Orateur
Hamed Zakerzadeh
(RWTH Aachen, Germany)
Description
In the present work, we show that the Lagrange--projection scheme
presented in Coquel et al.'s paper (Math. of Comp. \textbf{79}.271 (2010):
1493--1533), is asymptotic preserving for isentropic Euler equations, i.e.
at the discrete level it preserves the incompressible limit, satisfies the
$div$-free condition as well as the asymptotic expansion for the density
in the continuous level. Moreover, we prove that the scheme is
positivity-preserving, $L_{\infty}$-stable and entropy-admissible under
some Mach-uniform restrictions. The analysis is similar to what has been
presented in the original paper, but with the emphasis on the uniformity
regarding the Mach number.
