We review some of the recent advances in level-set methods and their applications. In
particular, we discuss how to impose boundary conditions at irregular domains and free …

In this review, we present nanofluidic phenomena, particularly as they relate to applications
involving analysis of biomolecules within nanofabricated devices. The relevant length scales …

The Helmholtz-Hodge Decomposition (HHD) describes the decomposition of a flow field into
its divergence-free and curl-free components. Many researchers in various communities like …

We present a level set method on non-graded adaptive Cartesian grids, ie grids for which
the ratio between adjacent cells is not constrained. We use quadtree and octree data …

We present a simple and efficient fluid–solid coupling method in two and three spatial
dimensions. In particular, we consider the numerical approximation of the Navier–Stokes …

We present a review on numerical methods for simulating multiphase and free surface flows.
We focus in particular on numerical methods that seek to preserve the discontinuous nature …

Recent experimental studies have shown that confinement can profoundly affect self-
organization in semi-dilute active suspensions, leading to striking features such as the …

Simulating flow through porous media with explicit considerations of complex
microstructures is very challenging using conventional sharp-interface methods because of …

We present finite difference schemes for solving the variable coefficient Poisson and heat
equations on irregular domains with Dirichlet boundary conditions. The computational …

We present a level set approach to the numerical simulation of the Stefan problem on non-
graded adaptive Cartesian grids, ie grids for which the size ratio between adjacent cells is …