A convergent 3-D vortex method with grid-free stretching
Mathematics of Computation
Convergence of Vortex methods for Euler's equations, III
SIAM Journal on Numerical Analysis
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Crystal growth and dendritic solidification
Journal of Computational Physics
Computing minimal surfaces via level set curvature flow
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
A fast level set method for propagating interfaces
Journal of Computational Physics
High-resolution conservative algorithms for advection in incompressible flow
SIAM Journal on Numerical Analysis
Artificial viscosity models for vortex and particle methods
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
SIAM Journal on Scientific Computing
A fast modular semi-Lagrangian method for moving interfaces
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
Journal of Computational Physics
A comparison of spectral and vortex methods in three-dimensional incompressible flows
Journal of Computational Physics
A general deterministic treatment of derivatives in particle methods
Journal of Computational Physics
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Journal of Computational Physics
High-Order Central WENO Schemes for Multidimensional Hamilton--Jacobi Equations
SIAM Journal on Numerical Analysis
Discretization of Dirac delta functions in level set methods
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set
Journal of Computational Physics
A finite element method for animating large viscoplastic flow
ACM SIGGRAPH 2007 papers
A variational approach to Eulerian geometry processing
ACM SIGGRAPH 2007 papers
A second order accurate level set method on non-graded adaptive cartesian grids
Journal of Computational Physics
Out-of-core and compressed level set methods
ACM Transactions on Graphics (TOG)
Flow simulations using particles: bridging computer graphics and CFD
ACM SIGGRAPH 2008 classes
An immersed boundary method for smoothed particle hydrodynamics of self-propelled swimmers
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Front tracking with moving-least-squares surfaces
Journal of Computational Physics
A spectrally refined interface approach for simulating multiphase flows
Journal of Computational Physics
A grid based particle method for moving interface problems
Journal of Computational Physics
Deforming meshes that split and merge
ACM SIGGRAPH 2009 papers
An improved particle correction procedure for the particle level set method
Journal of Computational Physics
A grid based particle method for evolution of open curves and surfaces
Journal of Computational Physics
Journal of Computational Physics
Discretization correction of general integral PSE Operators for particle methods
Journal of Computational Physics
Multiresolution simulations using particles
VECPAR'06 Proceedings of the 7th international conference on High performance computing for computational science
Marker Redistancing/Level Set Method for High-Fidelity Implicit Interface Tracking
SIAM Journal on Scientific Computing
A level-set method for skinning animated particle data
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Accurate, non-oscillatory, remeshing schemes for particle methods
Journal of Computational Physics
Out-of-Core Computations of High-Resolution Level Sets by Means of Code Transformation
Journal of Scientific Computing
A self-organizing Lagrangian particle method for adaptive-resolution advection-diffusion simulations
Journal of Computational Physics
Explicit Mesh Surfaces for Particle Based Fluids
Computer Graphics Forum
Consistent surface model for SPH-based fluid transport
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
An oriented particle level set method based on surface coordinates
Journal of Computational Physics
Target particle control of smoke simulation
Proceedings of Graphics Interface 2013
A gradient augmented level set method for unstructured grids
Journal of Computational Physics
Hybrid spectral-particle method for the turbulent transport of a passive scalar
Journal of Computational Physics
A localized re-initialization equation for the conservative level set method
Journal of Computational Physics
Hi-index | 31.54 |
We present a novel particle level set method for capturing interfaces. The level set equation is solved in a Lagrangian frame using particles that carry the level set information. A key aspect of the method involves a consistent remeshing procedure for the regularization of the particle locations when the particle map gets distorted by the advection field. The Lagrangian description of the level set method is inherently adaptive and exact in the case of solid body motions. The efficiency and accuracy of the method is demonstrated in several benchmark problems in two and three dimensions involving pure advection and curvature induced motion of the interface. The simplicity of the particle description is shown to be well suited for real time simulations of surfaces involving cutting and reconnection as in virtual surgery environments.