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Turbulent Cascades II pp 249–256Cite as

Interactions Between Turbulence and Interfaces with Surface Tension

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Part of the book series: ERCOFTAC Series ((ERCO,volume 26))

Abstract

Turbulence is a complex, multi-scale fluid process that can be strongly modified by the presence of multiple phases. In this work, we will discuss various aspects of the interaction between turbulence and interfaces with surface tension, as commonly encountered in liquid-gas flows. This study is based on a series of direct numerical simulations of homogeneous and isotropic turbulence in the presence of an initially flat interface that separates two fluids of equal densities and viscosities. This highly simplified flow configuration is selected as it isolates a critical aspect of turbulent liquid-gas flows and allows for deeper analysis. A second order numerical discretization that conserves mass, momentum, and kinetic energy is employed for all simulations. The scales of interface corrugation are presented, identifying the presence of a critical cutoff length scale below which surface tension suppresses interface deformation.

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References

  1. Fulgosi, M., Lakehal, D., Banerjee, S., De Angelis, V.: Direct numerical simulation of turbulence in a sheared airwater flow with a deformable interface. J. Fluid Mech. 482, 319–345 (2003)

    Article  Google Scholar 

  2. Reboux, S., Sagaut, P., Lakehal, D.: Large-eddy simulation of sheared interfacial flow. Phys. Fluids 18 (2006)

    Article  MathSciNet  Google Scholar 

  3. Trontin, P., Vincent, S., Estivalezes, J.L., Caltagirone, J.P.: Direct numerical simulation of a freely decaying turbulent interfacial flow. Int. J. Multiphase Flow 36 (2010)

    Article  Google Scholar 

  4. Osher, S., Sethian, J.: Front propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79, 12–49 (1988)

    Article  MathSciNet  Google Scholar 

  5. Sussman, M., Smereka, P., Osher, S.: A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114 (1994)

    Article  Google Scholar 

  6. Lundgren, T.S.: Linear forcing in numerical simulations of isotropic turbulence: physical space implementations and convergence properties. In: Center for Turbulence Research Annual Research Briefs, pp. 461–473 (2003)

    Google Scholar 

  7. Rosales, C., Meneveau, C.: Linear forcing in numerical simulations of isotropic turbulence: physical space implementations and convergence properties. Phys. Fluids 17 (2005)

    Article  MathSciNet  Google Scholar 

  8. Desjardins, O., Blanquart, G., Balarac, G., Pitsch, H.: High order conservative finite difference scheme for variable density low Mach number turbulent flows. J. Comput. Phys. 227(15), 7125–7159 (2008)

    Article  MathSciNet  Google Scholar 

  9. Desjardins, O., McCaslin, J., Owkes, M., Brady, P.: Direct numerical and large-Eddy simulation of primary atomization in complex geometries. Atom. Sprays 23(11), 1001–1048 (2013)

    Article  Google Scholar 

  10. Owkes, M., Desjardins, O.: A computational framework for conservative, three-dimensional, unsplit, geometric transport with application to the volume-of-fluid (VOF) method. J. Comput. Phys. 270, 587–612 (2014)

    Article  MathSciNet  Google Scholar 

  11. Pilliod, J.E., Puckett, E.G.: Second-order accurate volume-of-fluid algorithms for tracking material interfaces. J. Comput. Phys. 199(2), 465–502 (2004)

    Article  MathSciNet  Google Scholar 

  12. Scardovelli, R., Zaleski, S.: Analytical relations connecting linear interfaces and volume fractions in rectangular grids. J. Comput. Phys. 164(1), 228–237 (2000)

    Article  MathSciNet  Google Scholar 

  13. Fedkiw, R., Aslam, T., Merriman, B., Osher, S.: A non-oscillatory eulerian approach to interfaces in multimaterial flows (the ghost fluid method). J. Comput. Phys. 152(2), 457–492 (1999)

    Article  MathSciNet  Google Scholar 

  14. Marchandise, E., Geuzaine, P., Chevaugeon, N., Remacle, J.-F.: A stabilized finite element method using a discontinuous level set approach for the computation of bubble dynamics. J. Comput. Phys. 225(1), 949–974 (2007)

    Article  MathSciNet  Google Scholar 

  15. Lesieur, M., Rogallo, R.: Large-eddy simulation of passive scalar diffusion in isotropic turbulence. Phys. Fluids A Fluid Dyn. 1, 718–722 (1989)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Cornell University, Ithaca, USA

    R. Chiodi & O. Desjardins

  2. ANSYS Inc., Canonsburg, USA

    Jeremy McCaslin

Authors
  1. R. Chiodi
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  2. Jeremy McCaslin
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  3. O. Desjardins
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Corresponding author

Correspondence to O. Desjardins .

Editor information

Editors and Affiliations

  1. Laboratoire de Mécanique des Fluides et d’Acoustique CNRS, Université de Lyon, École centrale de Lyon, Écully, France

    Mikhael Gorokhovski

  2. Laboratoire de Mécanique des Fluides et d’Acoustique CNRS, Université de Lyon, École centrale de Lyon, Écully, France

    Fabien S. Godeferd

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Chiodi, R., McCaslin, J., Desjardins, O. (2019). Interactions Between Turbulence and Interfaces with Surface Tension. In: Gorokhovski, M., Godeferd, F. (eds) Turbulent Cascades II. ERCOFTAC Series, vol 26. Springer, Cham. https://doi.org/10.1007/978-3-030-12547-9_26

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  • DOI: https://doi.org/10.1007/978-3-030-12547-9_26

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-12546-2

  • Online ISBN: 978-3-030-12547-9

  • eBook Packages: EngineeringEngineering (R0)

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