2021/02/11 by Maurice Rossi, Rossi, Maurice, Daniel Fuster +1
Engineering · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Heat Transfer #Fluid Dynamics and Turbulent Flows #Particle Dynamics in Fluid Flows
paper · pdf · doi:10.48550/arxiv.2102.05878
openalex publication_date 2021/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This work revisits the production of vorticity at an interface separating two immiscible incompressible fluids. A new decomposition of the vorticity flux is proposed in a two-dimensional context which allows to compute explicitly such a quantity in terms of surface tension σ, viscosity μ and gravity g. This approach is then applied in the context of gravito-capillary waves. It leads to analytical results already known but from a new perspective, provides some quantitative predictions at short time that can be a good test for numerical codes. Finally it is a mean to obtain a qualitative understanding of direct numerical simulation results.