A five-equation model for the simulation of interfaces between compressible fluids
Journal of Computational Physics
All isomorphic distinct cases for multi-component interfaces in a block
Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics
On the computation of multi-material flows using ALE formulation
Journal of Computational Physics
Spherical Richtmyer-Meshkov instability for axisymmetric flow
Mathematics and Computers in Simulation - Special issue: Wave phenomena in physics and engineering: New models, algorithms, and appications
Richtmyer-Meshkov instability in liquid metal flows: influence of cavitation and magnetic fields
Mathematics and Computers in Simulation - Special issue: Wave phenomena in physics and engineering: New models, algorithms, and appications
A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
Journal of Computational Physics
A hybrid particle-mesh method for viscous, incompressible, multiphase flows
Journal of Computational Physics
A simple package for front tracking
Journal of Computational Physics
Face offsetting: A unified approach for explicit moving interfaces
Journal of Computational Physics
A Conservative Front Tracking Method in N-Dimensions
Journal of Scientific Computing
A volume of fluid method for a two-dimensional plasma expansion problem
Journal of Computational Physics
A numerical algorithm for MHD of free surface flows at low magnetic Reynolds numbers
Journal of Computational Physics
Numerical simulation of 3D bubbles rising in viscous liquids using a front tracking method
Journal of Computational Physics
Maintaining deforming surface meshes
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
A grid-alignment finite element technique for incompressible multicomponent flows
Journal of Computational Physics
A grid based particle method for moving interface problems
Journal of Computational Physics
An all-speed relaxation scheme for interface flows with surface tension
Journal of Computational Physics
Fast and robust tracking of fluid surfaces
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Error comparison in tracked anduntracked spherical simulations
Computers & Mathematics with Applications
A fast algorithm for moving interface problems
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartII
Edge flips and deforming surface meshes
Proceedings of the twenty-seventh annual symposium on Computational geometry
SIAM Journal on Scientific Computing
Deforming composite grids for solving fluid structure problems
Journal of Computational Physics
Vortex simulations of impulsivelyaccelerated unstable interface
Mathematical and Computer Modelling: An International Journal
Numerical simulation of the three-dimensional Rayleigh-Taylor instability
Computers & Mathematics with Applications
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Front tracking provides sharp resolution of wave fronts through the active tracking of interfaces between distinct materials. A major challenge to this method is to handle changes in the interface topology. We describe two algorithms, implemented in the front tracking code FronTier, to model dynamic changes in three-dimensional interfaces. The two methods can be combined to give a hybrid method that is superior to each individual method. The success of these algorithms is shown by simulations of Rayleigh--Taylor instability, which is an interfacial instability driven by an acceleration directed across a material interface. Our numerical results are validated by comparing the numerical computation of the velocity of a single rising bubble with an analytic model for the bubble velocity.