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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© 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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