Finite-difference simulation of breaking waves
Journal of Computational Physics
GENSMAC: a computational marker and cell method for free surface flows in general domains
Journal of Computational Physics
An arbitrary Lagrangian-Eulerian computing method for all flow speeds
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A one-cell local multigrid method for solving unsteady incompressible multiphase flows
Journal of Computational Physics
Accurate projection methods for the incompressible Navier—Stokes equations
Journal of Computational Physics
A boundary condition capturing method for incompressible flame discontinuities
Journal of Computational Physics
A moving unstructured staggered mesh method for the simulation of incompressible free-surface flows
Journal of Computational Physics
A new class of truly consistent splitting schemes for incompressible flows
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A second-order boundary-fitted projection method for free-surface flow computations
Journal of Computational Physics
Accurate viscous free surfaces for buckling, coiling, and rotating liquids
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
ACM SIGGRAPH 2010 papers
A note on the eigenvalues of a special class of matrices
Journal of Computational and Applied Mathematics
Hi-index | 31.46 |
This paper describes the development of an implicit finite difference method for solving transient three-dimensional incompressible free surface flows. To reduce the CPU time of explicit low-Reynolds number calculations, we have combined a projection method with an implicit technique for treating the pressure on the free surface. The projection method is employed to uncouple the velocity and the pressure fields, allowing each variable to be solved separately. We employ the normal stress condition on the free surface to derive an implicit technique for calculating the pressure at the free surface. Numerical results demonstrate that this modification is essential for the construction of methods that are more stable than those provided by discretizing the free surface explicitly. In addition, we show that the proposed method can be applied to viscoelastic fluids. Numerical results include the simulation of jet buckling and extrudate swell for Reynolds numbers in the range [0.01,0.5].