Averaged models for compressible two-phase stratified flows on thin domainsNicolas Seguin (ANGUS), Khaled Saleh (I2M, AMU), Pierrick Le Vourc'H (ANGUS)https://arxiv.org/abs/2506.08542
Averaged models for compressible two-phase stratified flows on thin domainsThis paper deals with the derivation of compressible two-phase flow models. We use a thin domain approximation of a two-layer configuration governed by the Navier-Stokes equations, following the works [H. B. Stewart and B. Wendroff, J. Comp. Phys., 56 (1984)] and [V. H. Ransom and D. L. Hicks, J. Comput. Phys., 75 (1988)]. In order to recover source terms and two-velocity models directly from this asymptotic analysis, we remove the continuity of the tangential component of the velocity at the i…