On Low Mach Number Preconditioning of Finite Volume Schemes
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 physicall...
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| Veröffentlicht in: | PAMM 2005-12, Vol.5 (1), p.759-760 |
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| creator | Birken, Philipp Meister, Andreas |
| description | 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) |
| doi_str_mv | 10.1002/pamm.200510354 |
| format | Article |
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| source | Wiley Online Library Journals Frontfile Complete; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| title | On Low Mach Number Preconditioning of Finite Volume Schemes |
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