A new parallel, computationally efficient immersed boundary method for solving three-
dimensional, viscous, incompressible flows on unbounded domains is presented. Immersed …

This work presents a reduced order modeling technique built on a high fidelity embedded
mesh finite element method. Such methods, and in particular the CutFEM method, are …

The immersed boundary method (IBM) of Peskin (J. Comput. Phys., 1977), and derived
forms such as the projection method of Taira and Colonius (J. Comput. Phys., 2007), have …

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 …

Lentink & Dickinson (2009 J. Exp. Biol. 212, 2705–2719.(doi: 10.1242/jeb. 022269)) showed
that rotational acceleration stabilized the leading-edge vortex on revolving, low aspect ratio …

Lattice Green's functions (LGFs) are fundamental solutions to discretized linear operators,
and as such they are a useful tool for solving discretized elliptic PDEs on domains that are …

This article shows how to consistently and accurately manage the Lagrangian formulation of
chemical reaction equations coupled with the superficial velocity formalism introduced in the …

This article describes how much the computed absolute permeability is impacted by the slip
effect at the fluid/solid interface, in the context of single-phase pore-scale flow. While this …

We simulate the head-on collision between vortex rings with circulation Reynolds numbers
of 4000 using an adaptive, multiresolution solver based on the lattice Green's function. The …

The demand for micro-air vehicles is increasing as well as their potential missions. Whether
for discretion in military operations or noise pollution in civilian use, the improvement of …