scispace - formally typeset
Open AccessJournal ArticleDOI

A level-set method for interfacial flows with surfactant

Jian-Jun Xu, +3 more
- 01 Mar 2006 - 
- Vol. 212, Iss: 2, pp 590-616
Reads0
Chats0
TLDR
The method couples a semi-implicit discretization for solving the surfactant transport equation recently developed by Xu and Zhao with the immersed interface method originally developed by LeVeque and Li, for the first time that the level-set method has been used to simulate fluid interfaces with surfactants.
About: 
This article is published in Journal of Computational Physics.The article was published on 2006-03-01 and is currently open access. It has received 209 citations till now. The article focuses on the topics: Stokes flow & Fluid dynamics.

read more

Figures
Citations
More filters
Journal ArticleDOI

Finite element methods for surface PDEs

Gerhard Dziuk, +1 more
- 01 May 2013 - 
TL;DR: Finite element methods for approximating the solution of partial differential equations on surfaces are considered, focusing on surface finite elements on triangulated surfaces, implicit surface methods using level set descriptions of the surface, unfitted finite element methods and diffuse interface methods.
Journal ArticleDOI

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

Martin Wörner
- 10 Mar 2012 - 
TL;DR: A comprehensive review of numerical methods and models for interface resolving simulations of multiphase flows in microfluidics and micro process engineering is presented in this paper, where three common approaches in the sharp interface limit, namely the volume-of-fluid method with interface reconstruction, the level set method and the front tracking method, as well as methods with finite interface thickness such as color function based methods and the phase-field method are discussed.
Journal ArticleDOI

A front-tracking method for computation of interfacial flows with soluble surfactants

Metin Muradoglu, +1 more
- 01 Feb 2008 - 
TL;DR: A finite-difference/front-tracking method is developed for computations of interfacial flows with soluble surfactants and the results are found to be in a good agreement with available experimental data.
Journal ArticleDOI

Numerical Simulations of Flows with Moving Contact Lines

Yi Sui, +2 more
- 03 Jan 2014 - 
TL;DR: The main models for moving contact lines are summarized and an overview of computational methods that includes direct continuum approaches and macroscale models that resolve only the large-scale flow by modeling the effects of the conditions near the contact line using theory are presented.

Numerical simulations of 3D flows with moving contact lines

Zlatko Solomenko, +2 more
TL;DR: In this article, the authors summarize the main models for moving contact lines and follow with an overview of computational methods that include direct continuum approaches and macroscale models that resolve only the large-scale flow by modeling the effects of the conditions near the contact line using theory.
References
More filters
Journal ArticleDOI

Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

Stanley Osher, +1 more
- 01 Nov 1988 - 
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
Journal ArticleDOI

Efficient Implementation of Weighted ENO Schemes

Guang-Shan Jiang, +1 more
- 01 Jun 1996 - 
TL;DR: A new way of measuring the smoothness of a numerical solution is proposed, emulating the idea of minimizing the total variation of the approximation, which results in a fifth-order WENO scheme for the caser= 3, instead of the fourth-order with the original smoothness measurement by Liuet al.
Journal ArticleDOI

The immersed boundary method

Charles S. Peskin
- 01 Jan 2002 - 
TL;DR: This paper is concerned with the mathematical structure of the immersed boundary (IB) method, which is intended for the computer simulation of fluid–structure interaction, especially in biological fluid dynamics.
Journal ArticleDOI

A level set approach for computing solutions to incompressible two-phase flow

Mark Sussman, +2 more
- 01 Sep 1994 - 
TL;DR: A level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.
Journal ArticleDOI

Level set methods: an overview and some recent results

Stanley Osher, +1 more
- 30 May 2001 - 
TL;DR: The level set method is couple to a wide variety of problems involving external physics, such as compressible and incompressible flow, Stefan problems, kinetic crystal growth, epitaxial growth of thin films, vortex-dominated flows, and extensions to multiphase motion.
Related Papers (5)

A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant

Ashley J. James, +1 more
- 10 Dec 2004 - 

A front-tracking method for computation of interfacial flows with soluble surfactants

Metin Muradoglu, +1 more
- 01 Feb 2008 - 

A simple derivation of the time‐dependent convective‐diffusion equation for surfactant transport along a deforming interface

Howard A. Stone
- 01 Jan 1990 - 

A level set approach for computing solutions to incompressible two-phase flow

Mark Sussman, +2 more
- 01 Sep 1994 - 

Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

Stanley Osher, +1 more
- 01 Nov 1988 - 
Frequently Asked Questions (2)
Q1. What are the contributions mentioned in the paper "A level set method for interfacial flows with surfactant" ?

A level-set method for the simulation of fluid interfaces with insoluble surfactant is presented in two-dimensions. 

Convergence of the method was demonstrated numerically and the method was applied to study the effects of surfactant on single drops, drop-drop interactions and interactions among multiple drops in Stokes flow under a steady applied shear. There are a number of future directions that should be pursued.