The interaction of fibers in a viscous (Stokes) fluid plays a crucial role in industrial and
biological processes, such as sedimentation, rheology, transport, cell division, and …

We introduce methods for large-scale Brownian Dynamics (BD) simulation of many rigid
particles of arbitrary shape suspended in a fluctuating fluid. Our method adds Brownian …

This paper presents an accelerated quadrature scheme for the evaluation of layer potentials
in three dimensions. Our scheme combines a generic, high order quadrature method for …

The presence of surfactants alters the dynamics of viscous drops immersed in an ambient
viscous fluid. This is specifically true at small scales, such as in applications of droplet based …

In writing this book, I set out to create an accessible introduction to fast multipole methods
(FMMs) and techniques based on integral equation formulations. These are powerful tools …

We present a new derivation of a boundary integral equation (BIE) for simulating the three-
dimensional dynamics of arbitrarily-shaped rigid particles of genus zero immersed in a …

High-resolution blood flow simulations have potential for developing better understanding
biophysical phenomena at the microscale, such as vasodilation, vasoconstriction and …

The method of regularized stokeslets is extensively used in biological fluid dynamics due to
its conceptual simplicity and meshlessness. This simplicity carries a degree of cost in …

We present a numerical method for computing the single layer (Stokeslet) and double layer
(stresslet) integrals in Stokes flow. The method applies to smooth, closed surfaces in three …

Stokes flows with near-touching rigid particles induce near-singular lubrication forces under
relative motion, making their accurate numerical treatment challenging. With the aim of …