Semi-implicit characteristic-based boundary treatment for acoustics in low Mach number flows

Abstract : For low Mach number flow calculation, when acoustic waves have to be captured, semi-implicit methods allow to avoid the time-step limitation that arises when explicit schemes are used. A method is suggested to solve the boundary equations so that the semi-implicitness of the algorithm is maintained, as well as its pressure-velocity coupling. This method is studied theoretically and numerically, in the low Mach number regime. Partially non-reflective characteristic-based boundary conditions, with the linear relaxation form suggested by Rudy and Strikwerda, [J. Comput. Phys. 36 (1980) 55-70], are considered. It is shown that their properties, well known in the framework of explicit schemes, are recovered with the proposed semi-implicit treatment and an acoustic CFL number significantly larger than unity.
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Journal of Computational Physics, Elsevier, 2013, 255, pp.339-361. 〈10.1016/j.jcp.2013.08.019〉
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https://hal.inria.fr/hal-00929713
Contributeur : Pascal Bruel <>
Soumis le : lundi 13 janvier 2014 - 16:50:04
Dernière modification le : jeudi 11 janvier 2018 - 06:23:37

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Yann Moguen, Pascal Bruel, Erik Dick. Semi-implicit characteristic-based boundary treatment for acoustics in low Mach number flows. Journal of Computational Physics, Elsevier, 2013, 255, pp.339-361. 〈10.1016/j.jcp.2013.08.019〉. 〈hal-00929713〉

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