Computer Methods in Applied Mechanics and Engineering
A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
Journal of Computational Physics
Numerical simulation of free surface flows
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
A method for animating viscoelastic fluids
ACM SIGGRAPH 2004 Papers
High-order surface tension VOF-model for 3D bubble flows with high density ratio
Journal of Computational Physics
Numerical simulation of free surface incompressible liquid flows surrounded by compressible gas
Journal of Computational Physics
Mathematics and Computers in Simulation
Numerical simulation of Rhonegletscher from 1874 to 2100
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 simple finite volume method for adaptive viscous liquids
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
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A numerical model is presented for the simulation of viscoelastic flows with complex free surfaces in three space dimensions. The mathematical formulation of the model is similar to that of the volume of fluid (VOF) method, but the numerical procedures are different.A splitting method is used for the time discretization. The prediction step consists in solving three advection problems, one for the volume fraction of liquid (which allows the new liquid domain to be obtained), one for the velocity field, one for the extra-stress. The correction step corresponds to solving an Oldroyd-B fluid flow problem without advection in the new liquid domain.Two different grids are used for the space discretization. The three advection problems are solved on a fixed, structured grid made out of small cubic cells, using a forward characteristics method. The Oldroyd-B problem without advection is solved using continuous, piecewise linear stabilized finite elements on a fixed, unstructured mesh of tetrahedrons.Efficient post-processing algorithms enhance the quality of the numerical solution. A hierarchical data structure reduces the memory requirements.Convergence of the numerical method is checked for the pure extensional flow and the filling of a tube. Numerical results are presented for the stretching of a filament. Fingering instabilities are obtained when the aspect ratio is large. Also, results pertaining to jet buckling are reported.