We provide an overview of the role of parallel finite element computations in fluid
mechanics. We emphasize the class of flow problems involving moving boundaries and …

An efficient and inexpensive method for the detailed simulation of liquid/solid flows with a
high content of large solid particles is presented. In a finite volume context, a fixed Cartesian …

High fidelity large-scale direct numerical simulation of particulate flows is of great value in a
variety of industrial applications. It is computationally intensive as it combines time …

Saddle-point problems give rise to indefinite linear systems that are challenging to solve via
iterative methods. This paper surveys two recent techniques for solving such problems …

The connection between the multilevel factorization method recently proposed by Sarin and
Sameh for solving mixed discretizations of the Stokes equation using a divergence-free finite …

The paper presents an algebraic scheme to construct hierarchical divergence-free basis for
velocity in incompressible fluids. A reduced system of equations is solved in the …

In this paper, we consider solving matrix systems arising from the linear integral equations
and PDE by two recent parallel techniques. The systems are indefinite due to linear …

We present an overview of the design of software packages called Particle Movers that have
been developed to simulate the motion of particles in two and three dimensional domains …

High fidelity large-scale direct numerical simulation of particulate flows is of great value in a
variety of industrial applications. It is computationally intensive as it combines time …

We provide an overview of the role of parallel computing in finite element computations, with
emphasis on computational fluid mechanics and moving boundaries and interfaces. The …