A hybrid particle level set method for improved interface capturing

By Douglas Enright, Ronald Fedkiw, Joel H. Ferziger, Ian M. Mitchell. 2002

1,221 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/27bd83d70eb241319362e2eeb4917f2b6148f376

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

A fast and accurate semi-Lagrangian particle level set method (2005, methodology): “An alternative characteristic-based diffusion correction technique, the particle level set method [5], has been recently proposed.”
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].”
An Unconditionally Stable MacCormack Method (2008, methodology): “We used the particle level set method [5] in both of these simulations.”
A level set based sharp interface method for the multiphase incompressible Navier-Stokes equations with phase change (2007, background): “[8] in the case of externally generated velocities, which is the case for incompressible flows.”
A sharp interface method for incompressible two-phase flows (2007, methodology): “We observe that there are possibly more accurate representations of the interface [49,41,16,4,3,40].”
Animation and rendering of complex water surfaces (2002, background): “In [Enright et al. 2002] we showed that this surface only approach leads to the most accurate 3D results for surface tracking ever achieved (in both CFD and CG).”
Simulating water and smoke with an octree data structure (2004, methodology): “…system is symmetric positive definite enabling the use of fast solution methods such as preconditioned conjugate gradients, whereas the standard approximation to the Poisson equation on an octree grid results in a non-symmetric linear system which is more computationally challenging to invert.”
A conservative level set method for two phase flow II (2005, positive): “The problem of mass conservation of level set methods was also addressed in [10].”
A Lagrangian particle level set method. (2005, methodology): “5) suffers from numerical diffusion which can be alleviated by the hybrid particle level set method introduced in [14] as shown in Fig.”
An interface-capturing method for incompressible two-phase flows. Validation and application to bubble dynamics (2007, methodology): “Keywords: Bubbly flow; Front capturing; Interface tracking; Two-phase flow; Volume of Fluid”
Modeling the fluid dynamics of electrowetting on dielectric (EWOD) (2004, background): “Recently, [53] introduced a particle level set method that ensures global and local mass conservation.”
Evaluating the performance of the two-phase flow solver interFoam (2012, methodology): “Comparison of E%M with different approaches of [48, 81].”
Data-driven fluid simulations using regression forests (2015, methodology): “An alternative to particle-based approaches are grid-based methods that approximate continuous quantities on a discrete regular grid [Enright et al. 2002].”
A conservative local interface sharpening scheme for the constrained interpolation profile method (2012, background): “field and the initial position of the circle are the same as the ones described in [30].”