Capturing the behavior of bubbles and drops using the variational level set approach
Journal of Computational Physics
An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
Journal of Computational Physics
A boundary condition capturing method for Poisson's equation on irregular domains
Journal of Computational Physics
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
The immersed interface method for the Navier-Stokes equations with singular forces
Journal of Computational Physics
Numerical simulation of moving contact line problems using a volume-of-fluid method
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Sharp interface Cartesian grid method III: Solidification of pure materials and binary solutions
Journal of Computational Physics
Sharp interface tracking using the phase-field equation
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
A fast variational framework for accurate solid-fluid coupling
ACM SIGGRAPH 2007 papers
Modeling the interaction of biological cells with a solidifying interface
Journal of Computational Physics
Journal of Computational Physics
International Journal of Computational Fluid Dynamics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
A conservative level set method for contact line dynamics
Journal of Computational Physics
Sharp interface immersed-boundary/level-set method for wave-body interactions
Journal of Computational Physics
Numerical simulation of static and sliding drop with contact angle hysteresis
Journal of Computational Physics
A non-conforming monolithic finite element method for problems of coupled mechanics
Journal of Computational Physics
SIAM Journal on Scientific Computing
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
Hi-index | 31.51 |
A fixed-grid, sharp interface method is developed to simulate droplet impact and spreading on surfaces of arbitrary shape. A finite-difference technique is used to discretize the incompressible Navier-Stokes equations on a Cartesian grid. To compute flow around embedded solid boundaries, a previously developed sharp interface method for solid immersed boundaries is used. The ghost fluid method (GFM) is used for fluid-fluid interfaces. The model accounts for the effects of discontinuities such as density and viscosity jumps and singular sources such as surface tension in both bubble and droplet simulations. With a level-set representation of the propagating interface, large deformations of the boundary can be handled easily. The model successfully captures the essential features of interactions between fluid-fluid and solid-fluid phases during impact and spreading. Moving contact lines are modeled with contact angle hysteresis and contact line motion on non-planar surfaces is computed. Experimental observations and other simulation results are used to validate the calculations.