Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
Journal of Computational Physics
Numerical recipes in Fortran 90 (2nd ed.): the art of parallel scientific computing
Numerical recipes in Fortran 90 (2nd ed.): the art of parallel scientific computing
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
Journal of Computational Physics
The integrated space-time finite volume method and its application to moving boundary problems
Journal of Computational Physics
Direct simulations of 2D fluid-particle flows in biperiodic domains
Journal of Computational Physics
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
Journal of Computational Physics
An adaptive mesh redistribution method for the incompressible mixture flows using phase-field model
Journal of Computational Physics
Numerical simulation of the coupling problems of a solid sphere impacting on a liquid free surface
Mathematics and Computers in Simulation
Journal of Computational Physics
An arbitrary Lagrangian Eulerian method for three-phase flows with triple junction points
Journal of Computational Physics
Hi-index | 31.46 |
We develop an ALE (Arbitrary Lagrangian Eulerian) moving mesh method suitable for solving two-dimensional and axisymmetric moving-boundary problems, including the interaction between a free-surface and a solid structure. This method employs a body-fitted grid system where the gas-liquid interface and solid-liquid interface are lines of the grid system, and complicated dynamic boundary conditions are incorporated naturally and accurately in a Finite-Volume formulation. The resulting nonlinear system of mass and momentum conservation is then solved by a fractional step (projection) method. The method is validated on the uniform flow passing a cylinder (a two-dimensional flow with a solid structure) and several problems of bubble dynamics (axi-symmetrical flows with a free surface) for both steady and unsteady flows. Good agreement with other theoretical, numerical and experimental results is obtained. A further application is the investigation of a two-dimensional mechanical strider (a mass-spring system) interacting with a water surface, demonstrating the ability of the method in handling the interaction between a solid structure and a free surface. We find that the critical compression required to jump off the water surface varies linearly with spring constant for stiff springs and algebraically with exponent 0.7 for weak springs.