Mathematical and numerical modeling of two-phase flows
Résumé
This special issue of IJFV gathers some invited contributions that are devoted to the mathematical and numerical and physical modeling of two-phase flows. This topic is a motivating and thriving research area, with numerous industrial applications including, among others, the prediction of fluid flows in turbines, pressurized water reactors, and steam generators, the estimation of cavitation damaging, the computation of gas-liquid flows in pipelines and reservoirs, The range covered by the current papers is rather wide, since it includes the modeling of homogeneous models in variable cross-section ducts, with emphasis on equations of state and boundary conditions, the coupling of fluid flows with an elastic solid, and also the accurate simulation of shock-bubble interactions ; two papers give focus on the mathematical and numerical analysis of gradient schemes for the Stefan problem, and on the convergence of a specific scheme when investigating two-phase flows using the Darcy approach and general meshes. We thank all authors for their valuable contributions, and also all referees for their difficult and necessary work, and we hope that readers will appreciate this first special volume of IJFV.