A numerical method for two-phase flow consisting of separate compressible and incompressible regions

By Rachel Caiden, Ronald Fedkiw, C. R. Anderson. 2000

158 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/3d1d9cbe3dd598eefed4c11437a92d2c2674e6a8

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In Applied Mathematics

In Computational Mechanics

Citations in the corpus

Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method (2002, methodology): “This procedure was first used in [5] on an interface separating incompressible and compressible flow.”
LEVEL SET METHODS FOR FLUID INTERFACES (2003, methodology): “A derivation of (17) can be found in Chang et al (1996) and Smereka (1996).”
High Order Strong Stability Preserving Time Discretizations (2009, background): “…have been employed in a variety of application areas, including compressible flow [91], incompressible flow [70], viscous flow [85], two-phase flow [6] [3], relativistic flow [16] [1] [95], cosmological hydrodynamics [19], magnetohydrodynamics [2], radiation hydrodynamics [64], two-species plasma…”
Modeling the fluid dynamics of electrowetting on dielectric (EWOD) (2004, methodology): “This is achieved by using a level set method ([11], [10], [12], [ 13 ]) which effectively captures the liquid-gas interface as the zero level set of a scalar function defined on the X-Y plane.”
An Extended Finite Element Method for Two-Phase Fluids (2003, methodology): “Fedkiw et al. [ 5 , 23] have used level sets in conjunction with ghost uid methods to solve compressible-compressible and compressible-incompressible two-phase ows using nite dierence schemes.”
Spatially adaptive techniques for level set methods and incompressible flow (2006, methodology): “Using the GFM, these level set algorithms have been extended to detonations and deflagrations [34], mixed compressible and incompressible flow [11], twophase incompressible flow [50, 54], low speed flames [65], Stefan problems for crystal growth [39, 38, 37], free surface flows [30], etc.”
A review of level-set methods and some recent applications (2018, methodology): “It has also been applied to the coupling of Eulerian/Lagrangian frameworks [101] and compressible/incompressible flows [102].”
A fast and accurate semi-Lagrangian particle level set method (2005, methodology): “The area is calculated using a second order accurate unbiased level set contouring algorithm [ 3 ].”
A level set approach to Eulerian-Lagrangian coupling (2003, result): “This conclusion is similar to the one obtained in [33] for coupling compressible to incompressible flow.”
A level set based sharp interface method for the multiphase incompressible Navier-Stokes equations with phase change (2007, background): “This philosophy was then applied to a wide range of applications (see [5,9,12,19,21,22] and the references therein).”
The ghost fluid method for compressible gas-water simulation (2005, methodology): “Since only single-fluid flux formulations are required to make a GFM workable, the GFM is easily employed for two fluids of vastly different types such as a compressible–incompressible or viscous-inviscid two-fluid flow [5].”
A hybrid particle level set method for improved interface capturing (2002, methodology): “The area is calculated using a second-order accurate unbiased level set contouring algorithm [4].”