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Numerical Simulation of Breaking Gravity Waves

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Direct and Large-Eddy Simulation IX

Part of the book series: ERCOFTAC Series ((ERCO,volume 20))

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Abstract

Geophysical flows including stable stratification and system rotation are a special challenge for turbulence subgrid-sclae models for large-eddy simulation (LES) and hence require validation with suitable test cases. We validate different subgrid-scale models for this kind of flows using a breaking monochromatic inertia-gravity wave that has been studied before. We find that the standard Smagorinsky model cannot be recommended while the dynamic Smagorinsky model and the implicit turbulence model ALDM are suitable to simulate this complex flow with high accuracy.

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References

  1. Remmler, S., Fruman, M.D., Hickel, S.: Direct numerical simulation of a breaking inertiagravity wave. J. Fluid Mech. 722, 424–436 (2013)

    Article  MATH  MathSciNet  Google Scholar 

  2. Fruman, M.D., Achatz, U.: Secondary instabilities in breaking inertia-gravity waves. J. Atmos. Sci. 69, 303–322 (2012)

    Article  Google Scholar 

  3. Hickel, S., Adams, N.A., Domaradzki, J.A.: An adaptive local deconvolution method for implicit LES. J. Comput. Phys. 213, 413–436 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  4. Shu, C.-W.: Total-variation-diminishing time discretizations. SIAM J. Sci. Stat. Comput. 9(6), 1073–1084 (1988)

    Article  MATH  Google Scholar 

  5. Hickel, S., Adams, N.A.: A proposed simplification of the adaptive local deconvolution method. ESAIM 16, 66–76 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  6. Hickel, S., Kempe, T., Adams, N.A.: Implicit large-eddy simulation applied to turbulent channel flow with periodic constrictions. Theor. Comput. Fluid Dyn. 22, 227–242 (2008)

    Article  MATH  Google Scholar 

  7. Remmler, S., Hickel, S.: Spectral structure of stratified turbulence: direct numerical simulations and predictions by large eddy simulation. Theor. Comput. Fluid Dyn. 2012. doi:10.1007/s00162-012-0259-9

  8. Remmler, S., Hickel, S.: Direct and large eddy simulation of stratified turbulence. Int. J. Heat Fluid Flow 35, 13–24 (2012)

    Article  Google Scholar 

  9. Smagorinsky, J.: General circulation experiments with the primitive equations. I: The basic experiment. Mon. Wea. Rev. 91, 99–164 (1963)

    Google Scholar 

  10. Germano, M., Piomelli, U., Moin, P., Cabot, W.H.: A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3(7), 1760–1765 (1991)

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Aerodynamics and Fluid Mechanics, Technische Universität München, Munich, Germany

    S. Remmler & S. Hickel

  2. Institute of Atmosphere and Environment, Goethe-Universität Frankfurt, Frankfurt, Germany

    M. D. Fruman & U. Achatz

Authors
  1. S. Remmler
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  2. M. D. Fruman
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  3. U. Achatz
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  4. S. Hickel
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Corresponding author

Correspondence to S. Remmler .

Editor information

Editors and Affiliations

  1. Institut für Strömungsmechanik, Technische Universität Dresden, Dresden, Germany

    Jochen Fröhlich

  2. Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

    Hans Kuerten

  3. Faculty EEMCS, Multiscale Modeling and Simulation, University of Twente, Enschede, The Netherlands

    Bernard J. Geurts

  4. Dipartimento di Ingegneria Civile ed Ambientale, Università di Trieste, Trieste, Italy

    Vincenzo Armenio

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© 2015 Springer International Publishing Switzerland

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Remmler, S., Fruman, M.D., Achatz, U., Hickel, S. (2015). Numerical Simulation of Breaking Gravity Waves. In: Fröhlich, J., Kuerten, H., Geurts, B., Armenio, V. (eds) Direct and Large-Eddy Simulation IX. ERCOFTAC Series, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-319-14448-1_52

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  • DOI: https://doi.org/10.1007/978-3-319-14448-1_52

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-14447-4

  • Online ISBN: 978-3-319-14448-1

  • eBook Packages: EngineeringEngineering (R0)

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