A model for surface tension in the meshless finite volume particle method without spurious velocity

•A simple model for surface tension in the finite volume particle method is proposed.•The common tangent of free-surface particle supports is the free surface tangent.•The method is validated for 2D cases with excellent agreement with existing data.•The new model provides a uniform steady pressure d...

Full description

Saved in:
Bibliographic Details
Published in:Computers & fluids 2019-01, Vol.179, p.521-532
Main Authors: Moghimi, Mohsen H., Quinlan, Nathan J.
Format: Article
Language:English
Subjects:
Coalescence
Computational fluid dynamics
Curvature
Cylinder impact on liquid
Cylinders
Finite element method
Finite volume method
Finite volume particle method
Fluid flow
Free surfaces
Liquid surfaces
Mathematical analysis
Meshless
Meshless methods
Smooth particle hydrodynamics
Surface tension
Two dimensional models
Wetting
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•A simple model for surface tension in the finite volume particle method is proposed.•The common tangent of free-surface particle supports is the free surface tangent.•The method is validated for 2D cases with excellent agreement with existing data.•The new model provides a uniform steady pressure distribution.•The new model is free from spurious current. A surface tension model has been developed in the finite volume particle method (FVPM). FVPM is a conservative, consistent, meshless particle method that incorporates properties of both smoothed particle hydrodynamics and the mesh-based finite volume method. Surface tension force is applied only on free-surface particles, which are inexpensively and robustly detected using the FVPM definition of interparticle area, analogous to cell face area in the finite volume method. We present a model in which the direction of the pairwise surface tension force is approximated by the common tangent of free-surface particle supports. The new surface tension model is implemented in 2D. The method is validated for formation of an equilibrium viscous drop from square and elliptical initial states, drops on hydrophobic and hydrophilic walls, droplet collision, and impact of a small cylinder on a liquid surface. Results are practically free from parasitic current associated with inaccurate curvature determination in some methods.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2018.11.019