An existing phase-field model of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large set of physically relevant parameters. As a consequence, critical modifications to the model are suggested that substantially increase the domain of validity. Carefully designed numerical simulations offer informative demonstrations as to the sharpness of our theoretical results and the qualities of the physical model. A fully coupled hydrodynamic test-case demonstrates the potential to capture also non-trivial effects on the overall flow.
机构:
Univ Poitiers, Lab Math & Applicat, CNRS, UMR 7348,SP2MI, Chasseneuil, Futuroscope, France
Romanian Acad, Inst Math, Bucharest, Romania
Romanian Acad, Inst Stat & Appl Math, Bucharest, RomaniaCzech Acad Sci, Inst Math, Prague, Czech Republic
Petcu, Madalina
Prazak, Dalibor
论文数: 0引用数: 0
h-index: 0
机构:
Charles Univ Prague, Dept Math Anal, Sokolovska 83, CZ-18675 Prague, Czech RepublicCzech Acad Sci, Inst Math, Prague, Czech Republic
机构:
Hubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Hubei, Peoples R ChinaHubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Hubei, Peoples R China
Kou, Jisheng
Sun, Shuyu
论文数: 0引用数: 0
h-index: 0
机构:
King Abdullah Univ Sci & Technol, Div Phys Sci & Engn, Computat Transport Phenomena Lab, Thuwal 239556900, Saudi Arabia
Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R ChinaHubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Hubei, Peoples R China