We perform a multiple time scale, single space scale analysis of a compressible fluid in a time-dependent domain, when the time variations of the boudary are small with respect to the acoustic velocity. We introduce an average operator with respect to the fast time. The averaged leading order variables satisfy modified incompressible equations, which are coupled to linear acoustic equations with respect to the fast time.
Compressible flows in time-dependent domains: zero Mach number limit
ALI', Giuseppe
2002-01-01
Abstract
We perform a multiple time scale, single space scale analysis of a compressible fluid in a time-dependent domain, when the time variations of the boudary are small with respect to the acoustic velocity. We introduce an average operator with respect to the fast time. The averaged leading order variables satisfy modified incompressible equations, which are coupled to linear acoustic equations with respect to the fast time.File in questo prodotto:
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