... 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...

... Publishing Limited 2018 Emerald Publishing Limited Licensed re-use rights only Fluid-structure interaction Vortex-in-cell method Fish swimming Moving body Penalization method Vortex methods (VM) are advantageous to model vortical flows. Over the years, they have attracted much research...

... Pressure Poisson equation Vortex-in-cell method Over the past few decades, several kinds of fast methods for solving Poisson equations on uniform grids have been proposed, such as multigrid methods, iterative/relaxation methods and direct methods based on Fourier transforms. Direct methods, which...

... number incompressible flow Lid-driven cavity flow Numerical stability Semi-Lagrangian scheme Vortex-In-Cell method National Natural Science Foundation 51576148 Vortex methods are based on the discrete vorticity field and the Lagrangian description of the Navier–Stokes equation...