Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A front-tracking method for dendritic solidification
Journal of Computational Physics
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
Optimal triangulation and quadric-based surface simplification
Computational Geometry: Theory and Applications - Special issue on multi-resolution modelling and 3D geometry compression
A new volume of fluid advection algorithm: the stream scheme
Journal of Computational Physics
Robust Computational Algorithms for Dynamic Interface Tracking in Three Dimensions
SIAM Journal on Scientific Computing
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Scientific Computing
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Journal of Computational Physics
A simple package for front tracking
Journal of Computational Physics
Mesh Generation: Application to Finite Elements
Mesh Generation: Application to Finite Elements
A fast and accurate semi-Lagrangian particle level set method
Computers and Structures
Identification of C1 and C2 discontinuities for surface meshes in CAD
Computer-Aided Design
Fast viscoelastic behavior with thin features
ACM SIGGRAPH 2008 papers
Technical Section: A simple and flexible framework to adapt dynamic meshes
Computers and Graphics
Optimizing Surface Triangulation Via Near Isometry with Reference Meshes
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Deforming meshes that split and merge
ACM SIGGRAPH 2009 papers
Matching fluid simulation elements to surface geometry and topology
ACM SIGGRAPH 2010 papers
Dynamic local remeshing for elastoplastic simulation
ACM SIGGRAPH 2010 papers
Liquid simulation with mesh-based surface tracking
ACM SIGGRAPH 2011 Courses
A two-scale approach for the analysis of propagating three-dimensional fractures
Computational Mechanics
Topology-adaptive interface tracking using the deformable simplicial complex
ACM Transactions on Graphics (TOG)
Tracking surfaces with evolving topology
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Multiphase flow of immiscible fluids on unstructured moving meshes
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Multiphase flow of immiscible fluids on unstructured moving meshes
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
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Dynamic moving interfaces are central to many scientific, engineering, and graphics applications. In this paper, we introduce a novel method for moving surface meshes, called the face offsetting method, based on a generalized Huygens' principle. Our method operates directly on a Lagrangian surface mesh, without requiring an Eulerian volume mesh. Unlike traditional Lagrangian methods, which move each vertex directly along an approximate normal or user-specified direction, our method propagates faces and then reconstructs vertices through an eigenvalue analysis locally at each vertex to resolve normal and tangential motion of the interface simultaneously. The method also includes techniques for ensuring the integrity of the surface as it evolves. Face offsetting provides a unified framework for various dynamic interface problems and delivers accurate physical solutions even in the presence of singularities and large curvatures. We present the theoretical foundation of our method, and also demonstrate its accuracy, efficiency, and flexibility for a number of benchmark problems and a real-world application.