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An algorithm for low Mach number unsteady flows

  • Compressible Flows
  • Conference paper
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Sixteenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 515))

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Abstract

An algorithm is proposed for the simulation of unsteady viscous compressible subsonic flows at low Mach number. The method is second-order accurate both in space and time. To remove the stiffness of the numerical problem due to the large disparity between the flow and the acoustic wave speeds, an adaptation of the artificial compressibility method is proposed in order to preserve the possibility to simulate standard subsonic applications. After a detailed description of the method, the scheme is applied to the unsteady incompressible numerical benchmark of the Poiseuille-Bénard channel flow in order to validate the possibility to simulate stratified flow without Boussinesq approximation. Next, the efficiency of the method, compared with Runge-Kutta (RK) scheme, is evaluated thanks to the advection of a Lamb vortex at reference Mach number, M o , 0.8 and 0.001.

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Author information

Authors and Affiliations

  1. Onera, 29 Avenue de la division Leclerc, BP 72, 92322, Châtillon cedex, France

    I. Mary, P. Sagaut & M. Deville

Authors
  1. I. Mary
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  2. P. Sagaut
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  3. M. Deville
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Editor information

Charles-Henri Bruneau

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© 1998 Springer-Verlag

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Mary, I., Sagaut, P., Deville, M. (1998). An algorithm for low Mach number unsteady flows. In: Bruneau, CH. (eds) Sixteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106600

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  • DOI: https://doi.org/10.1007/BFb0106600

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65153-6

  • Online ISBN: 978-3-540-49540-6

  • eBook Packages: Springer Book Archive

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