caa a22 4500 606167161 CHVBK 20210128100701.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10665-014-9765-7 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9765-7 Asymptotic analysis of Rayleigh-Taylor flow for Newtonian miscible fluids [Elektronische Daten] [N. Schneider, S. Gauthier] Asymptotic analysis is used to derive anelastic, quasi-isobaric, and Boussinesq approximations for Rayleigh-Taylor induced flow between Newtonian fluids. The anelastic approximation appears to be valid for slightly stratified equilibrium states, but the analysis does not provide bounds on the Atwood number. The quasi-isobaric model is valid for unstratified equilibrium states without bounds on the Atwood number, while the Boussinesq approximation is a restriction of the quasi-isobaric model for vanishing Atwood numbers. These three models are consistently derived from first principles within the same framework, and they greatly facilitate investigations - including some compressibility effects - of Rayleigh-Taylor flow. Springer Science+Business Media Dordrecht, 2015 Anelastic, quasi-isobaric, and Boussinesq approximations nationallicence Asymptotic analysis nationallicence Rayleigh-Taylor instability nationallicence Schneider N. CEA, DAM, DIF, 91297, Arpajon, France aut Gauthier S. CEA, DAM, DIF, 91297, Arpajon, France aut Journal of Engineering Mathematics Springer Netherlands 92/1(2015-06-01), 55-71 0022-0833 92:1<55 2015 92 10665 https://doi.org/10.1007/s10665-014-9765-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9765-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Schneider N. CEA, DAM, DIF, 91297, Arpajon, France aut NATIONALLICENCE 700 1- Gauthier S. CEA, DAM, DIF, 91297, Arpajon, France aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 92/1(2015-06-01), 55-71 0022-0833 92:1<55 2015 92 10665