Publisher Summary This chapter discusses stabilized finite element formulations for
incompressible flow computations. Finite element computation of incompressible flows …

We present a general formulation for the analysis of fluid-structure interaction problems
using the particle finite element method (PFEM). The key feature of the PFEM is the use of a …

Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …

The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

In recent years there have been significant developments in the development of stable and
accurate finite element procedures for the numerical approximation of a wide range of fluid …

New finite element computational strategies for free-surface flows, two-liquid flows, and
flows with drifting cylinders are presented. These strategies are based on the deforming …

Stabilized methods are proposed and analyzed for a linearized form of the incompressible
Navier-Stokes equations. The methods are extended and tested for the nonlinear model …

Some stabilized finite element methods for the Stokes problem are reviewed. The Douglas-
Wang approach confirms better stability features for high order interpolations. Next, the …

This paper is an overview of the finite element methods developed by the Team for
Advanced Flow Simulation and Modeling (T* AFSM)[http://www. mems. rice. edu/TAFSM/] for …

Numerical simulations of flow problems with moving boundaries commonly require the
solution of the fluid equations on unstructured and deformable dynamic meshes. In this …