A curvature‐free multiphase flow solver via surface stress‐based formulation

Summary In this note, we show the link between the classical continuous surface stress and continuous surface force approaches together with special finite element method techniques toward a fully implicit level set method. Based on a modified surface stress formulation, neither normals nor curvatur...

Full description

Saved in:
Bibliographic Details
Published in:International journal for numerical methods in fluids 2018-09, Vol.88 (1), p.18-31
Main Authors: Ouazzi, A., Turek, S., Damanik, H.
Format: Article
Language:English
Subjects:
continuum surface force
continuum surface stress
Curvature
Finite element method
level set
Multiphase flow
Navier‐Stokes equations
Stress
Stresses
Wind stress
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:Summary In this note, we show the link between the classical continuous surface stress and continuous surface force approaches together with special finite element method techniques toward a fully implicit level set method. Based on a modified surface stress formulation, neither normals nor curvature has to be explicitly calculated. The method is space‐dimension independent. Prototypical numerical tests of benchmarking character for a rising 2D bubble are provided for validating the accuracy of this new approach. We show additionally that the explicit redistancing can be avoided using a nonlinear PDE so that a fully implicit and even monolithic formulation of the corresponding multiphase problem gets feasible. In this note we show the link between the classical CSS and CSF approaches together with special Finite Element Method (FEM) techniques towards a fully implicit level set method. Based on a modified surface stress formulation, neither normals nor curvature have to be explicitly calculated. The method is space dimension independent.
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.4509