Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
FLAIR: fluz line-segment model for advection and interface reconstruction
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
GENSMAC: a computational marker and cell method for free surface flows in general domains
Journal of Computational Physics
Velocity boundary conditions for the simulation of free surface fluid flow
Journal of Computational Physics
A front-tracking method for dendritic solidification
Journal of Computational Physics
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
Journal of Computational Physics
Journal of Computational Physics
A fixed grid method for capturing the motion of self-intersecting wavefronts and related PDEs
Journal of Computational Physics
The point-set method: front-tracking without connectivity
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Calculating three-dimensional free surface flows in the vicinity of submerged and exposed structures
Journal of Computational Physics
A second-order boundary-fitted projection method for free-surface flow computations
Journal of Computational Physics
Mathematics and Computers in Simulation
Journal of Computational Physics
Hi-index | 31.46 |
A new method is presented for the simulation of three-dimensional, incompressible, free surface fluid flow problems. The new technique, the Eulerian-Lagrangian marker and micro cell (ELMMC) method, is capable of simulating incompressible fluid flow problems in Cartesian coordinates where the free surface can undergo severe deformations, including impact with solid boundaries and impact between converging fluid fronts. The method is also capable of handling the breakup of a fluid front from the main body of the fluid as well as their eventual coalescence. The basic solution methodology solves the continuity and the Navier-Stokes equations with a projection scheme and is even able to incorporate a basic k-@e turbulence modeling capability. New approaches are presented for the advection of the free surface, as well as for the calculation of the tentative velocity, final velocity, and pressure fields. The capabilities of the new method are demonstrated by comparing numerical results with experimental studies while the convergence of the new method is demonstrated by spatial and temporal refinement studies.