Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
Journal of Computational Physics
A PDE-based fast local level set method
Journal of Computational Physics
Proceedings of the 28th 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
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws
A Discontinuous Spectral Element Method for the Level Set Equation
Journal of Scientific Computing
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
Directable photorealistic liquids
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Stable but nondissipative water
ACM Transactions on Graphics (TOG)
A semi-Lagrangian contouring method for fluid simulation
ACM Transactions on Graphics (TOG)
Hierarchical RLE level set: A compact and versatile deformable surface representation
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2006 Papers
Journal of Computational Physics
Liquid simulation on lattice-based tetrahedral meshes
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
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ACM SIGGRAPH 2008 papers
Essentially Non-Oscillatory Adaptive Tree Methods
Journal of Scientific Computing
An Unconditionally Stable MacCormack Method
Journal of Scientific Computing
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Numerical Recipes 3rd Edition: The Art of Scientific Computing
A spectrally refined interface approach for simulating multiphase flows
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
Fast and robust tracking of fluid surfaces
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Stretching and wiggling liquids
ACM SIGGRAPH Asia 2009 papers
Robust Topological Operations for Dynamic Explicit Surfaces
SIAM Journal on Scientific Computing
Physics-inspired topology changes for thin fluid features
ACM SIGGRAPH 2010 papers
A particle-based method for preserving fluid sheets
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Liquid simulation with mesh-based surface tracking
ACM SIGGRAPH 2011 Courses
Mass-conserving eulerian liquid simulation
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Mass-conserving eulerian liquid simulation
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Closest point turbulence for liquid surfaces
ACM Transactions on Graphics (TOG)
Liquid surface tracking with error compensation
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
A new SPH fluid simulation method using ellipsoidal kernels
Journal of Visualization
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This paper introduces a fully-Eulerian interface tracking framework that preserves the fine details of liquids. Unlike existing Eulerian methods, the proposed framework shows good mass conservation even though it does not employ conventional Lagrangian elements. In addition, it handles complex merging and splitting of interfaces robustly due to the implicit representation. To model the interface more accurately, a high order polynomial reconstruction of the signed distance function is utilized based on a number of sub-grid quadrature points. By combining this accurate polynomial representation with a high-order re-initialization method, the proposed framework preserves the detailed structures of the interface. Moreover, the method is simple to implement, unconditionally stable, and is suitable for parallel computing environments.