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Low-Mach consistency of a class of linearly implicit schemes for the compressible Euler equations. (English) Zbl 07447611

Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21–26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 69-78 (2021).
The authors deal with asymptotic consistency of a class of linearly implicit schemes for the compressible Euler equations. This class contains, for instance, the Dolejší-Feistauer-Kučera scheme. It is proved that the obtained solution converges to the solution of the incompressible Euler equations as the reference Mach number tends to zero.
For the entire collection see [Zbl 1466.65003].
Reviewer: Michal Krizek

MSC:

76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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