Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow

DOI10.1016/j.jcp.2018.12.044zbMath1452.76062arXiv1806.10371OpenAlexW2810875921WikidataQ128343660 ScholiaQ128343660MaRDI QIDQ2218585

Anna-Karin Tornberg, Sara Pålsson, Michael Siegel

Publication date: 15 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10371

zbMATH Keywords

Stokes flowintegral equationstwo-phase flowvalidationdrop deformationinsoluble surfactantsspecial quadrature

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Capillarity (surface tension) for incompressible viscous fluids (76D45) Numerical methods for integral transforms (65R10) Applications to the sciences (65Z05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Liquid-liquid two component flows (76T06)

Related Items

Quadrature error estimates for layer potentials evaluated near curved surfaces in three dimensions ⋮ Convergence of the boundary integral method for interfacial Stokes flow ⋮ An accurate integral equation method for Stokes flow with piecewise smooth boundaries ⋮ Corrected trapezoidal rule for near-singular integrals in axi-symmetric Stokes flow ⋮ An integral equation method for the advection-diffusion equation on time-dependent domains in the plane ⋮ Estimation of quadrature errors for layer potentials evaluated near surfaces with spherical topology ⋮ An integral equation-based numerical method for the forced heat equation on complex domains ⋮ A cut finite element method for two-phase flows with insoluble surfactants

Cites Work

• Unnamed Item
• Unnamed Item
• Quadrature by expansion: a new method for the evaluation of layer potentials
• An embedded boundary method for soluble surfactants with interface tracking for two-phase flows
• A numerical method for two phase flows with insoluble surfactants
• Efficient numerical methods for multiple surfactant-coated bubbles in a two-dimensional Stokes flow
• A diffuse-interface method for two-phase flows with soluble surfactants
• Simulations of soluble surfactants in 3D multiphase flow
• Adaptive time stepping for vesicle suspensions
• A continuum method for modeling surface tension
• Numerical analysis of blood flow in the heart
• Removing the stiffness from interfacial flows with surface tension
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• A highly accurate boundary integral equation method for surfactant-laden drops in 3D
• A fast integral equation method for solid particles in viscous flow using quadrature by expansion
• Level-set simulations of soluble surfactant driven flows
• A level-set method for two-phase flows with soluble surfactant
• A hybrid interface tracking -- level set technique for multiphase flow with soluble surfactant
• Error estimation for quadrature by expansion in layer potential evaluation
• An accurate integral equation method for simulating multi-phase Stokes flow
• On the evaluation of layer potentials close to their sources
• A cut finite element method for a Stokes interface problem
• A level-set method for interfacial flows with surfactant
• Droplets and Bubbles in Microfluidic Devices
• A Fast Algorithm for Simulating Multiphase Flows Through Periodic Geometries of Arbitrary Shape
• Slow Viscous Flow
• Solving Ordinary Differential Equations I
• The effects of surfactants on drop deformation and breakup
• The effect of surfactant on the transient motion of Newtonian drops
• Influence of Surfactant on Rounded and Pointed Bubbles in Two-Dimensional Stokes Flow
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• The effect of surfactants on drop deformation and on the rheology of dilute emulsions in Stokes flow
• Marangoni effects on drop deformation in an extensional flow: The role of surfactant physical chemistry. I. Insoluble surfactants
• Adaptive Quadrature by Expansion for Layer Potential Evaluation in Two Dimensions
• Accelerating the Nonuniform Fast Fourier Transform
• Time-evolving bubbles in two-dimensional Stokes flow
• Analytical and Computational Methods for Two-Phase Flow with Soluble Surfactant
• On a pair of interacting bubbles in planar Stokes flow
• Interfacial dynamics for Stokes flow.
• An efficient numerical method for studying interfacial motion in two-dimensional creeping flows

This page was built for publication: Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow