Boundary conditions for incompressible flows
Journal of Scientific Computing
Orthogonal mapping in two dimensions
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
Journal of Computational Physics
Velocity boundary conditions for the simulation of free surface fluid flow
Journal of Computational Physics
Projection method I: convergence and numerical boundary layers
SIAM Journal on Numerical Analysis
The point-set method: front-tracking without connectivity
Journal of Computational Physics
A numerical method for two-phase flow consisting of separate compressible and incompressible regions
Journal of Computational Physics
Accurate projection methods for the incompressible Navier—Stokes equations
Journal of Computational Physics
The immersed interface method for the Navier-Stokes equations with singular forces
Journal of Computational Physics
A fixed-grid, sharp-interface method for bubble dynamics and phase change
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
A sharp interface Cartesian Ggid method for simulating flows with complex moving boundaries: 345
Journal of Computational Physics
Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
Journal of Computational Physics
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
Journal of Computational Physics
Journal of Computational Physics
Semi-implicit projection methods for incompressible flow based on spectral deferred corrections
Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs
High-order surface tension VOF-model for 3D bubble flows with high density ratio
Journal of Computational Physics
Journal of Computational Physics
Interface pressure calculation based on conservation of momentum for front capturing methods
Journal of Computational Physics
Journal of Computational Physics
A 2D compact fourth-order projection decomposition method
Journal of Computational Physics
A Volume-of-Fluid based simulation method for wave impact problems
Journal of Computational Physics
Short Note: A multi-phase flow method with a fast, geometry-based fluid indicator
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
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
An implicit technique for solving 3D low Reynolds number moving free surface flows
Journal of Computational Physics
HyPAM: A hybrid continuum-particle model for incompressible free-surface flows
Journal of Computational Physics
Journal of Computational Physics
Simulation of viscous flows with undulatory boundaries. Part I: Basic solver
Journal of Computational Physics
A level set method for vapor bubble dynamics
Journal of Computational Physics
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
Hi-index | 31.48 |
This paper describes a new approach to the high-fidelity simulation of axisymmetric free-surface flows. A boundary-fitted grid is coupled with a new projection method for the solution of the Navier-Stokes equations with second-order accuracy in space and time. Two variants of this new method are developed by adapting two existing algorithms, suitable for prescribed velocity boundary conditions, to the case of prescribed normal and tangential stresses at the free boundary. A normal-mode analysis for a fixed-boundary problem confirms the second-order accuracy of the algorithms. The approach is validated by comparison with a Rayleigh-Plesset solution for an oscillating spherical bubble, with an analysis of shape oscillations, and with existing results for the buoyant rise of a deforming bubble for Reynolds numbers up to 200 and Weber numbers up to 12. In addition to the simulation of axisymmetric free-surface flows of intrinsic interest, the present approach is suitable for the validation of genuinely three-dimensional calculations.