Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
Modelling merging and fragmentation in multiphase flows with SURFER
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Dynamic and selective control of the number of particles in kinetic plasma simulations
Journal of Computational Physics
Velocity boundary conditions for the simulation of free surface fluid 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
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
An adaptive level set approach for incompressible two-phase flows
Journal of Computational Physics
SIAM Journal on Scientific Computing
SIAM Review
A PDE-based fast local level set method
Journal of Computational Physics
Journal of Computational Physics
Weighted ENO Schemes for Hamilton--Jacobi Equations
SIAM Journal on Scientific Computing
The point-set method: front-tracking without connectivity
Journal of Computational Physics
3D Impact and Toroidal Bubbles
Journal of Computational Physics
A numerical method for two-phase flow consisting of separate compressible and incompressible regions
Journal of Computational Physics
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
Practical animation of liquids
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Principles of Digital Image Synthesis
Principles of Digital Image Synthesis
Animation and rendering of complex water surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Animation and rendering of complex water surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A Level Set Approach for the Numerical Simulation of Dendritic Growth
Journal of Scientific Computing
A Discontinuous Spectral Element Method for the Level Set Equation
Journal of Scientific Computing
Journal of Computational Physics
A geometrical area-preserving volume-of-fluid advection method
Journal of Computational Physics
A volume of fluid method based on multidimensional advection and spline interface reconstruction
Journal of Computational Physics
Rigid fluid: animating the interplay between rigid bodies and fluid
ACM SIGGRAPH 2004 Papers
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
Journal of Computational Physics
Animation and control of breaking waves
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Rough Interface Reconstruction Using the Level Set Method
VIS '04 Proceedings of the conference on Visualization '04
Remeshed smoothed particle hydrodynamics simulation of the mechanical behavior of human organs
Technology and Health Care
High-order surface tension VOF-model for 3D bubble flows with high density ratio
Journal of Computational Physics
Numerical simulation of high Schmidt number flow over a droplet by using moving unstructured mesh
Journal of Computational Physics
A Eulerian level set/vortex sheet method for two-phase interface dynamics
Journal of Computational Physics
ACM SIGGRAPH 2005 Papers
An improved PLIC-VOF method for tracking thin fluid structures in incompressible two-phase flows
Journal of Computational Physics
Adaptive tetrahedral meshing in free-surface flow
Journal of Computational Physics
A conservative level set method for two phase flow
Journal of Computational Physics
A Lagrangian particle level set method
Journal of Computational Physics
A semi-Lagrangian contouring method for fluid simulation
ACM Transactions on Graphics (TOG)
A quadrature-free discontinuous Galerkin method for the level set equation
Journal of Computational Physics
Dynamic Tubular Grid: An Efficient Data Structure and Algorithms for High Resolution Level Sets
Journal of Scientific Computing
A level-set method for interfacial flows with surfactant
Journal of Computational Physics
Hydrodynamic simulation of air bubble implosion using a level set approach
Journal of Computational Physics
A second-order boundary-fitted projection method for free-surface flow computations
Journal of Computational Physics
Numerical simulation of 3D viscoelastic flows with free surfaces
Journal of Computational Physics
Mass preserving finite element implementations of the level set method
Applied Numerical Mathematics - Numerical methods for viscosity solutions and applications
Space deformations and their application to shape modeling
ACM SIGGRAPH 2006 Courses
Combined Lagrangian-Eulerian approach for accurate advection
SIGGRAPH '05 ACM SIGGRAPH 2005 Posters
Journal of Computational Physics
Modeling ice dynamics as a thin-film Stefan problem
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Practical animation of turbulent splashing water
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Journal of Computational Physics
Face offsetting: A unified approach for explicit moving interfaces
Journal of Computational Physics
Sharp interface tracking using the phase-field equation
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
Stable marker-particle method for the Voronoi diagram in a flow field
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Computation of the curvature field in numerical simulation of multiphase flow
Journal of Computational Physics
Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid
Journal of Scientific Computing
On Boundary Condition Capturing for Multiphase Interfaces
Journal of Scientific Computing
The numerical simulation of liquid sloshing on board spacecraft
Journal of Computational Physics
Journal of Computational Physics
High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set
Journal of Computational Physics
Derivative Particles for Simulating Detailed Movements of Fluids
IEEE Transactions on Visualization and Computer Graphics
Weakly compressible SPH for free surface flows
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
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
Journal of Computational Physics
Journal of Computational Physics
Out-of-core and compressed level set methods
ACM Transactions on Graphics (TOG)
Journal of Computational Physics
Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm
Journal of Computational Physics
A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids
Journal of Computational Physics
Hardware-aware analysis and optimization of stable fluids
Proceedings of the 2008 symposium on Interactive 3D graphics and games
A new interface tracking method: The polygonal area mapping method
Journal of Computational Physics
ACM SIGGRAPH 2008 papers
Direct numerical simulation of evaporating droplets
Journal of Computational Physics
A semi-implicit level set method for structural shape and topology optimization
Journal of Computational Physics
Short Note: Analytical and geometrical tools for 3D volume of fluid methods in general grids
Journal of Computational Physics
An improved three-dimensional model for interface pressure calculations in free-surface flows
International Journal of Computational Fluid Dynamics
An accurate conservative level set/ghost fluid method for simulating turbulent atomization
Journal of Computational Physics
An Unconditionally Stable MacCormack Method
Journal of Scientific Computing
Journal of Scientific Computing
Interaction of two-phase flow with animated models
Graphical Models
Front tracking with moving-least-squares surfaces
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
HyPAM: A hybrid continuum-particle model for incompressible free-surface flows
Journal of Computational Physics
A spectrally refined interface approach for simulating multiphase flows
Journal of Computational Physics
High Order Strong Stability Preserving Time Discretizations
Journal of Scientific Computing
A grid based particle method for moving interface problems
Journal of Computational Physics
International Journal of Computational Fluid Dynamics
A front-tracking/ghost-fluid method for fluid interfaces in compressible flows
Journal of Computational Physics
Deforming meshes that split and merge
ACM SIGGRAPH 2009 papers
Journal of Computational Physics
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
Fast and robust tracking of fluid surfaces
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Journal of Computational Physics
A fast and accurate semi-Lagrangian particle level set method
Computers and Structures
A self-adaptive oriented particles Level-Set method for tracking interfaces
Journal of Computational Physics
The constrained reinitialization equation for level set methods
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A gradient-augmented level set method with an optimally local, coherent advection scheme
Journal of Computational Physics
Multiresolution simulations using particles
VECPAR'06 Proceedings of the 7th international conference on High performance computing for computational science
Matching fluid simulation elements to surface geometry and topology
ACM SIGGRAPH 2010 papers
Dynamic local remeshing for elastoplastic simulation
ACM SIGGRAPH 2010 papers
Implicit tracking for multi-fluid simulations
Journal of Computational Physics
An Eulerian method for multi-component problems in non-linear elasticity with sliding interfaces
Journal of Computational Physics
Vector fluid: a vector graphics depiction of surface flow
NPAR '10 Proceedings of the 8th International Symposium on Non-Photorealistic Animation and Rendering
Journal of Computational Physics
Journal of Computational Physics
A PML-based nonreflective boundary for free surface fluid animation
ACM Transactions on Graphics (TOG)
Scalable fluid simulation using anisotropic turbulence particles
ACM SIGGRAPH Asia 2010 papers
Detail-preserving fully-Eulerian interface tracking framework
ACM SIGGRAPH Asia 2010 papers
A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations
Journal of Computational Physics
Reconstructing surfaces of particle-based fluids using anisotropic kernels
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Extended papers from NPAR 2010: Vector graphics depicting marbling flow
Computers and Graphics
A Memory and Computation Efficient Sparse Level-Set Method
Journal of Scientific Computing
Marker Redistancing/Level Set Method for High-Fidelity Implicit Interface Tracking
SIAM Journal on Scientific Computing
An Eulerian approach for computing the finite time Lyapunov exponent
Journal of Computational Physics
Eulerian solid simulation with contact
ACM SIGGRAPH 2011 papers
On the velocity of an implicit surface
ACM Transactions on Graphics (TOG)
A conservative level set method suitable for variable-order approximations and unstructured meshes
Journal of Computational Physics
Edge flips and deforming surface meshes
Proceedings of the twenty-seventh annual symposium on Computational geometry
A particle-based method for preserving fluid sheets
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Mass and momentum conservation for fluid simulation
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Journal of Computational Physics
Liquid simulation with mesh-based surface tracking
ACM SIGGRAPH 2011 Courses
PhysBAM: physically based simulation
ACM SIGGRAPH 2011 Courses
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Accurate, non-oscillatory, remeshing schemes for particle methods
Journal of Computational Physics
Journal of Computational Physics
A level set method for vapor bubble dynamics
Journal of Computational Physics
Out-of-Core Computations of High-Resolution Level Sets by Means of Code Transformation
Journal of Scientific Computing
MultiFLIP for energetic two-phase fluid simulation
ACM Transactions on Graphics (TOG)
A new volume-of-fluid method with a constructed distance function on general structured grids
Journal of Computational Physics
Topology-adaptive interface tracking using the deformable simplicial complex
ACM Transactions on Graphics (TOG)
Lagrangian vortex sheets for animating fluids
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Journal of Computational Physics
A conservative level-set based method for compressible solid/fluid problems on fixed grids
Journal of Computational Physics
Explicit Mesh Surfaces for Particle Based Fluids
Computer Graphics Forum
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
Strong Stability Preserving Two-step Runge-Kutta Methods
SIAM Journal on Numerical Analysis
Staggered meshless solid-fluid coupling
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Animating corrosion and erosion
NPH'07 Proceedings of the Third Eurographics conference on Natural Phenomena
Versatile virtual materials using implicit connectivity
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
Particle-based simulation of bubbles in water–solid interaction
Computer Animation and Virtual Worlds
A 3D Unsplit Forward/Backward Volume-of-Fluid Approach and Coupling to the Level Set Method
Journal of Computational Physics
Visual simulation of freezing ice with air bubbles
SIGGRAPH Asia 2012 Technical Briefs
Reconstructing surfaces of particle-based fluids using anisotropic kernels
ACM Transactions on Graphics (TOG)
Linear-time smoke animation with vortex sheet meshes
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Simulating free surface flow with very large time steps
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
Simulating free surface flow with very large time steps
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A ghost fluid method for compressible reacting flows with phase change
Journal of Computational Physics
Journal of Scientific Computing
Simulating liquids and solid-liquid interactions with lagrangian meshes
ACM Transactions on Graphics (TOG)
Eulerian adaptive finite-difference method for high-velocity impact and penetration problems
Journal of Computational Physics
Chimera grids for water simulation
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Towards front-tracking based on conservation in two space dimensions III, tracking interfaces
Journal of Computational Physics
VDB: High-resolution sparse volumes with dynamic topology
ACM Transactions on Graphics (TOG)
Generalized Hermitian Radial Basis Functions Implicits from polygonal mesh constraints
The Visual Computer: International Journal of Computer Graphics
Hybrid particle---grid fluid animation with enhanced details
The Visual Computer: International Journal of Computer Graphics
An oriented particle level set method based on surface coordinates
Journal of Computational Physics
A gradient augmented level set method for unstructured grids
Journal of Computational Physics
A level set two-way wave equation approach for Eulerian interface tracking
Journal of Computational Physics
A localized re-initialization equation for the conservative level set method
Journal of Computational Physics
Hi-index | 31.83 |
In this paper, we propose a new numerical method for improving the mass conservation properties of the level set method when the interface is passively advected in a flow field. Our method uses Lagrangian marker particles to rebuild the level set in regions which are underresolved. This is often the case for flows undergoing stretching and tearing. The overall method maintains a smooth geometrical description of the interface and the implementation simplicity characteristic of the level set method. Our method compares favorably with volume of fluid methods in the conservation of mass and purely Lagrangian schemes for interface resolution. The method is presented in three spatial dimensions.