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 computation of flow problemsâ€¦ (More)

Finite element computation of incompressible flows involves two main sources of potential numerical instabil it ies associated with the Galerkin formulation of a problem. One source is due to theâ€¦ (More)

Finite element formulations based on stabilized bilinear and linear equal-order-interpolation velocity-pressure elements are presented for computation of steady and unsteady incompressible flows. Theâ€¦ (More)

We discuss the stabilized finite element computation of unsteady incompressible flows, with emphasis on the space-time formulations, iterative solution techniques and implementations on the massivelyâ€¦ (More)

We present st rategies to update thc mesh as the spat ia l domain changcs i ts shape in computt t t ions of l low problcms wi th moving boundar ies and inter faces. These strate.q ics arc used inâ€¦ (More)

We provide an overview of the finite element methods we developed in recent years for computation of fluid dynamics problems with moving boundaries and interfaces. This class of problems includeâ€¦ (More)

The Shear-Slip Mesh Update Method, designed to handle certain classes of flow problems with moving boundaries and interfaces, is presented. Specifically, we focus on problems with large but regularâ€¦ (More)

The influence of the location of the lateral boundaries on 2D computation of unsteady incompressible flow past a circular cylinder is investigated. The case of Reynolds number 100 is used as aâ€¦ (More)

We provide an overview of some of the interface-tracking and interface-capturing techniques we developed for finite element computation of flow problems with moving boundaries and interfaces. Thisâ€¦ (More)

A parallel implementation of an implicit finite element formulation for incompress-ible fluids on a distributed-memory massively parallel computer is presented. The dominant issue that distinguishesâ€¦ (More)