Abstract
We have developed a method for the numerical computation of flows with arbitrarily small and medium Mach numbers. This method is accurate and efficient for Mach numbers ranging between 0 and O(1). The equations are nondimensionalised such that all quantities remain finite for all Mach numbers. Discretisation is done in general coordinates on a staggered grid, using an upwind-biased density evaluation when the local Mach number comes above 0.9. The system is solved iteratively with the pressure correction method. The discretisation and solution method become identical to the classical incompressible method [4] as the Mach number tends to zero. Mach number independent accuracy and convergence is confirmed by numerical experiments.
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Bijl, H., Wesseling, P. (1997). A Numerical Method for Computing Flows for Arbitrarily Small and Medium Mach Numbers. In: Fulachier, L., Lumley, J.L., Anselmet, F. (eds) IUTAM Symposium on Variable Density Low-Speed Turbulent Flows. Fluid Mechanics and Its Applications, vol 41. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5474-1_39
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DOI: https://doi.org/10.1007/978-94-011-5474-1_39
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6302-9
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