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Computational Modelling of Complex 3D Flows with Second-Moment Closure Coupled to Low-Re Near-Wall Models

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Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NONUFM,volume 49))

Summary

The paper exposes some facets of computational research undertaken at UMIST over the past few years, directed towards the use of second-moment closure for predicting physically and geometrically complex 3D flows. The modelling foundation and the numerical framework are summarised, and a selection of solutions is presented for several 3D flows, one of which is transonic. The solutions demonstrate that turbulence modelling is an influential element in the prediction of complex 3D flows and that reverting from eddy-viscosity models to second-moment closure can have a significant impact, at modest additional costs, not only on turbulence quantities but also on mean-flow features.

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References

  • ABBOTT, W.A., AND WHITE, D.R., “The effect of nozzle pressure ratio on the fountain formed between two impinging jets”, RAE Technical Memorandum P1166, (1989).

    Google Scholar 

  • CRAFT, T.J. AND LAUNDER, B.E., AIAA Journal, 30 (1992), p. 2970.

    Article  Google Scholar 

  • DALY, B.J. AND HARLOW, F.H., Phys. of Fluids, 33 (1970), p. 1.

    Google Scholar 

  • DAVIS, D.O. AND GESSNER, F., “Experimental investigation of turbulent flow through a circular-to-rectangular duct”, AIAA Paper 90-1505, (1990).

    Google Scholar 

  • FU, S., LAUNDER, B.E. AND TSELEPIDAKIS, D.P., “Accommodating the effects of high strain rates in modelling the pressure-strain correlation”, Report TFD/87/5, UMIST, Dept. Mech. Eng. Thermofluids Div., 1987.

    Google Scholar 

  • GIBSON, M.M. AND LAUNDER, B.E., J. Fluid Mech., 86 (1978), p. 491.

    Article  MATH  Google Scholar 

  • HAROUTUNIAN, V., INCE, N. AND LAUNDER, B.E., “A new proposal for the ε-equation”, Proc. 3rd Colloquium on CFD, UMIST, Manchester (1988), p. 1.3.

    Google Scholar 

  • HANJALIC, K., “Advanced turbulence closure models — A view of current status and future prospects — Report LSTM 378/T/93, University of Erlangen-Nuernberg, 1993.

    Google Scholar 

  • HUANG, P.G. AND LESCHZINER, M.A., “Stabilization of recirculating flow computations performed with second-moment closure and third-order discretization”, Proc. 5th Symp. on Turbulent Shear Flows, Cornel University, (1985), p. 20.7.

    Google Scholar 

  • INCE, N.Z. AND LESCHZINER, M.A., “Calculation of single and multiple jets in cross-flow with and without impingement using Reynolds-stress transport closure”, Paper 23, AGARD Symp. on Computation and Experimental Assessment of jets in Cross-Flow, Winchester (1993a).

    Google Scholar 

  • INCE, N.Z. AND LESCHZINER, M.A., “Second-moment modelling of incompressible impinging twin-jets with and without cross-flow”, Proc. 5th Int. IAHR Symp. on Refined Flow Modelling and Turbulent Measurements, Paris (1993b), p. 39.

    Google Scholar 

  • INCE, N.Z., PAGE, G.I. AND M.A. LESCHZINER, “Second-moment modelling of subsonic and transonic impinging twin jets”, Proc. 1993 European Forum on Recent Developments and Applications in Aeronautical CFD (1993c), p. 18.1.

    Google Scholar 

  • LESCHZINER M.A. AND INCE, N.Z. “Computational Modelling of three-dimensional jets with and without cross-flow using second-moment closure”, Computers and Fluids, 1995, (in press).

    Google Scholar 

  • LAUNDER, B.E. AND TSELEPIDAKIS, D., “Directions in second-moment modelling of near-wall turbulence”, Paper AIAA 91-0219, 29th Aerospace Sciences Meeting, 1991.

    Google Scholar 

  • LEONARD, B.P., Comp. Meth. Appl. Mech. Eng., 19, (1979), p. 59.

    Article  MATH  Google Scholar 

  • KOUTMOS, P., “An isothermal study of gas turbine flows”, PhD Thesis, Unviersity of London (1985).

    Google Scholar 

  • KREPLIN, H.-P., Vollmers, H. Meier, H.U. and Kühn, A., “Measured mean velocity field around a 1:6 prolate spheroid at various cross sections”, DLR Report (1985).

    Google Scholar 

  • LESCHZINER, M.A., J. of Wind Engineering and Industrial Aerodynamics, 35 (1990), p. 21.

    Article  Google Scholar 

  • LESCHZINER, M. A., “Refined turbulence modelling for engineering flow”, in Computational Fluid Dynamics, Wiley, (1994), p. 33.

    Google Scholar 

  • LESCHZINER, M.A., “Computation of aerodynamic flows with turbulence-transport models based on second-moment closure”, to be published in Computers and Fluids (1995).

    Google Scholar 

  • LIEN, F-S. AND LESCHZINER, M.A., ASME J. Fluids Engg., 115 (1993a), p. 717.

    Article  Google Scholar 

  • LIEN, F.S. AND LESCHZINER, M.A., “Modelling the flow in a transition duct with a non-orthogonal FV procedure and low-Re turbulence-transport models”, ASME Summer Meeting, Symposium on Advances in CMFD (1994a).

    Google Scholar 

  • LIEN, F.S. AND LESCHZINER, M.A., Comp. Meth. Appl. Mech. Eng., 114 (1994b), p. 123 and p. 149.

    Article  MathSciNet  Google Scholar 

  • LIEN, F.S. AND LESCHZINER, M.A., Int. J. Num. Meth. Fluids, 19 (1994c), p. 527.

    Article  MATH  Google Scholar 

  • LIEN, F.S. AND LESCHZINER, M.A., “Computational modelling of turbulent aerodynamic flows within the ECARP Programme using anisotropy-resolving closures”, Report TFD/95/7, Dept Mechanical Engineering, UMIST (1995a).

    Google Scholar 

  • LIEN, F.S. AND LESCHZINER, M.A., “Second-moment closure for three-dimensional turbulent flow around and within complex geometries”, Report TFD/95/01, Dept. Mech. Eng., UMIST, Accepted for publication in Computers and Fluids (1995b).

    Google Scholar 

  • LIEN, F.S. AND LESCHZINER, M.A. “Computational modelling of multiple vortical separation from streamlined bodies at high incidence”, Proc. Symp. on Turbulent Shear Flows, Pennstate (1995c), p. 4–19.

    Google Scholar 

  • LIN, C.A., “Computation of three-dimensional jet-injection processes with second-moment closure”, PhD. Thesis, University of Manchester (1990).

    Google Scholar 

  • LIN, C.A. AND LESCHZINER, M.A. “Computation of three-dimensional injection into swirling flow with second-moment closure”, Proc. 6th Int Conf. on Numerical Methods in Laminar and Turbulent Flows, Swansea (1989), p. 1711.

    Google Scholar 

  • MEIER, H.U., KREPLIN, H.P., LANDHAUSER, A. AND BAUMGARTEN, D., “Mean velocity distribution in 3D boundary layers developing on a 1:6 prolate spheroid with artificial transition”, DFVLR Report IB 222-84 A11 (1984)

    Google Scholar 

  • RHIE, C.M. AND CHOW, W.L., J. AIAA, 21 (1983), p. 1525.

    Article  MATH  Google Scholar 

  • SARIPALLI, K.R., Turbulent Shear Flows 5, Springer (1987), p. 146.

    Google Scholar 

  • WOLFSHTEIN, M., “The velocity and temperature distribution in one-dimensional flow with turbulence augmentation and pressure gradient”, Int. Journal of Heat and Mass Transfer, 12, 1969, pp. 301–312.

    Article  Google Scholar 

  • ZHU, J. AND LESCHZINER. M.A., Comp. Meths.-Appl. Mech. Engng., 67, (1988), p. 355.

    Article  MATH  Google Scholar 

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Michel Deville Spyros Gavrilakis Inge L. Ryhming

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© 1996 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

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Leschziner, M.A., Lien, F.S., Ince, N., Lin, C.A. (1996). Computational Modelling of Complex 3D Flows with Second-Moment Closure Coupled to Low-Re Near-Wall Models. In: Deville, M., Gavrilakis, S., Ryhming, I.L. (eds) Computation of Three-Dimensional Complex Flows. Notes on Numerical Fluid Mechanics (NNFM), vol 49. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-89838-8_20

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  • DOI: https://doi.org/10.1007/978-3-322-89838-8_20

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-89840-1

  • Online ISBN: 978-3-322-89838-8

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