... a circular cylinder was numerically simulated using a semi-Lagrangian–Lagrangian method composed of a vortex-in-cell method for the liquid phase and a Lagrangian description of the gas phase. Additionally, a penalization method was applied to account for the cylinder inside the flow. The slip condition...

.... They rise under the buoyant force, forming a plume. A vortex ring is launched vertically upward into the bubble plume. The interactions between the vortex ring and the bubble plume are numerically simulated using a semi-Lagrangian–Lagrangian approach composed of a vortex-in-cell method for the fluid phase...

... is composed of a vortex-in-cell method for the liquid phase and a Lagrangian description of the gas phase. Findings First, a new phenomenon of fluid dynamics was discovered. The bubbly flow enters a transition state with the meandering motion of the bubble plume after the early stable stage. A vortex...

... Vortex-in-cell method Fish swimming Moving body Penalization method The aforementioned VIC method is incorporated with the penalization scheme. With this, the FSI can be readily represented, and the complex flow past the solid bodies of moving/deforming boundaries can be subsequently modeled...

... Conservative vector field Far-field boundary condition Green’s function Penalization method Pressure Poisson equation Vortex-in-cell method The vortex-in-cell method (Christiansen, 1973 ; Uchiyama et al., 2013 ; Wang et al., 2017) combined with the penalization technique (Angot...

... depicted, and it shows that the developed method is suited for simulating the flow transition phenomenon. High-Reynolds number incompressible flow Lid-driven cavity flow Numerical stability Semi-Lagrangian scheme Vortex-In-Cell method National Natural Science Foundation 51576148...