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Applications of direct numerical simulation to complex turbulent flows

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Turbulence Modeling and Vortex Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 491))

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Abstract

The technique of direct numerical simulation (DNS) is discussed with emphasis on application to complex turbulent flows. Several specific DNS schemes for time-integration of the governing three-dimensional Navier-Stokes equations are briefly described. The application of the methods reviewed here involve first the simulation of a spherical particle in a flat-plate boundary layer providing insight into the processes of bypass transition. Secondly, a turbulent square duct flow simulation has yielded a detailed understanding of the origins of secondary flow in a streamwise corner in addition to allowing direct assessment of turbulence models for such complex turbulent flows. Finally, the simulation of a supersonic turbulent wall-shear layer has allowed the evaluation of compressibility effects and has revealed the structure of compressible turbulence close to a wall.

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References

  • Berkooz G., Holmes P., Lumley J.L. (1993): The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows. Annual Review of Fluid Mechanics. 25, 539–575

    Article  ADS  MathSciNet  Google Scholar 

  • Biringen S., Laurien E. (1990): Nonlinear Structures of Transition in Wall-Bounded Flows. Applied Numerical Mathematics. 7, 129–150

    Article  Google Scholar 

  • Blackwelder R.F., Browand F.K., Fisher C., Tanaguichi P. (1992): Initiation of Turbulent Spots in a Laminar Boundary Layer by Rigid Particulates. Bulletin of the American Physical Society. 37, 1812

    Google Scholar 

  • Bradshaw P. (1975): Calculation Methods for Complex Flows. In Prediction Methods for Turbulent Flows. VKI LS 76

    Google Scholar 

  • Bradshaw P. (1977): Compressible Turbulent Shear Layers. Annual Review of Fluid Mechanics. 9, 33–54

    Article  ADS  Google Scholar 

  • Canuto C., Hussaini M.Y., Quarteroni A., Zang T.A. (1988): Spectral Methods in Fluid Dynamics. (Springer-Verlag, New York)

    MATH  Google Scholar 

  • Demuren A.O. (1990): Calculation of Turbulence-Driven Secondary Motion in Ducts with Arbitrary Cross-Section. AIAA Paper 90-0245

    Google Scholar 

  • Ferziger J.H., Perić M. (1996): Computational Methods for Fluid Dynamics. (Springer, Germany)

    MATH  Google Scholar 

  • Gavrilakis S. (1992): Numerical Simulation of Low Reynolds Number Turbulent Flow Through a Straight Square Duct. Journal of Fluid Mechanics. 244, 101–129

    Article  ADS  Google Scholar 

  • Ghosal S. (1995): Analysis of Discretization Errors in LES. Annual Research Briefs, CTR

    Google Scholar 

  • Goldstein D., Handler R., Sirovich L. (1993): Modeling a No-Slip Flow Boundary with an External Force Field. Journal of Computational Physics. 105, 354–366

    Article  MATH  ADS  Google Scholar 

  • Gottlieb D., Orszag S.A. (1977): Numerical Analysis of Spectral Methods: Theory and Applications. (SIAM-CBMS, Philadelphia)

    MATH  Google Scholar 

  • Gottlieb D., Turkel E. (1976): Dissipative Two-Four Methods for Time-Dependent Problems. Mathematics of Computation. 30(136), 703–723

    Article  MATH  MathSciNet  Google Scholar 

  • Harlow F.H., Welch J.E. (1965): Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface. Physics of Fluids. 8, 2182–2189

    Article  ADS  MATH  Google Scholar 

  • Härtel C. (1996): Turbulent Flows: Direct Simulation and Large-Eddy Simulation. In Handbook of Computational Fluid Mechanics (Ed. R. Peyret). (Academic Press, Great Britain)

    Google Scholar 

  • Hatay F.F. (1994): Direct Numerical Simulation of Transitional and Turbulent Wall-Shear Layers. Ph.D. Thesis, Department of Aerospace Engineering Sciences, University of Colorado, Boulder, Colorado

    Google Scholar 

  • Hatay F.F., Biringen S. (1995): Direct Numerical Simulation of a Compressible Turbulent Boundary Layer. AIAA Paper 95-0581

    Google Scholar 

  • Head M.R., Bandyopadhyay P. (1981): New Aspects of Turbulent Boundary-Layer Structure. Journal of Fluid Mechanics. 107, 297–338

    Article  ADS  Google Scholar 

  • Huser A. (1992): Direct Numerical Simulation of Turbulent Flow in a Square Duct. Ph.D. Thesis, Department of Aerospace Engineering Sciences, University of Colorado, Boulder, Colorado

    Google Scholar 

  • Huser A., Biringen S. (1993): Direct Numerical Simulation of Turbulent Flow in a Square Duct. Journal of Fluid Mechanics. 257, 65–95

    Article  MATH  ADS  Google Scholar 

  • Huser A., Biringen S., Hatay F.F. (1994): Direct Simulation of Turbulent Flow in a Square Duct: Reynolds-Stress Budgets. Physics of Fluids. 6(9), 3144–3152

    Article  MATH  ADS  Google Scholar 

  • Hussaini M.Y., Speziale C.G. (1990): The Potential and Limitations of Direct and Large Eddy Simulations. Comment 2. Lecture Notes in Physics. 357, 354–368

    Article  ADS  Google Scholar 

  • Jordinson R. (1970): The Flat Plate Boundary Layer. Part 1. Numerical Integration of the Orr-Sommerfeld Equation. Journal of Fluid Mechanics. 43, 801–811

    Article  MATH  ADS  Google Scholar 

  • Kasagi N., Shikazono N. (1995): Contribution of Direct Numerical Simulation to Understanding and Modeling Turbulent Transport. Proceedings of the Royal Society of London A. 451, 257

    Article  MATH  ADS  Google Scholar 

  • Kim J., Moin P., Moser R. (1987): Turbulence Statistics in Fully Developed Channel Flow at Low Reynolds Number. Journal of Fluid Mechanics. 177, 133–166

    Article  MATH  ADS  Google Scholar 

  • Kistler A.L. (1959): Fluctuation Measurements in a Supersonic Turbulent Boundary Layer. Physics of Fluids. 2, 290–296

    Article  MATH  ADS  Google Scholar 

  • Kleiser L., Zang T.A. (1991): Numerical Simulation of Transition in Wall-Bounded Shear Flows. Annual Review of Fluid Mechanics. 23, 495

    Article  ADS  Google Scholar 

  • Kovasnay L.S.G. (1970): The Turbulent Boundary Layer. Annual Review of Fluid Mechanics. 2, 95–112

    Article  ADS  Google Scholar 

  • Lesieur M., Metais O. (1996): New Trends in Large-Eddy Simulations of Turbulence. Annual Review of Fluid Mechanics. 28, 45

    Article  ADS  MathSciNet  Google Scholar 

  • Lumley J.L. (1970): Stochastic Tools in Turbulence. (Academic Press, New York)

    MATH  Google Scholar 

  • MacCormack R.W. (1969): The Effect of Viscosity in Hypervelocity Impact Cratering. AIAA Paper 69–354

    Google Scholar 

  • Madabhushi R.K., Vanka S.P. (1991): Large Eddy Simulation of Turbulence-Driven Secondary Flow in a Square Duct. Physics of Fluids A. 3, 2734–2745

    Article  MATH  ADS  Google Scholar 

  • Moin P., Carati D., Lund T., Ghosal S., Akselvoll K. (1994): Developments and Applications of Dynamic Models for Large-Eddy Simulation of Complex Flows. In Application of Direct and Large Eddy Simulation to Transition and Turbulence. Paper 1, AGARD CP 551

    Google Scholar 

  • Morkovin M.V. (1962): Effects of Compressibility on Turbulent Flows in Mechanique de la Turbulence (Centre National de la Recherche Scientifique, Paris) 367

    Google Scholar 

  • Orszag S.A. (1972): Comparison of Pseudospectral and Spectral Approximations. Studies in Applied Mathematics. 51, 253

    MATH  Google Scholar 

  • Perkins H.J. (1970): The Formation of Streamwise Vorticity in Turbulent Flow. Journal of Fluid Mechanics. 44, 721–740

    Article  MATH  ADS  Google Scholar 

  • Piomelli U. (1994): Large Eddy Simulation of Turbulent Flows. TAM Report No. 767, UILU-ENG-945-6023. University of Illinois, Champagne, Illinois

    Google Scholar 

  • Prandtl L. (1926): Uber die Ausgebildete Turbulenz. NACA Technical Memorandum. 435, 62

    Google Scholar 

  • Rai M.M., Moin P. (1991): Direct Numerical Simulation of Flow Using Finite Difference Schemes. Journal of Computational Physics. 96, 15–53

    Article  MATH  ADS  Google Scholar 

  • Reichert R.S., Hatay F.F., Biringen S., Huser A. (1994): Proper Orthogonal Decomposition Applied to Turbulent Flow in a Square Duct. Physics of Fluids. 6(9), 3086–3092

    Article  MATH  ADS  Google Scholar 

  • Reynolds W.C. (1990): The Potential and Limitations of Direct and Large Eddy Simulations. Lecture Notes in Physics. 357, 313–343

    Article  ADS  Google Scholar 

  • Robinson S.K. (1986): Space-Time Correlation Measurements in a Compressible Turbulent Boundary Layer. AIAA Paper 86–1130

    Google Scholar 

  • Rogallo R.S., Moin P. (1984): Numerical Simulation of Turbulent Flows. Annual Review of Fluid Mechanics. 16, 99–137

    Article  ADS  Google Scholar 

  • Saiki E.M. (1995): Spatial Numerical Simulation of Boundary Layer Transition: Effects of a Spherical Particle. Ph.D. Thesis, Department of Aerospace Engineering Sciences, University of Colorado, Boulder, Colorado

    Google Scholar 

  • Saiki E.M., Biringen S. (1997): Spatial Numerical Simulation of Boundary Layer Transition: Effects of a Spherical Particle. Submitted to Journal of Fluid Mechanics.

    Google Scholar 

  • Speziale C.G. (1987): On Nonlinear k-l and k-ε Models of Turbulence. Journal of Fluid Mechanics. 178, 459–475

    Article  MATH  ADS  Google Scholar 

  • Spina E.F., Donovan J.F., Smits A.J. (1991): On the Structure of High-Reynolds Number Supersonic Turbulent Boundary Layers. Journal of Fluid Mechanics. 222, 293–327

    Article  ADS  Google Scholar 

  • Streett C.L., Macaraeg M.G. (1989): Spectral Multi-Domain for Large-Scale Fluid Dynamic Simulations. Applied Numerical Mathematics. 6, 123–139

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Aerospace Engineering Sciences, University of Colorado, Campus Box 429, 80309-0429, Boulder, Colorado, USA

    Sedat Biringen & Robert S. Reichert

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  1. Sedat Biringen
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  2. Robert S. Reichert
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OluÅŸ Boratav Alp Eden Ayse Erzan

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© 1997 Springer-Verlag

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Biringen, S., Reichert, R.S. (1997). Applications of direct numerical simulation to complex turbulent flows. In: Boratav, O., Eden, A., Erzan, A. (eds) Turbulence Modeling and Vortex Dynamics. Lecture Notes in Physics, vol 491. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105037

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  • DOI: https://doi.org/10.1007/BFb0105037

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63051-7

  • Online ISBN: 978-3-540-69119-8

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