LEVEL SET METHODS FOR FLUID INTERFACES

By James A. Sethian, Peter Smereka. 2003

1,069 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d4583d40586018b07c81139eb780e0f32f868c9e

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In Computational Mechanics

Citations in the corpus

A diffuse-interface method for simulating two-phase flows of complex fluids (2004, background): “This is a fundamental challenge with the phase-field representation (Sethian & Smereka 2003).”
Numerical investigation of Newtonian and non-Newtonian multiphase flows using ISPH method (2013, methodology): “[2] are Eulerian methods widely used in computational fluid dynamics.”
Conservative multigrid methods for Cahn-Hilliard fluids (2004, background): “, see the reviews [55–57] and the references therein).”
A synthesis of numerical methods for modeling wave energy converter-point absorbers (2012, methodology): “Marker-and-Cell (MAC) method [103], Volume Of Fluid (VOF) method [104], and the level set approach [105,106] are the most often used interface-capturing methods.”
Phase field computations for ternary fluid flows (2007, methodology): “For example, the volume-of-fluid (VOF) [15,16,26,33], level set method [9,27,30,32], immersed boundary method [14], and phase field method [2,10] are used for the studies of two-component flow.”
Benchmark numerical simulations of segmented two-phase flows in microchannels using the Volume of Fluid method (2013, methodology): “Examples of Eulerian methods include the diffuse interface method [15,16], the Level Set (LS) method [17,18], the Volume of Fluid (VOF) method [19–21], and the Lattice-Boltzmann method [22].”
A multi-phase SPH method for macroscopic and mesoscopic flows (2006, methodology): “such as the volume of fluid (VOF) method [36], the level set method [39] and the lattice Boltzmann method (LBM) [2]; the other is the Lagrangian approach, such as vortex methods [6,22], molecular dynamics (MD) [21], and dissipative particle dynamics (DPD) [18].”
Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing (2006, neutral): “This Lagrangian approach is often known as interface tracking [3].”
Numerical simulation of a single rising bubble by VOF with surface compression (2013, background): “A detailed discussion of these approaches is beyond the scope of this paper; interested readers are referred to review papers, for example, by Rider and Kothe [6], Scardovelli and Zaleski [7] or Sethian and Smereka [8].”
Phase-Field Models for Multi-Component Fluid Flows (2012, methodology): “In interface capturing methods such as level-set [24,78,79,85,91,92] and phase-field methods [4,6,13,29,46,47,54,56,74,86,90,102], the interface is implicitly captured by a contour of a particular scalar function.”