A front-tracking/front-capturing method for the simulation of 3D multi-fluid flows with free surfaces

Fast and robust solvers for pressure-correction in bubbly flow problems

“…A non-unique solution, x, always exists, because the linear system (6) is consistent due to (7). However, extra care should be taken in the implementation of the methods we compare.…”

“…Computation of two-phase flows and, in particular, bubbly flows is a very active research topic in computational fluid dynamics (CFD), see, for instance, [7,12,37,[44][45][46][47] and, more recently, [17,23,35,38]. Understanding the dynamics and interaction of bubbles and droplets in a large variety of industrial processes is crucial for economically and ecologically optimized design.…”

Free-surface flows under impacting droplets

“…Gueyffer et al (Gueyffier et al , 1999) proposed an interface tracking technique based on a combination of VOF and PLIC (piece-wise linear interface calculation) for computing droplet sedimentation and rising bubbles and the jetting process during the drop impacts on a thin liquid film (Jeoung and Moffat , 1992). A front tracking method Tryggvason , 1998, 1999) has also been used to capture and reconstruct a sharp interface in bubble flows and splashing droplets (Sousa et al , 2004). The level-set method (Osher and Sethian , 1988) is one of the most powerful technique available to determine implicit surfaces within a fixed grid system and has many applications for two-phase flows with complicated shapes of interfaces (e.g.…”

Fast Deflation Methods with Applications to Two-Phase Flows

“…Computation of two-phase flows, and in particular bubbly flows, is currently a very active research topic in computational fluid dynamics (CFD), see for instance [1,2,6,13,19,20].…”