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A low Mach correction able to deal with low Mach acoustics

Abstract : This article deals with acoustic computations in low Mach number flows with density based solvers. For ensuring a good resolution of the low Mach number base flow, a scheme able to deal with stationary low Mach number flows is necessary. Previously proposed low Mach number fixes are tested with acoustic computations. Numerical results prove that they are not accurate for acoustic computations. The issues raised with acoustic computations with low Mach number fixes are discussed, and a new scheme is developed, in order to be accurate not only for steady low Mach number flows, but also for acoustic computations. Numerical tests show the improvement of the proposed scheme with respect to the state of the art.
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Submitted on : Wednesday, December 12, 2018 - 10:30:52 PM
Last modification on : Monday, February 28, 2022 - 5:22:02 PM
Long-term archiving on: : Wednesday, March 13, 2019 - 4:19:33 PM

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Pascal Bruel, Simon Delmas, Jonathan Jung, Vincent Perrier. A low Mach correction able to deal with low Mach acoustics. Journal of Computational Physics, Elsevier, 2019, 378, pp.723-759. ⟨10.1016/j.jcp.2018.11.020⟩. ⟨hal-01953424⟩

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