Kobayashi T, Taniguchi N (1994) Large eddy simulation of plane turbulent jet flow using a new outflow velocity boundary condition. JSME Int J Ser B 37(2):242–253. ISSN 1340-8054

  5. Craske J, van Reeuwijk M (2013) Robust and accurate open boundary conditions for incompressible turbulent jets and plumes. Comput Fluids 86:284–297. ISSN 00457930

  6. Orlanski I (1976) A simple boundary condition for unbounded hyperbolic flows. J Comput Phys 21(3):251–269. ISSN 0021-9991

  7. Chapman DC (1985) Numerical treatment of cross-shelf open boundaries in a barotropic coastal ocean model. J Phys Oceanogr 15(8):1060–1075.<1060:ntocso>;2. ISSN 00223670

  8. Pope SB (2000) Turbulent flows. Cambridge University Press, Cambridge

    CrossRef  Google Scholar 

  9. Bendiks JB (2000) Entrainment boundary conditions for free shear flows. Int J Comput Fluid Dyn 13(4):357–363. ISSN 10618562

  10. Stanley SA, Sarkar S, Mellado JP (2002) A study of the flow-field evolution and mixing in a planar turbulent jet using direct numerical simulation. J Fluid Mech 450:377–407. ISSN 0022-1120

  11. Watanabe T, Sakai Y, Nagata K, Ito Y, Hayase T (2014) Enstrophy and passive scalar transport near the turbulent/non-turbulent interface in a turbulent planar jet flow. Phys Fluids 26(10). ISSN 10897666

  12. Heskestad G (1964) Hot-wire measurements in a plane turbulent jet. J Appl Mech Trans ASME 32(4):721–734. ISSN 15289036

  13. Flora James J, Goldschmidt Victor W (1969) Virtual origins of a free plane turbulent jet. AIAA J 7(12):2344–2346. ISSN 00011452

  14. Miller David R, Comings Edward W (1957) Static pressure distribution in the free turbulent jet. J Fluid Mech 3(1):1–16. ISSN 14697645

  15. Thomas FO, Chu HC (1989) An experimental investigation of the transition of a planar jet: subharmonic suppression and upstream feedback. Phys Fluids A 1(9):1566–1587. ISSN 08998213

  16. Dejoan A, Leschziner MA (2005) Large eddy simulation of a plane turbulent wall jet. Phys Fluids 17(2):1–16. ISSN 10706631

  17. Kakka P, Anupindi K (2020) Assessment of subgrid-scale models for large-eddy simulation of a planar turbulent wall-jet with heat transfer. Int J Heat Mass Transf 153:119593. ISSN 00179310

  18. Manhart M (2004) A zonal grid algorithm for DNS of turbulent boundary layers. Comput Fluids 33(3):435–461. ISSN 00457930

  19. Klein M, Sadiki A, Janicka J (2003) Investigation of the influence of the Reynolds number on a plane jet using direct numerical simulation. Int J Heat Fluid Flow 24(6):785–794. ISSN 0142727X

  20. Grötzbach G (1983) Spatial resolution requirements for direct numerical simulation of the Rayleigh-Bénard convection. J Comput Phys 49(2):241–264. ISSN 10902716

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Charles, P., Narasimhamurthy, V.D. (2022). Evaluation of Outflow Boundary Conditions in DNS of Turbulent Jet Flows. In: Tadepalli, T., Narayanamurthy, V. (eds) Recent Advances in Applied Mechanics. Lecture Notes in Mechanical Engineering. Springer, Singapore.

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-9538-4

  • Online ISBN: 978-981-16-9539-1

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