A fast integral equation method for solid particles in viscous flow using quadrature by expansion

L af Klinteberg, AK Tornberg - Journal of Computational Physics, 2016 - Elsevier
Boundary integral methods are advantageous when simulating viscous flow around rigid
particles, due to the reduction in number of unknowns and straightforward handling of the …

Rotational diffusion depends on box size in molecular dynamics simulations

M Linke, J Köfinger, G Hummer - The journal of physical …, 2018 - ACS Publications
We show that the rotational dynamics of proteins and nucleic acids determined from
molecular dynamics simulations under periodic boundary conditions suffer from significant …

Fast Ewald summation for free-space Stokes potentials

L af Klinteberg, DS Shamshirgar… - Research in the …, 2017 - Springer
We present a spectrally accurate method for the rapid evaluation of free-space Stokes
potentials, ie, sums involving a large number of free space Green's functions. We consider …

[HTML][HTML] Fast Ewald summation for Stokes flow with arbitrary periodicity

J Bagge, AK Tornberg - Journal of Computational Physics, 2023 - Elsevier
A fast and spectrally accurate Ewald summation method for the evaluation of stokeslet,
stresslet and rotlet potentials of three-dimensional Stokes flow is presented. This work …

Highly accurate special quadrature methods for Stokesian particle suspensions in confined geometries

J Bagge, AK Tornberg - International Journal for Numerical …, 2021 - Wiley Online Library
Boundary integral methods are highly suited for problems with complicated geometries, but
require special quadrature methods to accurately compute the singular and nearly singular …

Fast Ewald summation for Green's functions of Stokes flow in a half-space

S Srinivasan, AK Tornberg - Research in the Mathematical Sciences, 2018 - Springer
Recently, Gimbutas et al.(J Fluid Mech, 2015. https://doi. org/10.1017/jfm. 2015.302) derived
an elegant representation for the Green's functions of Stokes flow in a half-space. We …

Accurate quadrature and fast summation in boundary integral methods for Stokes flow

J Bagge - 2023 - diva-portal.org
This thesis concerns accurate and efficient numerical methods for the simulation of fluid flow
on the microscale, known as Stokes flow or creeping flow. Such flows are important, for …

[PDF][PDF] Methods for simulation and calculation of diffusion

M Linke - 2019 - d-nb.info
Zusammenfassung Das diffuse Verhalten von Makromolekülen in Lösung ist ein
Schlüsselfaktor in der Kinetik von makromolekularen Bindungs und Anordnungs Prozessen …