A method of local corrections for computing the velocity field due to a distribution of vortex blobs
Journal of Computational Physics
Desingularization of periodic vortex sheet roll-up
Journal of Computational Physics
Numerical simulation of a thermally stratified shear layer using the vortex element method
Journal of Computational Physics
Hairpin removal in Vortex interactions
Journal of Computational Physics
Three-dimensional vortex simulation of rollup and entrainment in a shear layer
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
An Eulerian approach for vortex motion using a level set regularization procedure
Journal of Computational Physics
A new diffusion procedure for vortex methods
Journal of Computational Physics
Clouds-in-clouds, clouds-in-cells physics for many-body plasma simulation
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Numerical simulation of hydrodynamics by the method of point vortices
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Regularized vortex sheet evolution in three dimensions
Journal of Computational Physics
Numerical Calculation of Three-Dimensional Interfacial Potential Flows Using the Point Vortex Method
SIAM Journal on Scientific Computing
A particle method and adaptive treecode for vortex sheet motion in three-dimensional flow
Journal of Computational Physics
Lagrangian vortex sheets for animating fluids
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Linear-time smoke animation with vortex sheet meshes
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Linear-time smoke animation with vortex sheet meshes
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Liquid surface tracking with error compensation
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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A new, fully three-dimensional, vortex-in-cell method designed to follow the unsteady motion of inviscid vortex sheets with or without small (Boussinesq) density discontinuities is presented. As is common in front-tracking methods, the vortex sheet is described by a moving, unstructured mesh consisting of points connected by triangular elements. Each element carries scalar-valued circulations on its three edges, which can be used to represent any tangent vector value and in the present method represent the element's vorticity. As the interface deforms, nodes and elements are added and removed to maintain the resolution of the sheet and of the vortex sheet strength. The discretization and remeshing methods allow automatic, near-perfect conservation of circulation despite repeated stretching and folding of the interface. Results are compared with previous experiments and simulations. Similarities are observed between the present simulations and experiments of a vortex ring impacting a wall.