The extension of incompressible flow solvers to the weakly compressible regime

By Claus-Dieter Munz, S. Roller, Rupert Klein, K. Geratz. 2003

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All speed scheme for the low Mach number limit of the isentropic Euler equations (2009, background): “In the literature, lots of efforts have been made to find numerical schemes for the compressible equations that can also capture the zero Mach number limit [1, 6, 11, 24, 25].”
Asymptotic adaptive methods for multi-scale problems in fluid mechanics (2001, methodology): “Neglecting the viscous and heat conduction terms this decomposition may be called a hyperbolic-elliptic splitting and is motivated by the wave speed as mentioned above but also by the asymptotic analysis, see [2, 39].”