A fast and accurate semi-Lagrangian particle level set method

By Douglas Enright, Frank Losasso, Ronald Fedkiw. 2005

296 citations recorded by the source corpus.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/f4d6f91eaab8e3b96e5e6fdaaba154ee02f8e49a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Michael Y. Wang
2. Ronald Fedkiw
3. Stanley J. Osher
4. Shengyin Wang
5. Frank Losasso
6. Frédéric Gibou
7. Andrew Selle
8. Marcus Herrmann

Citations in the corpus

• A computational method for sharp interface advection (2016, methodology): “We adopt a setup often used to test surface smearing in 3D [18,26–28].”
• Spatially adaptive techniques for level set methods and incompressible flow (2006, methodology): “Recently, [28] showed that the particle level set method does not necessitate high order accurate methods for the level set advection and reinitialization.”
• Coupling water and smoke to thin deformable and rigid shells (2005, methodology): “[Enright et al. 2005] showed that the particle level set method relies primarily on the particles for accuracy whereas the role of the level set is to provide connectivity and smoothness.”
• An Unconditionally Stable MacCormack Method (2008, methodology): “In contrast, the simple semi-Lagrangian approach proposed in [6] allowed for straightforward extension to octree [16,15] (see also [25]) and run length encoded [10] data structures.”
• A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids (2008, methodology): “The obtained results compare well to the HJ particle level set method [14], resulting in slightly larger errors for a factor 2 finer G-grid and slightly smaller errors for a factor 4 refined G-grid.”
• Sharp interface tracking using the phase-field equation (2007, methodology): “Case Grid Present phase-field method Level-set [13] Particle level-set [47] b 0 Dx 0 L1 L2 L1 Mass loss (%) Mass loss (%) Mass loss (%) 1 50 · 50 0.”
• Structural Shape and Topology Optimization Using an Implicit Free Boundary Parametrization Method (2006, background): “…that a sufficiently fine mesh is adopted, time step sizes may be not chosen to satisfy the accuracy requirements but rather to satisfy the CFL condition, which will make the time step sizes overly small and the computational cost unnecessarily too expansive [Enright, Losasso, and Fedkiw (2005)].”
• A geometric mass‐preserving redistancing scheme for the level set function (2011, methodology): “In [12] a discontinuous Galerkin method is proposed and compared with several other methods, including the ENO/RK(3) scheme presented in [13] and the HJ-WENO(5)/RK(3) scheme used in [14, 15].”
• Simulating water and smoke with an octree data structure (2004, methodology): “Recently, [Enright et al. 2004] showed that the particle level set method relies on particles for accuracy and the level set for connectivity.”