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Momentum interpolation for quasi one-dimensional unsteady low Mach number flows with acoustics

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Abstract
A Rhie-Chow based algorithm for quasi 1-D sound propagation in a low Mach number mean flow is described. It is shown that the proposed Rhie-Chow interpolation method preserves the linear wave equation at first order, giving confidence in its ability to properly simulate flows that feature simultaneously acoustic waves and low Mach number convection.
Keywords
Acoustics, Low-Mach number flows, Godunov-type schemes, Rhie-Chow interpolation, Momentum interpolation, Quasi one-dimensional flows

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Citation

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MLA
Moguen, Yann, Stéphane Dellacherie, Pascal Bruel, et al. “Momentum Interpolation for Quasi One-dimensional Unsteady Low Mach Number Flows with Acoustics.” Eleventh World Congress on Computational Mechanics, Proceedings. Ed. Eugenio Onate, Xavier Oliver, & Antonio Huerta. Barcelona, Spain: CIMNE, 2014. 4916–4929. Print.
APA
Moguen, Y., Dellacherie, S., Bruel, P., & Dick, E. (2014). Momentum interpolation for quasi one-dimensional unsteady low Mach number flows with acoustics. In Eugenio Onate, X. Oliver, & A. Huerta (Eds.), Eleventh World Congress on Computational Mechanics, Proceedings (pp. 4916–4929). Presented at the Eleventh World Congress on Computational Mechanics, Barcelona, Spain: CIMNE.
Chicago author-date
Moguen, Yann, Stéphane Dellacherie, Pascal Bruel, and Erik Dick. 2014. “Momentum Interpolation for Quasi One-dimensional Unsteady Low Mach Number Flows with Acoustics.” In Eleventh World Congress on Computational Mechanics, Proceedings, ed. Eugenio Onate, Xavier Oliver, and Antonio Huerta, 4916–4929. Barcelona, Spain: CIMNE.
Chicago author-date (all authors)
Moguen, Yann, Stéphane Dellacherie, Pascal Bruel, and Erik Dick. 2014. “Momentum Interpolation for Quasi One-dimensional Unsteady Low Mach Number Flows with Acoustics.” In Eleventh World Congress on Computational Mechanics, Proceedings, ed. Eugenio Onate, Xavier Oliver, and Antonio Huerta, 4916–4929. Barcelona, Spain: CIMNE.
Vancouver
1.
Moguen Y, Dellacherie S, Bruel P, Dick E. Momentum interpolation for quasi one-dimensional unsteady low Mach number flows with acoustics. In: Onate E, Oliver X, Huerta A, editors. Eleventh World Congress on Computational Mechanics, Proceedings. Barcelona, Spain: CIMNE; 2014. p. 4916–29.
IEEE
[1]
Y. Moguen, S. Dellacherie, P. Bruel, and E. Dick, “Momentum interpolation for quasi one-dimensional unsteady low Mach number flows with acoustics,” in Eleventh World Congress on Computational Mechanics, Proceedings, Barcelona, Spain, 2014, pp. 4916–4929.
@inproceedings{5710189,
  abstract     = {A Rhie-Chow based algorithm for quasi 1-D sound propagation in a low Mach number mean flow is described. It is shown that the proposed Rhie-Chow interpolation method preserves the linear wave equation at first order, giving confidence in its ability to properly simulate flows that feature simultaneously acoustic waves and low Mach number convection.},
  author       = {Moguen, Yann and Dellacherie, Stéphane and Bruel, Pascal and Dick, Erik},
  booktitle    = {Eleventh World Congress on Computational Mechanics, Proceedings},
  editor       = {Onate, Eugenio and Oliver, Xavier and Huerta, Antonio},
  isbn         = {9788494284472},
  keywords     = {Acoustics,Low-Mach number flows,Godunov-type schemes,Rhie-Chow interpolation,Momentum interpolation,Quasi one-dimensional flows},
  language     = {eng},
  location     = {Barcelona, Spain},
  pages        = {4916--4929},
  publisher    = {CIMNE},
  title        = {Momentum interpolation for quasi one-dimensional unsteady low Mach number flows with acoustics},
  year         = {2014},
}