The extended/generalized finite element method: an overview of the method and its applications

TP Fries, T Belytschko - International journal for numerical …, 2010 - Wiley Online Library
An overview of the extended/generalized finite element method (GEFM/XFEM) with
emphasis on methodological issues is presented. This method enables the accurate …

Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

M Wörner - Microfluidics and nanofluidics, 2012 - Springer
This article presents a comprehensive review of numerical methods and models for interface
resolving simulations of multiphase flows in microfluidics and micro process engineering …

Coupling level set/VOF/ghost fluid methods: Validation and application to 3D simulation of the primary break-up of a liquid jet

T Ménard, S Tanguy, A Berlemont - International Journal of Multiphase …, 2007 - Elsevier
Numerical simulations are carried out to describe the dense zone of a spray where very little
information is available, either from experimental or theoretical approaches. Interface …

Modeling primary atomization

M Gorokhovski, M Herrmann - Annu. Rev. Fluid Mech., 2008 - annualreviews.org
This review concerns recent progress in primary atomization modeling. The numerical
approaches based on direct simulation are described first. Although direct numerical …

A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids

M Herrmann - Journal of computational physics, 2008 - Elsevier
A balanced force refined level set grid method for two-phase flows on structured and
unstructured flow solver grids is presented. To accurately track the phase interface location …

Numerical simulation of primary break-up and atomization: DNS and modelling study

R Lebas, T Menard, PA Beau, A Berlemont… - International Journal of …, 2009 - Elsevier
This work deals with numerical simulations of atomization with high Weber and Reynolds
values. A special attention has been devoted to the modelling of primary break-up. Due to …

A coupled volume-of-fluid and level set (VOSET) method for computing incompressible two-phase flows

DL Sun, WQ Tao - International Journal of Heat and Mass Transfer, 2010 - Elsevier
A coupled volume-of-fluid and level set (VOSET) method, which combines the advantages
and overcomes the disadvantages of VOF and LS methods, is presented for computing …

A parallel Eulerian interface tracking/Lagrangian point particle multi-scale coupling procedure

M Herrmann - Journal of computational physics, 2010 - Elsevier
This paper presents a parallel Eulerian/Lagrangian multi-scale coupling procedure for two-
phase flows. At the fully resolved scale, the dynamically evolving phase interface is tracked …

Lagrangian vs. Eulerian: An analysis of two solution methods for free-surface flows and fluid solid interaction problems

M Rakhsha, CE Kees, D Negrut - Fluids, 2021 - mdpi.com
As a step towards addressing a scarcity of references on this topic, we compared the
Eulerian and Lagrangian Computational Fluid Dynamics (CFD) approaches for the solution …

An extended pressure finite element space for two-phase incompressible flows with surface tension

S Groß, A Reusken - Journal of Computational Physics, 2007 - Elsevier
We consider a standard model for incompressible two-phase flows in which a localized force
at the interface describes the effect of surface tension. If a level set (or VOF) method is …