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

Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …

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 …

The aim of the present chapter is to provide an in‐depth survey of arbitrary Lagrangian–
Eulerian (ALE) methods, including both conceptual aspects of the mixed kinematical …

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 …

Since the initial publication of Hu et al.(1992, Theor. Comput. Fluid Dyn. 3, 285), the
numerical method developed for direct simulations of fluid–solid systems using the arbitrary …

Earthquakes are potentially devastating natural events which threaten lives, destroy
property, and disrupt life-sustaining services and societal functions. In 1986, the National …

Meshfree Particle Methods is a comprehensive and systematic exposition of particle
methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods …

In this paper, the immersed finite element method (IFEM) is proposed for the solution of
complex fluid and deformable structure interaction problems encountered in many physical …

We derive the Saint-Venant system for the shallow waters including small friction, viscosity
and Coriolis-Boussinesq factor departing from the Navier-Stokes system with a free moving …