PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method

By Yuriko Renardy, Michael Renardy. 2002

626 citations recorded by the source corpus.

Subfields: Computational Mechanics, Surfaces, Coatings and Films

View Paper: https://www.semanticscholar.org/paper/918259ce0d470e736ff1a9338a3459e7cdc67b0e

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

In Surfaces, Coatings and Films

Citations in the corpus

Evaluating the performance of the two-phase flow solver interFoam (2012, methodology): “, [1, 4, 5, 26–49]) reveals that at least the following four issues are fundamental to the accuracy of interfacial capturing methodologies.”
Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method (2012, methodology): “Then we study the movement of a droplet in a uniform velocity field and compare the numerical results for the three formulations: CSF, SSF and our proposed FSF formulation.”
Evaluation of level set and phase field methods in modeling two phase flow with viscosity contrast through dual-permeability porous medium (2013, background): “According to Renardy and Renardy (2002), the maximum parasite velocity magnitude in the computational domain is scaled with r/l.”
Multiscale simulation of atomization with small droplets represented by a Lagrangian point-particle model (2014, background): “As in several other works [46] [21] [45], a balanced-force surface tension discretization is employed.”
Influence of surface tension implementation in Volume of Fluid and coupled Volume of Fluid with Level Set methods for bubble growth and detachment (2013, methodology): “currents is calculated using the averaged velocity norm error l1 and the maximum velocity norm error l1 (Renardy and Renardy, 2002)”
Height functions for applying contact angles to 2D VOF simulations (2008, methodology): “These results compare well with those of the PROST method of Renardy and Renardy [4]; in their case they studied a 3D static drop in equilibrium, without a contact line, and demonstrated the same behavior of spurious currents with mesh refinement.”
A sharp interface method for incompressible two-phase flows (2007, methodology): “[55] and more recently, using “PROST”, Renardy et al.[37].”
A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework (2006, background): “We demonstrate that a flow algorithm designed to legislate force balance retains an exact balance between surface tension forces and the resulting pressure gradients.”
A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids (2008, methodology): “002 to those obtained by Renardy and Renardy [42] using the PROST Volume of Fluid algorithm on a staggered mesh.”
Numerical simulation of droplets, bubbles and waves: state of the art (2009, methodology): “The PROST method of [19] was the first VOF method with low spurious currents we are aware of.”
Multiscale simulations of primary atomization (2010, methodology): “Particles alter flow dynamics leading to attenuation or enhancement of turbulence based on a non-dimensional particle momentum number [13, 14].”
A continuous surface tension force formulation for diffuse-interface models (2005, methodology): “In this section, we test our new surface tension formulation with the similar test problem in [25].”