On Low Mach Number Preconditioning of Finite Volume Schemes |
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Authors: | Philipp Birken Andreas Meister |
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Institution: | University of Kassel, Group for Analysis and Applied Mathematics, Heinrich-Plett-Str. 40, 34132 Kassel |
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Abstract: | A finite volume method for inviscid unsteady flows at low Mach numbers is studied. The method uses a preconditioning of the dissipation term within the numerical flux function only. It can be observed by numerical experiments, as well as by analysis, that the preconditioned scheme yields a physically corrected pressure distribution and combined with an explicit time integrator it is stable if the time step Δt satisfies the requirement to be 𝒪(M 2) as the Mach number M tends to zero, whereas the corresponding standard method remains stable up to Δt = 𝒪(M ),M → 0, though producing unphysical results. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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