A spectral boundary integral method for simulating large numbers of blood cells flowing in
complex geometries is developed and demonstrated. The blood cells are modeled as finite …

We develop a Lagrangian numerical algorithm for an elastic rod immersed in a viscous,
incompressible fluid at zero Reynolds number. The elasticity of the rod is described by a …

Many problems in Stokes flow (and linear elasticity) require the evaluation of vector fields
defined in terms of sums involving large numbers of fundamental solutions. In the fluid …

We report on the development and validation of a new numerical wave tank (NWT) solving
fully nonlinear potential flow (FNPF) equations, as a more efficient variation of Grilli et al.'s …

In boundary element methods (BEM) in R 3, matrix elements and right hand sides are
typically computed via analytical or numerical quadrature of the layer potential multiplied by …

A spectrally accurate method for the fast evaluation of N-particle sums of the periodic
Stokeslet is presented. Two different decomposition methods, leading to one sum in real …

Purpose Based on the error analysis, the authors proposed a new kind of high accuracy
boundary element method (BEM)(HABEM), and for the large-scale problems, the fast …

Blood flow is dictated by the dynamics of red blood cells (RBCs), which constitute by far the
major component. RBCs are made of aa two dimensional fluid bilayer of phospholipids …

We present a fast, high-order accurate and adaptive boundary integral scheme for solving
the Stokes equations in complex—possibly nonsmooth—geometries in two dimensions. We …

We have developed easy to use fast multipole method (FMM) libraries for the Laplace, low-
frequency Helmholtz, and Stokes equations in two and three dimensions. The codes are …